An Extensive Assessment of the Energy Management and Design of
Battery Energy Storage in Renewable Energy Systems
A. K. ONAOLAPO, B. T. ABE
Electrical Engineering Department,
Tshwane University of Technology,
eMalahleni Campus,
SOUTH AFRICA
Abstract: - Many benefits are derivable when renewable energy systems (RES) are integrated with battery energy
storage systems (BESS). However, appropriate energy management techniques should be adopted to realize
optimal benefits. Many BESS operations’ optimization approaches are available in RES with various techno-
economic, environmental, and dispatch-related outputs. BESS operations are optimized using different methods.
Past studies have mainly concentrated on certain renewable energy systems designed for specific purposes, such as
distributed generation or large-scale. This paper thoroughly examines and analyzes various battery management
systems by considering the relationship between the optimization methodology and the intended application. This
strategy enables the identification of connections between favored optimization approaches and specific
optimization goals. Some approaches are more effective in solving economic goal optimizations, whereas others
are commonly used for technical goal optimizations. The selection of the solution methodology is also
demonstrated to be highly contingent upon the degree of mathematical formulation of the problem. An analysis is
conducted to assess the strengths and limitations of the described optimization techniques. The conclusion is that
hybrid approaches, which combine the benefits of multiple techniques, will significantly impact the creation of
future operating strategies. This paper provides a comprehensive analysis of optimization approaches and battery
applications, aiming to assist researchers in efficiently identifying appropriate optimization strategies for emerging
applications in the new generation.
Key-Words: - Battery energy management, Control approaches, Hybrid goals, Optimization algorithms, Renewable
energy systems, Smart Grid, Technical goals, Economic goals.
Received: April 9, 2023. Revised: February 11, 2024. Accepted: April 14, 2024. Published: May 9, 2024.
1 Introduction
In modern power systems, battery energy storage
systems (BESS) are crucial due to their contribution
to smart grid development, provision of technical
support to power systems, and effectively tackling
the problems of renewable energy intermittency, [1].
Researchers have examined BESS in various ways to
improve its integration into renewable energy
systems (RES). These systems include distributed
renewable systems, renewable energy power plants,
microgrids, and hybrid renewable energy systems
(HRES). Other significant uses of battery storage in
power systems that have gained attention include
frequency and voltage management, transmission
network expansions and improvements, and
alleviating congestion in transmission networks, [2].
Although batteries have been recognized as a
highly efficient solution for dealing with the sporadic
nature of renewable energy, the significant upfront
expense of BESS continues to hinder their broad
adoption, [3].
Another important consideration is the duration
for which the battery remains functional, making
maximizing its usage throughout its lifespan a crucial
worry for most applications. Some authors have
extensively discussed the search for the most
efficient battery size in a recent article, [4]. This
evaluation complements the sizing assessment by
examining devices with a fixed battery capacity. An
essential factor is that the implementation of the
BESS (i.e. which specific goals have been given
priority) significantly influences the intended
functioning of the BESS, indicating that the choice of
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the BESS's application goal is crucial. Hence, this
study scrutinizes a substantial body of research on
battery optimization, explicitly emphasizing the
anticipated functionalities that batteries must fulfill
and exploring the most effective methods for battery
management.
Many reviews and research on energy storage
systems (ESSs) have been published in recent years,
with a specific emphasis on various facets. Several of
these sources include comprehensive explanations of
BESS technology for energy storage regulations [5],
battery cost modeling [6], life cycle cost analysis [7],
battery management systems [8], and large-scale
applications [9], [10]. Prior analyses on battery
optimization focused on individual renewable energy
systems, where battery storage played a crucial role.
These include distributed energy systems,
microgrids, and large-scale wind power plants or
solar energy. A thorough examination was conducted
on several ESSs to improve wind power utilization.
This includes addressing oscillation damping, voltage
regulation, and fluctuation suppression, [11]. Authors
in [12], similarly examined the use of ESSs for
integrating wind power. It not only discusses the
appropriate ESS technology but also covers ESS
control, operation, and design, specifically for wind
power facilities. Additionally, some studies focus on
specific services, such as managing power output
smoothing in solar PV and wind power plants, [13],
and using batteries for frequency regulation in
contemporary power systems, [14]. These articles,
which concentrate on specific themes, provide the
benefit of delivering a more precise overview within
a narrower scope. Nevertheless, it cannot offer a
comprehensive perspective on BESS's extensive
array of uses. It is important to note that studies
specifically focus on battery management systems,
[15]. These reviews aim to enhance the management
and control of battery cells at a more fundamental
level, which is not the main emphasis of this study.
Furthermore, the evaluations have encompassed
large-scale applications and applications inside
distributed energy systems. Authors in [16], provide
a comprehensive analysis of the use of BESS in
home Photovoltaic (PV) systems. The evaluation
emphasizes the economic feasibility of using BESS
in this application.
Furthermore, several studies have provided a
concise overview of the applications of ESS in
distributed PV generation, explicitly highlighting the
significance of BESS technologies, as well as
optimization strategies, [17], [18]. In addition, hybrid
energy storage systems (HESS), namely the
integration of super-capacitor and BESS, have
garnered considerable interest due to their mutually
beneficial characteristics. Extensive research has
been conducted on utilizing HESS in microgrids,
[19], [20], [21]. A further evaluation is conducted on
HESS and its suitability for use in smart grid systems
and other applications involving electric vehicles
(EVs), [22]. Additionally, more recent articles
specifically concentrate on EV batteries and the
enhancement of virtual power plants (VPPs), [23].
While this analysis includes specific approaches and
optimization goals for efficiently running VPPs and
HESS, it does not primarily focus on the particular
factors related to the operation of EV batteries, VPPs,
and HESS. A prevalent characteristic in the studies
above is their concentration on a particular energy
system or a specific utilization of BESS or ESS.
Nevertheless, there are still inquiries regarding the
primary goal of integrating a battery into RESs and
the rationale for selecting a particular approach or
model to enhance the battery's performance. This
study seeks to address these inquiries by compiling
the operational goals and methodologies of battery
research. This research highlights the primary
relationships between the BESS modeling methods,
specific optimization goals, and the appropriate
approaches to solve the problems. The choice of the
BESS modeling approach is dependent on its
intended purpose and application complexity. Also,
the integration of battery degradation modeling is
related to its application objectives and operation
duration. Another essential portion considered in this
assessment is the connection between the
recommended approaches and the selected
optimization goals for BESS optimization. Particular
optimization approaches are suitable for solving
specific problems. In addition, analysis of BEM
strategies and goals is essential for pattern
identifications of BESS application goals and
optimization methods, enabling researchers to
examine fundamental concepts of running BESS in
different RESs. This includes the analysis of BESS
methodologies, operational goals, and modeling.
These principles, derived from a comprehensive
literature review, can serve as a reference for future
implementations of BESS in any RES.
Furthermore, new papers specifically concentrate
on the broader uses of BESS. A comprehensive
analysis was carried out to examine the utilization of
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adaptable ESSs for integrating renewable energy
(RE). The analysis categorized the different types of
energy storage technologies, including gas, biomass,
magnetic, compressed air, pumped, and batteries,
[24], [25]. This configuration facilitates the
comparison of various technologies but hinders the
solutions in ESS applications and the identification of
shared objectives. A compelling synopsis of the
integration of BESS was offered, employing
bibliometric analysis. Examining data using a survey-
based method may be challenging in uncovering the
underlying insights, but it provides valuable
information. The study in [26], comprehensively
summarized technologies integrating RE to support
the power system. However, the crucial solution
strategies for battery optimization were not
mentioned. This study provides a comprehensive
overview of various applications of BESS. The
analysis is organized based on the methodologies
employed to solve optimization challenges, the
objectives of the applications, and the modeling
methods. Furthermore, this analysis provides a
concise discussion of the fundamental connections
between the current developments in battery energy
management, the BESS optimization approaches, and
aims. This review focuses on the RE systems'
operations of ESS and BESS with specific capacities.
This study contributes to the body of knowledge
in the following ways:
Analyse crucial optimization techniques and
algorithms to demonstrate their strengths in
BEM design.
Evaluate optimization strategies to identify
appropriate, efficient approaches for different
battery applications.
An in-depth assessment of the optimization
methodology used and the intended
application was conducted in this review to
identify the connections between favored
optimization approaches and specific
optimization goals.
The demonstration of the selection of solution
methodology is highly contingent upon the degree of
mathematical formulation of the problems.
2 The BESS Operation Design
Various BESS operations aim to encompass battery
power management and optimization for optimal
economic outcomes, adherence to a reference target,
and battery voltage and current control to ensure the
stability of the RES's output. Additionally, the time
frame for the battery's control and management goal
window might vary from milliseconds to hours.
Hence, it is crucial to distinguish between various
techniques employed to manage and regulate
batteries. A three-tier control hierarchy, commonly
incorporating battery storage, has gained widespread
utilization and acceptance in microgrid research,
[27]. The three-layer control architecture consists of
tertiary control at the top layer, prioritizing
maximizing the microgrid's economic outcome. The
secondary control acts as an intermediary between
the primary and tertiary control layers, while the
primary control, at the lowest layer, is primarily
concerned with the fundamental control of
converters. This paper presents a comparable notion
built on a three-layer control hierarchy for a
microgrid. Figure 1 illustrates the three-layer control
architecture utilized for battery control and
management.
The primary goals of each layer are depicted with
solid lines, while dotted lines indicate the
information and power flows. A BESS converter
controller's primary function is to govern the power
transfer from AC to DC and DC to AC while
charging and discharging, respectively, similar to the
fundamental control in a microgrid. The controller
operates with a temporal precision ranging from
milliseconds to seconds. Simultaneously, the
controller also aims to track the provided reference
from secondary control to uphold the RES's stability.
The secondary control, which operates at a temporal
resolution ranging from seconds to minutes, is
responsible for enhancing the dynamic properties of
the HRES, similar to the secondary control in a
microgrid. When a disturbance, such as a fluctuation
in RE, occurs in the system, the system controller
will work to prevent any changes in frequency and
voltage through primary control. This ensures that
the power quality of the renewable energy system is
maintained.
Furthermore, BESS will be controlled in an ideal
manner to track any reference provided by tertiary
control. Tertiary control, which operates at a time
resolution of minutes to hours, involves the energy
management center acting as a steady-state system
optimizer to determine the best operational strategy
for the RES.
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Fig. 1: BESS and the control hierarchy
Both economic and steady-state technical criteria
can be utilized to optimize the performance of the
RES. Energy management activities may be
accomplished using practical dimensions, including
arbitrage, peak-shaving, reducing operational costs,
optimizing overall profits, and more. Please be aware
that this evaluation specifically examines the
anticipated functionalities of batteries in a RES and
the methodologies employed to accomplish these
functionalities. The functions often examine
durations ranging from minutes to hours or the entire
duration of the project. These timings are categorized
as secondary and tertiary controls. Thus, this review
provides a concise overview of the uses of BESS,
with particular emphasis on research about BESS
functioning for secondary and tertiary control
purposes.
3 Battery Energy Management and
Modeling
A BESS, composed of battery cells, is interconnected
in series and parallel arrangements with converters to
enable charging and discharging operations. Various
battery technologies, including redox flow batteries,
lithium-ion batteries, NaS batteries, and lead-acid
batteries, [28], show promise for usage in grid or
renewable energy systems (RES). This review does
not thoroughly analyze the effects of materials-
physics models on battery energy management
systems (BEMS). However, it is essential to
acknowledge that the physics of various battery
technologies will affect the operational approaches
and results of battery storage, particularly in terms of
degradation profile, round-trip efficiency, and state
of charge (SoC) restrictions, among others, [29].
BESS modeling uses mathematical formulae to
illustrate the behaviors of the batteries. Modeling the
Battery Energy Storage System (BESS) is crucial to
controlling and managing BESS. BESS models were
built at varied levels of sophistication and detail to
cater to various BESS management needs. Using
simplistic models for overall energy management
issues and employing more precise models for
intricate control challenges is a rational approach; for
instance, in research aimed at comparing the results
of utilizing various battery technologies, a
fundamental and universal battery model was
employed, with distinct characteristics assigned to
each battery type, [30].
Regarding simulation settings and modeling
methodologies, BESS models may be categorized
into fundamental and dynamic models, including
analogous circuit models. The fundamental model is
commonly used for modeling energy management in
steady-state conditions at minute/hour resolution.
Dynamic models offer extra benefits when
performing transient state dynamic control
simulations. This section also reviews the modeling
of BESS for battery deterioration, which is another
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critical component of BESS functioning. The primary
emphasis of this part is on using BESS modeling to
optimize battery energy in RES. The main goals of
battery energy optimization are technical
advancement and improved economic outcomes for
RESs. This view is different from battery
management, which aims to optimize the life cycle
and particular battery performance, such as the
research on temperature management, SoC
forecasting, fractional order models, [31] and so on.
The outcomes of battery management research can
serve as inputs for battery energy optimization. These
inputs could include the degradation profile,
resistance-capacitance model parameters, SoC’s
upper and lower limits, and round-trip efficiency.
3.1 Battery Fundamental Models
More details on the generally used BEM models, i.e.,
the fundamental models that track BESS SoC
variations due to the battery’s charging and
discharging operations. The SoC is a standard index
for measuring a battery’s energy level. SoCs range
from 0% to 100%, with 0% representing a discharged
battery and 100% representing a fully charged
battery. The quantity of stored charge concerning the
total capacity of a battery is referred to as its
SoC. Suppose we assume that the voltage of the
battery remains constant. In that case, the SoC may
be defined as the amount of energy stored in the
battery compared to its total energy capacity.
Moreover, the variations in battery condition
over specific time intervals may be characterized as a
time series comprising discrete values of SoC. An
increase in SoC signifies the batteries are being
charged, while a decrease in SoC means they are
being discharged. The mathematical representation of
this technique, which considers the efficiencies of
discharging and charging, denoted as ηd and ηc, is
summarized by equations (1) and (2), respectively,
[32].
,
arg
BESS
d BESS
P t t
SoC t t SoC t EC
whendisch ing
(1)
,
arg
BESS c
BESS
P t t
SoC t t SoC t EC
whench ing
(2)
where PBESS represents the power at which the
BESS is either discharging or charging. A positive
value of PBESS indicates that the battery is charging,
while a negative value indicates that the battery is
draining. This occurs over a specific period, Δt.
ECBESS stands for Energy Capacity of BESS. The
fundamental approach is often applied since it
focuses on BESS applications without specifying the
specific BESS/ESS technology type. This allows for
examining the impact of energy storage properties on
the entire system and identifying the best suitable
technologies for the specific application based on the
revealed required properties using the fundamental
model. To streamline the intricacy, several research
examined in this work assume that ηc and ηd are
constant variables. The values are contingent upon
the battery technology and operating parameters like
temperature, voltage, and current. Therefore,
alternative research has employed more intricate
methodologies to calculate these efficiencies, such as
employing curve-fitting techniques for estimation or
utilizing parameters derived from empirical findings,
[33].
3.2 Battery Dynamic Model
While the fundamental model effectively elucidates
the correlation between the power of charging and
discharging and the SoC of the battery, it
presupposes that alterations in SoC resulting from an
excess or shortfall of energy are consistently
attainable. It is presumed that any current or voltage
alteration or magnitude may be attained to
accommodate the anticipated variation in SoC.
Dynamic models can be used to accurately represent
the voltage and current characteristics, including
transients of the BESS when controlling them is
crucial, [34]. Equivalent circuits are a frequently
employed dynamic model technique. Various
dynamic models are often employed in the literature,
including simple and first- and second-order models.
Figure 2 displays a basic dynamic model for
batteries. The system comprises a voltage source
equal to the open-circuit voltage VOC and an internal
battery resistance R0, linked in series.
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Fig. 2: The battery’s basic dynamic model
The governing equation describes the battery’s
basic dynamic model, Eq. (3), which is advantageous
when the transitory characteristic of the system may
be disregarded.
minter al oc o
v v iR
(3)
To capture transient effects, first and second-
order dynamic models contain resistor-capacitor
(RC) networks, [35], as illustrated in Figure 3.
Applying Kirchhoff's rules to the circuit enables the
construction of a system of differential equations that
describes the time-dependent behavior of voltage.
Fig. 3: The battery’s second-order model
Utilizing battery models of second-order or first-
equivalent circuits enables users to comprehend the
intricate dynamic process of battery functioning via
differential equations’ solutions. State-space models
are a commonly employed dynamic method in which
differential equations are condensed into a concise
matrix equation by selecting an appropriate state
variable to determine solutions. The broad
availability of commercial software that rapidly
simulates very adaptive and complicated circuits,
such as PSCAD and MATLAB, has made these
techniques popular, [36], [37].
3.3 Models for the Deterioration of Batteries
The deterioration of battery performance is mainly
attributed to chemical processes in the electrolyte,
cathode, and anode, resulting in changes over time,
[35], [38]. Battery deterioration encompasses both
cycle and calendar deterioration. Calendar
deterioration refers to the natural deterioration of a
battery over time, regardless of whether it is used or
not. The SoC and the temperature of the battery
influence the pace of deterioration. Conversely,
cycling deterioration occurs whenever the battery is
charged and drained and is influenced by the extent
of discharge, the average SoC of each cycle, and the
average temperature of the cell. Regular cycles of
discharging and charging, as well as deeper cycles
(often defined as discharging below 20% of SoC,
which may vary depending on the battery type), may
decrease the battery's lifespan, particularly for
lithium-ion and lead-acid batteries. One significant
consequence of battery deterioration on system
modeling is the reduction in storage capacity,
referred to as capacity fade, [39]. In the battery
manufacturing sector, it is commonly acknowledged
that a battery, such as a lead acid or lithium-ion
battery, has reached the end of its useful lifespan and
should be replaced when its usable capacity falls
below 80% of its initial value. It is crucial to include
deterioration in the energy management process
when dealing with long-term projects, particularly
during long-term simulations. A measure different
from SoC, which is valuable for evaluating battery
deterioration, is the battery's state of health (SoH),
[40]. The SoH is often determined based on the
reduction in the rated capability, and it is expressed
as [35]:
(4)
08
EOL nom
CC
(5)
in which it is observed that when the battery is in a
pristine condition, the true battery capacity, denoted
as Cact, is equivalent to the nominal capacity, denoted
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as Cnom, (Cact = Cnom), resulting in a SoH of 100%.
The SoH is 0% when the capacity of Cact has
achieved its end-of-life (CEOL) capacity, shown by
Cact = CEOL. Subsequently, the capacity losses will be
assessed by utilizing experimental data that
quantifies the influence of analogous cycles on the
reduction in capacity. As previously mentioned, the
point at which 80% of the initial capacity of a fresh
battery is reached is often regarded as the end of its
lifespan, as indicated by the equation (5). On the
other hand, the operational battery capacity can
indicate deterioration, which is the discrepancy
between the loss of capacity and the nominal
capacity of a fresh battery. As previously mentioned,
the battery's deterioration process involves cycle and
calendar deterioration, with the former being the
primary factor in battery deterioration and more
challenging to evaluate. Consequently, several
methodologies have been devised to assess the
deterioration of BESS caused by cycling. The
machine learning technique, [41], is a method that is
regularly employed for counting cycles over a certain
period. This methodology is frequently utilized in
power electronic systems. By employing this
technique, the SoC profiles may be transformed into
cycles of equal value.
Furthermore, Wiener process models are
employed to assess battery deterioration. Research
with similar objectives has been carried out to
evaluate these models for optimizing the BESS in a
microgrid linked to the primary power grid, [42].
Additionally, several expenses associated with the
decline in battery performance have been employed,
including wear, usage, depreciation, and lifespan
costs, [43], [44]. Other research concentrates on
reducing battery deterioration by preventing
overcharging and deep discharging, [45]. The
primary objective is to minimize battery deterioration
by implementing optimized charge and discharge
methods, which drives the advancement of BEMS.
Another approach that is gaining more attention is
the utilization of HESS, which involves the
integration of ultracapacitors (UCs) to prolong the
battery's lifespan by handling high-frequency events,
[46].
4 The Goals of BEMS
The BESSs are crucial in the functioning of RESs,
providing many benefits such as regulating grid
frequency, smoothing power output, enabling peak
shaving, and improving overall system profitability.
The capabilities of the available BESS and the
operational demands of the RESs heavily influence
the anticipated roles of the BESS in a particular
system. This section provides a comprehensive
assessment of research focused on BEMS, explicitly
targeting the management of BESS regarding its
techno-economic and hybrid goals.
4.1 Technical Goals
The BESS has been adopted to enhance the technical
performance of RESs, optimize RE outputs, and
reduce distribution networks' power loss. Table 1 in
Appendix outlines the relevant literature on BEMS
for accomplishing the technical goals. Generally, the
applications executing technical goals focus on
secondary and tertiary controls. These two control
levels are based on the BESS operating architecture.
Regarding BESS management, these applications'
aims may be categorized into three main areas: i)
improving overall performance, ii) enhancing power
profile, and iii) optimizing energy usage.
The optimization of tertiary control goals, such
as battery scheduling for the daily or hourly
performance of RESs, is mainly accomplished
through long-term horizon optimization. Energy
optimization may be classified as a tertiary control
target, with the accumulated energy measured in
MWh or kWh units as the primary indicator. For
instance, the dispatched battery in [60], was to reduce
the loss of power in the distribution lines, and in [61],
was to reduce the amount of energy consumed by the
utility. Line loss refers to the total amount of reactive
and actual power lost in a distribution or transmission
power network over a specific period. This indication
is crucial for demonstrating the effectiveness of
network operations. Indicators based on accumulated
energy diverge from financial goals as they do not
incorporate power pricing. In addition to stored
energy, maintaining energy balance is a crucial
objective for BESS in RESs. For instance, in [62],
the battery balances power demand and supply inside
a microgrid.
Another crucial category of technical indicators
in the optimization process is the characteristics of
the power profile, measured in megawatts (MW) or
kilowatts (kW). These qualities encompass
mitigation of variations, accurate monitoring of
desired task execution, and peak load reduction, [63].
Another widely employed purpose of utilizing the
BESS is to control and monitor the intended
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allocation of resources. The forecasts frequently
define the desired dispatch. In these applications, the
BESS is used to adhere to the power target, minimize
discrepancies between the intended and actual wind
power generation, or mitigate forecasting mistakes,
[64].
Furthermore, several studies are dedicated to
utilizing the BESS to mitigate the intermittent
behavior of renewable energy-producing systems
caused by the unpredictable nature of the resources.
These studies primarily focus on solar PV and wind
farm variability, [65]. In addition to the technical
goals that have longer timeframes in tertiary control
layers, such as daily or hourly resolutions, some
significant technical measures, such as voltage and
frequency regulation, will be included in the scope of
secondary control. In traditional power systems,
thermal generators in the network or the spinning
reserves are activated to regulate the frequency. At
the same time, other technologies, such as static var
compensation (SVC), can be employed to regulate
the voltage by compensating for reactive power, [66].
By employing sophisticated power electronic
techniques, the battery may assist both reactive and
active power, enabling it to regulate voltage and
frequency, [67]. Table 1 (Appendix) provides more
comprehensive research on battery energy
management, explicitly addressing technological
objectives.
4.2 Economic Goals
Given the significance of economic performance,
many researchers have used economic factors to
optimize their batteries. In addition, various
indicators are employed as economic goals in battery
optimization, including maximizing the long-term
value generated by the ESSs, maximizing the
operational profits of the system, and minimizing the
overall operational cost, [68], among others. Table 2
(Appendix) provides a comprehensive overview of
several variables related to BEMS, focusing on
economic goals, as summarized from a selection of
literature.
Table 2 (Appendix) shows that the most
commonly used aim among the numeric indicators is
maximizing the operation profits, equivalent to
minimizing the overall operation expenses. However,
several studies have differing definitions of operating
expenses, particularly the components that make up
these costs. As an illustration, the process of reducing
the overall expense of a microgrid involved
considering the cost associated with shutting down or
starting up the power sources inside the microgrid,
the cost of power exchange between the utility and
the microgrid, and the cost of fuel for diesel
generators. Thus, Table 2 (Appendix) illustrates each
research's optimization goals, relying on the specific
components of the established indicators. The precise
components within the objectives can be identified in
this matter. These studies consider several factors
relevant to battery applications, resulting in varied
approaches. One possible cause is the variation in the
components used in the simulated system. For
instance, including conventional generators in the
microgrid might significantly impact the overall cost
structure. The microgrid analyzed in [69],
incorporated fuel cells and micro-turbines, taking
into account the expenses related to fuel, as well as
the costs associated with starting up and shutting
down the units.
Conversely, the microgrid examined in [70], only
relied on photovoltaic (PV) power generation,
focusing on the expenses incurred due to battery
deterioration and the financial gains from the
electricity market. Another consideration is that
researchers select specific indicators in their studies
due to various systems with distinct operational
procedures. An instance of this is if the functioning
of hybrid systems includes involvement in the energy
market since this will directly determine whether the
inclusion of profit/cost trading in the electricity
market is necessary. Table 2 (Appendix)
demonstrates that most of the research focused on the
power profits/costs due to the simulated system's
connection to the utility. Nevertheless, in self-
contained HRES, BESS does not consider the profit
or cost associated with power. Including specific
indicators is necessary to reach other specialized
aims for the RES or to meet a predetermined
optimization goal for the BESS. An instance of a
specialized objective is using the BESS to engage in
the regulation and reserve market, [71]. The objective
of including this ambition in the economic goals for
BESS management is to enhance profits by active
involvement in the energy regulation and reserve
market. When considering specific objectives, the
feed-in tariff was included to minimize the overall
cost of delivering the load, [72], as this energy
system requires. In addition, there are additional
specific objectives, such as the expenses associated
with greenhouse gas emissions [73], unserved
demand [74] and renewable curtailment [75]. These
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components become extra profits/costs to be added to
the target due to the specific emphasis on the
associated factors. Furthermore, recent research has
shown a heightened focus on battery deterioration.
These studies incorporate the expense of battery
deterioration as an additional factor in the overall
profit/cost analysis, [76].
4.3 Hybrid Goals
While those above technical and economic goals for
BEMS encompass a significant portion of research in
this area, there is a rising body of recent studies that
concentrate on utilizing the battery to simultaneously
achieve both technical and economic goals, referred
to as hybrid goals. This is logical since the technical
and economic goals are frequently interconnected,
mainly when the enhancements from technical
viewpoints may be measured in terms of economic
values. Hybrid goals, which consist of many
objectives, typically use multi-objective optimization
approaches. Table 3 (Appendix) is a compilation of
publications focused on BEMS using hybrid goals.
A practical approach to implementing hybrid
goals involves combining various objectives using a
set of weights to form a unified optimization
problem. If the weights are equal to the unit costs of
the objectives, the sum of the costs for individual
objectives will equal the overall cost. Table 2
(Appendix) displays several research pieces that
encompass technical and economic goals,
categorized by profits and costs. These extra
technical aspects have been acknowledged as
regularly used to assess profitability. Many studies
encompassing technical and economic goals and
involving a range of profit/cost elements can be
classified as having hybrid goals through economic
aggregation. For instance in [88], the authors used
BESS to conduct research that employed control
approaches to reduce PV curtailment and financial
loss. An alternative approach to accomplish hybrid
objectives is to frame the problem as a multi-
objective optimization.
In contrast to the single-objective problem that
requires finding a single optimal solution, the multi-
objective problem entails identifying a collection of
Pareto optimal options. This implies that the battery
will have the capability to enhance one performance
indication without compromising the others. Pareto
multi-objective solutions are commonly used with
artificial intelligence optimization technologies, such
as genetic particle swarm optimization (PSO) and
genetic algorithms (GA). An example of a multi-
objective problem is minimizing the cost of power
generation and life cycle emissions using HRES and
BESS, [89]. An additional comparable instance of
employing Pareto optimum operation involves
balancing economic gains by minimizing CO2
emissions and operation costs, [90].
Furthermore, it is noteworthy that several studies
have used artificial intelligence approaches directly
without relying on Pareto multi-objective
optimization solutions, [91]. The hybrid goals can
also be combined through multi-stage optimization,
where a single target is a primary outcome at each
step. A two-layer optimization methodology was
employed in the given scenario, as described in [92].
The top layer focused on minimizing the operational
cost of the BESS, while the bottom layer aimed to
minimize power variations and forecast uncertainty.
Furthermore, alternative methods can be employed to
regulate the battery for hybrid purposes, including
implementing rule-based control. The hybrid
optimization objectives are addressed in a prioritized
manner. In [93], the BEMS prioritized the efficient
battery utilization. The second priority was
smoothing the residual distribution grid demand, and
the third priority was the peak shaving.
5 Optimization Approaches for the
BESS
After selecting the goals for deploying the BESS, the
subsequent crucial task is determining the method of
controlling the battery to accomplish those goals.
This involves solving the optimization issue,
provided the goals and constraints have been clearly
defined. BESS optimization approaches refer to the
technological solutions that address BESS
optimization challenges. Choosing an appropriate
methodology to address the issue is a crucial stage.
Some issues may need to be compatible with specific
approaches due to constraints. An optimization issue
needs to be better defined; mathematical solutions
cannot be used.
Further elaboration on this topic will be provided
in the next section. In the optimization problem, the
power profile of the battery over a specific period is
typically included as part of the decision variable(s).
To solve the optimization problem, one must find the
optimal values for the decision variables to achieve
the highest performance for the specified objective
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among the available solutions. This process will
determine the battery storage's discharging and
charging power profile. Various approaches have
been used to solve the optimization problems, from
straightforward rule-based techniques to more
intricate multi-stage optimizations. This section
overviews the strategies used to solve BESS
optimum management problems.
5.1 The Adaptive Model Predictive Control
(AMPC) Method
The adaptive model predictive control (AMPC) is a
control algorithm that regulates parameters based on
real-time feedback to optimize system performance.
The AMPC applies conventional concepts to solve
intricate micro-grid problems and employs
systematic structures in a well-organized manner.
The adaptive controller ensures power
synchronization throughout the network, enabling
efficient power supply production from each
microgrid unit. AMPC provides a solution by
creating an ideal energy storage configuration,
energy consumption, and power generation for each
optimization sample case. The subsequent sample
instance presents a novel optimization solution by
utilizing the result of the previous solution as the new
input. The feedback mechanism theoretically
produces an ideal design that effectively addresses
the microgrid's disturbances. The primary factors
contributing to disruptions and uncertainty in the
micro-grid system are the energy generated by RESs
(affected by variations in solar irradiation and wind
speed) and the energy demand. The traditional model
predictive controller (MPC) cannot handle the
fluctuations in RESs; thus, the advanced model
predictive controller (AMPC) is better suited for this
task. This functions by incorporating updates to the
system based on alterations to its internal working
circumstances. Figure 4 displays the AMPC
algorithm flowchart. The state-space expressions
often employed for AMPC modeling are represented
by [32]:
1x t Ax t Bu t
(6)
y t Cx t
(7)
where x(t), u(t), and y(t) represent the charging state
of the BESS, the vector variables of the producing
units, and the output vector of the system's current
condition, respectively.
Fig. 4: Algorithm flowchart for AMPC
5.2 Artificial Bee Colony (ABC) Method
The artificial bee colony (ABC) algorithm is a
nature-inspired computational technique introduced
in 2005, [105]. It is an optimization approach that
emulates the behavior of bees in their quest for food
using mathematical algorithms. The bee colony
comprises three distinct types of bees. The initial
group is referred to as the employed bees (Bem); they
randomly explore the search region to discover
potential nectar locations (potential solutions). Upon
discovering a nectar position (NP), the bees commit
the specifics of this location (nectar quantity) to
memory and communicate the NP information to the
rest of the colony through a dance performed within
the hive. The dance length indicates the level of
nectar quality (fitness value). The second kind of bee
is referred to as the observer bee (Bon). These bees
observe the dance the working bees perform before
selecting a new NP. A wealthy NP garners a more
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significant number of observer bees compared to an
impoverished NP. The third kind of bee is referred to
as scout bees. These bees are worker bees whose nest
sites are discarded due to their low quality after a
specific number of attempts. Observer bees have the
potential to transition into worker bees if they come
upon a novel food source. During this search
procedure, exploitation and exploration co-occur.
The ABC optimization technique assigns an equal
number of spectator bees and employed bees. The
quantity of potential NPs is equivalent to the quantity
of bees now working. Scout bees mostly conduct the
scouting process, consisting of three critical phases in
each iteration: (1) Conduct a search for different NPs
and gather information on the quality of each NP. (2)
Onlooker bees pick an NP based on the information
provided by the employed bees. (3) Employed bees
with inferior NPs are reassigned as scout bees and
sent to explore new NPs.
During the initialization step, a random
distribution of the initial population of solutions xi (i
= 1, 2, . . ., Bem) is formed, where i represents the size
of the population and Bem is the number of hired bees.
Each solution is associated with a dimension,
denoted as Dn, which represents the number of
parameters that need to be optimized. Following
initialization, the solutions' population undergoes
successive cycles (C = 1, 2, . . ., MCN) of the search
process for the three categories of bees, with MCN
being the maximum cycle number. During each
cycle, the hired bees alter the NP by considering the
local information (visible content) and the quantity of
nectar available. When the quantity of nectar at the
new location surpasses that of the prior one, the bee
stores it in memory and disregards the previous
solution. Otherwise, it maintains the previous
position. Once all the industrious bees have
completed the exploration process, they disseminate
the acquired knowledge among the observing bees
within the hive. The observer bees choose a specific
NP by assessing the shared nectar information. The
likelihood of choosing an NP is correlated with the
quantity of honey. The roulette wheel selection
approach allows for the evaluation of the likelihood
of picking a specific NP. The likelihood of choosing
a particular NP is expressed as [105]:
1
em
i
iB
i
i
fitness
P
fitness
(8)
where fitness represents solution i’s fitness value.
It is worth mentioning that a wealthy NP will
attract a more significant number of observer bees
compared to a less affluent NP. Before the observer
bees choosing another NP, they assess the fitness
value of the position i in comparison to i + 1. This
process continues until all observer bees are
scattered. Should the solution's fitness fail to improve
within a set threshold, the employed bees will
relinquish this solution and transition into scout bees.
The cycle recommences upon selecting a new place
until the ultimate criteria are fulfilled. The ABC
algorithm employs the following methods to
ascertain the neighboring NP about the present NP:
0,1
ijnew ijold ijold kj
x x rand x x
(9)
where k
(1, 2, . . ., Bem), k i, and j
(1, 2, . . .,
Dn). During each cycle, the scout bees generate a
novel solution, provided by:
min max min
0,1
j j j j
inew i i i
x x rand x x
(10)
The ABC algorithm is characterized by three
control parameters: the maximum cycle number, the
limit value, and the colony size, [105]. Figure 5
displays the flowchart of the algorithm.
5.3 Backtracking Search Optimization (BSO)
Method
BSO has similarities to various evolutionary
algorithms. The BSO consists of five sequential
phases. The five stages involved in the process are
initialization of the population, selection I of the
population, mutation of the population, crossover of
the population, and selection II of the population,
[106].
(1) Initialization of the population
BSO is insensitive to the beginning value of the
population, allowing for random generation of the
initial population value.
,~,
i j j j
Pop U low up
(11)
where 𝑷𝒐𝒑, is the population,
𝑖
[1, 2,…,
𝑁
],
𝑁
represents the total number of elements in the
population.
𝑗
[1, 2,,], 𝐷 represents the population
dimension. 𝑙𝑜𝑤 and 𝑢𝑝 represent the lower and upper
bounds of the search interval, respectively. 𝑈 refers
to a function that generates values from a uniform
random distribution.
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(2) First (1st) selection of the population
BSO chooses new historical populations, referred to
as OPops, during each evolution generation. The
concept involves randomly choosing one individual
from a preceding population, ensuring that each
individual has an equal chance of being selected. A
random sample is selected from either the parent
population (𝑷𝒐𝒑) or the historical population
(𝑶𝑷𝒐𝒑) using two random integers. The algorithm
that is being suggested is outlined as:
,
,
Pop a b
OPop OPop a b
(12)
(3) Mutation of the population
The generation of a new population occurs through
the process of mutation, which is outlined as:
M Pop F OPop Pop
(13)
The coefficient F is the scale factor that satisfies:
3 , 1,2,...,
i
F rand i N
(14)
where 𝑟𝑎𝑛𝑑 is a randomly generated number within
the range of 0 to 1.
(4) Crossover of the population
Population crossover refers to the process in which
genetic information is exchanged between
individuals in a population during the reproduction
phase of a genetic algorithm. The control of the
number of crossing particles in the population is
achieved by manipulating the percentage parameters
using the BSOA method, as described by:
Fig. 5: Algorithm flowchart for ABC optimization
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,,
,
,,
,1
,0
i j i j
ij i j i j
M map
TPop map
(15)
where 𝒎𝒂𝒑 is a binary integer matrix with
dimensions 𝑁×𝐷. The first assignment is 1. The
expression is:
, 1:
,
0,
0,
i u mr rand D
i rand D
map a b
map a b



(16)
where 𝑟𝑎𝑛𝑑 (𝐷) is a randomly generated number
within the range of [0, D]. The parameter, 𝑚𝑟
represents the mixing ratio. r, a, and b are random
integers chosen uniformly from the interval [0,1].
𝒖
is an arbitrary integer vector consisting of the
numbers [1, 2, ..., 𝐷]. The BSO algorithm regulates
the size of the new population 𝑻 using Equation (16)
in the crossover process described above. Once the
new population 𝑻 is created, the border regulates the
elements within the population. If the element
surpasses the search border, a new population is
formed based on Equation (17).
(5) Second (2nd) selection of the population
The fitness values of the individuals at corresponding
positions in the new population 𝑷𝒐𝒑 and the
population 𝑻 are compared. If the fitness of the ith
individual in 𝑻 is lower than the fitness of 𝑷𝒐𝒑𝑖, then
𝑻𝑖 replaces 𝑷𝒐𝒑𝑖 and updates the contemporaneous
population 𝑷𝒐𝒑 and expressed as:
,
,
i i i
i
i i i
T fitness T fitness Pop
Pop Pop fitness T fitness Pop
(17)
The population 𝑷𝒐𝒑 has been upgraded and is
now entering the next iteration cycle. The algorithm
iterates the aforementioned procedure until it reaches
the maximum number of iterations or the fitness
value satisfies the predefined requirements. The BSO
algorithm produces the most efficient solution. The
BSO algorithm is shown in Figure 6.
5.4 Lighting Search Algorithm (LSA) Method
The LSA algorithm is shown in Figure 7. In 2005, a
sophisticated metaheuristic optimization technique
known as LSA was developed, [107]. The
phenomenon of lightning is utilized in the creation of
LSA. The search techniques of LSA for attaining
optimum solutions rely on step leader propagation.
The particles of LSA are referred to as projectiles,
which resemble the terms "swarm" or "particle" used
in other optimization approaches. The projectiles
represent the original population and are organized in
a binary tree formation. The projectiles might also be
arranged in a synchronous configuration with two
leaders at fork locations instead of the typical method
of utilizing a step leader. When a projectile moves
through the atmosphere and collides with molecules
and atoms, there is a dissipation of kinetic energy.
The mathematical representations of the kinetic
energy (Ep) and velocity (vp) of a bullet are given by:
Fig. 6: Algorithm flowchart for BSO
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2
2
11
1
p
p
E mc
v
c




















(18)
1
22
2
2
1
1
1
i
p
o
sF
vmc
v
c


















(19)
where vp and v0 indicate the current velocity and
starting velocity of the projectile, respectively. Fi is
the ionization constant rate, c is the speed of light, m
is the mass of the bullet, and s is the route length that
the projectile traverses. Equations (18) and (19)
demonstrate that a projectile's kinetic energy and
velocity are significantly influenced by the position
of the leader tip and the projectile's mass. If a
projectile has minimal mass and has to go a long
distance, it will lack the energy to ionize or explore
the desired distance. Under those circumstances, the
missile is limited to going just a short distance for
ionization or exploitation. Hence, the step leaders'
comparative energies determine the LSA's ability to
exploit and explore.
6 Discussion
This section discusses the correlations between
optimization objectives and approaches and the
trends in battery energy management targets and
techniques based on an analysis of BEM studies
focusing on optimization techniques and targets.
6.1 Exploration of the Connections between
Optimization Targets and Approaches
Based on the preceding analysis, it is evident that the
choice of optimization approach is closely linked to
the goals of a BESS and the formulation of the issue
to be optimized. When dealing with targets that may
be combined, such as energy consumption, profits,
expenses, or the costs of non-physical entities, the
goals can be effectively expressed as an objective
function, considering necessary constraints. This
formulation includes the choice factors in both the
objective function and the constraints. This category
encompasses most technical and economic goals
related to energy optimization and specific
components of hybrid goals. All the sampled
optimization techniques (from the proceeding
section) can be effectively employed to tackle these
issues. For instance, economic goals and a range of
revenues and expenses to be considered may be
easily expressed in a conventional optimization
format. Thus, it is evident that many researchers have
utilized these strategies to address their challenges,
[32], [108], [109], [110]. The selection of an
approach heavily depends on the formulation of the
optimization issue. When the problem is defined
correctly, it will reduce computing complexity and
increase optimization accuracy. Some approaches are
more suitable for straightforward implementations,
while others are desirable when a high level of
computational accuracy is desired.
Fig. 7: Algorithm flowchart for LSA
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6.2 Discussion on Trends of BEM Targets
Analysis of BEM targets reveals that the goals
selected are contingent upon the expectations of the
BESS operator/owner. When a private owner
operates the BESS, there is a greater likelihood that
the battery will be managed to maximize its
economic potential. Alternatively, suppose the power
network or a non-profit corporation manages BESS.
In that case, it is more probable that the BESS will
address system issues, such as maintaining system
stability. However, in the latter scenario, greater
emphasis will be placed on enhancing technical
performance. Technical and economic goals hold
universal significance, and the investing approach
determines any preference for one over the other.
Therefore, a significant trend in BEM aims will
involve the application of multi-objective
optimization for BEM. This means considering
numerous, perhaps conflicting, purposes for battery
optimization rather than focusing on a single service
or goal for the BESS to accomplish. A growing body
of research has employed several goals in their
battery optimization studies, with a comprehensive
list of such studies included in Table 3 (Appendix).
In addition to multi-objective optimization, while
pursuing one optimization goal, another target can be
accomplished simultaneously without any additional
work during the optimization process of the first
goal. As such, the efficiency of deploying the BESS
is significantly enhanced.
6.3 Analysis of BEM Strategies Trends
A comparative assessment of the benefits and
drawbacks of battery optimization strategies is
necessary before choosing the optimization approach
for a particular problem. Each optimization strategy
possesses distinct advantages and disadvantages,
indicating the absence of a universally superior
strategy for solving all BESS management
optimization challenges. By examining the merits
and drawbacks of each optimization method, it is
evident that a significant advancement in
optimization strategies is integrating several methods
to leverage their respective benefits and surpass the
effectiveness of the original approaches. As
emphasized in this review, several studies have been
conducted that have integrated multiple techniques
for battery optimization. The elementary use of
hybrid approaches involves partitioning the problem
into several phases or segments to assign appropriate
strategies to certain phases based on the unique
problem and the benefits of the selected
methodologies.
6.4 Additional Anticipated Developments
In addition to the BEM goals and methods stated
above, a growing body of research focuses on
enhancing the control and performance of battery
systems. Future research is expected to benefit from
advancements in battery technology and improved
battery management. This includes more precise
modeling of battery properties and reduced battery
deterioration. The modern power grid has included
artificial intelligence algorithms and machine
learning. One of the primary uses is for complete
perception, including forecasting power prices,
predicting demand, forecasting renewable energy,
and monitoring electric equipment. In addition,
intelligent decision-making is crucial in several
applications, such as demand-side management,
defect detection, and power system planning.
Furthermore, these algorithms are progressing in
battery operation and bidding inside power markets.
The battery operations will encompass aggregated
solar batteries functioning as virtual power plants
(VPP). A VPP is a network of interconnected
household batteries that may be operated and
synchronized collectively as a single power plant.
The combined energy extracted from each battery
can supply a substantial reservoir of manageable
solar energy.
Furthermore, the use of blockchain technology in
the distribution network has garnered increased
interest due to its ability to facilitate peer-to-peer
trade of home batteries and Electric Vehicles (EVs).
With increased user engagement, future power
markets are expected to become more dynamic.
Consequently, there will be a need to create more
complex concepts and approaches for BEMs.
7 Conclusion
The primary focus of this analysis has been on the
strategies and methodologies for integrating BESS
into RESs. The applications of BEMs have been
summarized based on the utilized optimization
strategies, selected scheduling objectives, and
modeling methodologies. Based on the evaluated
research, most of them utilized a standardized model
for their battery systems. This model employed
simplified charge and discharge processes to depict
the connection between the SoC and the power going
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into and out of the battery. In addition, the primary
goals of implementing the BESS can be classified
into technical, economic, and hybrid goals. Economic
goals are more likely pursued by private owners
seeking more significant profits, while system
operators prioritize technical goals to enhance system
performance. Hybrid methods (combining both
technical and economic goals), which leverage the
distinct strengths and limitations of diverse
techniques, are expected to play a crucial role in the
advancement of optimization strategies in the future,
thereby having a system that is technically sound and
economically reasonable for both consumers and
utilities alike. Prior reviews have concentrated on
particular RESs, such as distributed generation or
large-scale renewable energy plants. In contrast, this
review offers a thorough overview of battery
management approaches and examines the
connection between the chosen optimization targets
and the preferred optimization techniques used in
these studies. The selection of problem-solving
methods is heavily contingent upon the degree to
which the problem is mathematically stated.
Moreover, it is evident that algorithms, which
possess remarkable adaptability, may be applied and
used in many situations, irrespective of whether they
pertain to technical, economic, or hybrid goals. The
study compares the benefits and drawbacks of the
optimization strategies mentioned. It concludes that
hybrid approaches, which combine the advantages of
multiple techniques, will significantly impact future
operation plan development. Although a
comprehensive review and analysis have been
conducted in this study, its limitation is that no
simulation or experimental studies were performed.
As the shift towards further incorporation of
renewable energy progresses, greater demands are
expected to be placed on the efficiency of the BESSs.
The growing prevalence of battery storage
applications indicates that future studies should
explore developing more sophisticated optimization
strategies for managing battery storage to achieve
numerous objectives.
References:
[1] T. A. Boghdady, S. N. Alajmi, W. M. K.
Darwish, M. A. M. Hassan, and A. M. Seif, A
Proposed Strategy to Solve the Intermittency
Problem in Renewable Energy Systems Using
A Hybrid Energy Storage System, WSEAS
Transactions on Power Systems, vol. 16, pp.
41-51, 2021,
https://doi.org/10.37394/232016.2021.16.4.
[2] N. Tarashandeh, and A. Karimi, Utilization of
energy storage systems in congestion
management of transmission networks with
incentive-based approach for investors,
Journal of Energy Storage, vol. 33, pp.
e102034, 2021,
https://doi.org/10.1016/j.est.2020.102034.
[3] D. S. Mallapragada, N. A. Sepulveda, and J.
D. Jenkins, Long-run system value of battery
energy storage in future grids with increasing
wind and solar generation, Applied Energy,
vol. 275, pp. 115390, 2020,
https://doi.org/10.1016/j.apenergy.2020.11539
0.
[4] M. S. Javadi, M. Gough, S. A. Mansouri, A.
Ahmarinejad, E. Nematbakhsh, S. F. Santos,
and J. P. S. Catalao, A two-stage joint
operation and planning model for sizing and
siting of electrical energy storage devices
considering demand response programs,
International Journal of Electrical Power &
Energy Systems, vol. 138, pp. 107912, 2022,
https://doi.org/10.1016/j.ijepes.2021.107912.
[5] M. Zhang, W. Li, S. S. Yu, K. Wen, and
S.M. Muyeen, Day-ahead optimization
dispatch strategy for large-scale battery
energy storage considering multiple regulation
and prediction failures, Energy, vol. 270, pp.
126945, 2023,
https://doi.org/10.1016/j.energy.2023.126945.
[6] S. Henni, M. Schaffer, P. Fischer, C. Weinhar
dt, and P. Staudt, Bottom-up system modeling
of battery storage requirements for integrated
renewable energy systems, Applied Energy,
vol. 333, pp. 120531, 2023,
https://doi.org/10.1016/j.apenergy.2022.12053
1.
[7] H. Tang, and S. Wang, Life-cycle economic
analysis of thermal energy storage, new and
second-life batteries in buildings for providing
multiple flexibility services in electricity
markets, Energy, vol. 264, pp. 126270, 2023,
https://doi.org/10.1016/j.energy.2022.126270.
[8] Weng and Y. Zheng, State estimation models
of lithium-ion batteries for battery
management system: status, challenges, and
future trends, Batteries, 2023, 9, 131.
https://doi.org/10.3390/batteries9020131.
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A. K. Onaolapo, B. T. Abe
E-ISSN: 2224-350X
161
Volume 19, 2024
[9] Y. Yang, Z. Wu, J. Yao, T. Guo, F. Yang, Z.
Zhang, J. Ren, L. Jiang, and B. Li, An
overview of application-oriented
multifunctional large-scale stationary battery
and hydrogen hybrid energy storage system,
Energy Reviews, pp. 100068, 2024,
https://doi.org/10.1016/j.enrev.2024.100068.
[10] E. H. Y. Moa and Y. I. Go, Large-
scale energy storage system: safety and risk
assessment, Moa and Go Sustainable Energy
Research, vol. 10, no. 13, pp. 1-31, 2023,
https://doi.org/10.1186/s40807-023-00082-z.
[11] L. Xiong, S. Guo, S. Huang, P. Li, Z. Wang,
M. W. Khan, J. Wang, and T. Niu, Optimal
allocation and sizing of ESSs for power
system oscillation damping under high wind
power penetration, International Journal of
Electrical Power & Energy Systems, vol. 153,
2023, pp. 109385,
https://doi.org/10.1016/j.ijepes.2023.109385.
[12] T. Hou, R. Fang, D. Yang, W. Zhang,
and Jinrui Tang, Energy storage system
optimization based on a multi-time scale
decomposition-coordination algorithm for
wind-ESS systems, Sustainable Energy
Technologies and Assessments, vol.
49, February 2022, pp. 101645,
https://doi.org/10.1016/j.seta.2021.101645.
[13] Y. Ren, X. Yao, D. Liu, R. Qiao, L. Zhang, K.
Zhang, K. Jin, H. Li, Y. Ran, and F. Li,
Optimal design of hydro-wind-PV multi-
energy complementary systems considering
smooth power output, Sustainable Energy
Technologies and Assessments, vol. 50, 2022,
pp. 101832,
https://doi.org/10.1016/j.seta.2021.101832.
[14] S. A. Hosseini, M. Toulabi, A. Ashouri-
Zadeh, and A. M. Ranjbar, Battery energy
storage systems and demand response applied
to power system frequency control,
International Journal of Electrical Power &
Energy Systems, vol. 136, 2022, pp. 107680,
https://doi.org/10.1016/j.ijepes.2021.107680.
[15] G. Krishna, R. Singh, A. Gehlot, S. V. Akram,
N. Priyadarshi, and B, Twala, Digital
technology implementation in battery-
management systems for sustainable energy
storage: Review, challenges, and
recommendations, Electronics, 2022, vol. 11,
no. 17, pp.
2695, https://doi.org/10.3390/electronics1117
2695.
[16] A. C. Duman, H. S. Erden, O. Gonul, and
O. Guler, Optimal sizing of PV-BESS units
for home energy management system-
equipped households considering day-ahead
load scheduling for demand response and self-
consumption, Energy and Buildings, vol.
267, 2022, pp. 112164,
https://doi.org/10.1016/j.enbuild.2022.112164
[17] Y. Wang, X. Wang, S. Li, X. Ma, Y. Chen,
and S. Liu, Optimization model for harmonic
mitigation based on PV-ESS collaboration in
small distribution systems, Applied Energy,
vol. 356, 2024, pp. 122410,
https://doi.org/10.1016/j.apenergy.2023.12241
0.
[18] A. K. Onaolapo, “Reliability Study under the
Smart Grid Paradigm Using Computational
Intelligent Techniques and Renewable Energy
Sources, Ph.D. Thesis, University of
KwaZulu-Natal, Durban, South Africa; pg 1-
181, 2022.
[19] X. Lin and R. Zamora, Controls of hybrid
energy storage systems in microgrids: Critical
review, case study and future trends, Journal
of Energy Storage, vol. 47, 2022, pp. 103884,
https://doi.org/10.1016/j.est.2021.103884.
[20] T. Adefarati, R.C. Bansal, T. Shongwe, R.
Naidoo, M. Bettayeb, and A.K. Onaolapo,
“Optimal energy management, technical,
economic, social, political and environmental
benefit analysis of a grid-connected
PV/WT/FC hybrid energy system, Energy
Conversion and Management, 2023, 292:
117390,
https://doi.org/10.1016/j.enconman.2023.1173
90.
[21] T. Adefarati, G.D Obikoya, and A.K.
Onaolapo, A. Njepu “Design, and analysis of
a photovoltaic-battery-methanol-diesel power
system,” International Transaction on
Electrical Energy Systems (ITEES), vol. 31,
Issue 3, ISSN: 2050-7038, pp. e12800, 2021.
[22] M. B. F. Ahsan, S. Mekhilef, T. K. Soon, M.
B. Mubin, P. Shrivastava, and M.
Seyedmahmoudian, Lithium-ion battery and
supercapacitor-based hybrid energy storage
system for electric vehicle applications: A
review, Journal of Energy Research, vol.
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.17
A. K. Onaolapo, B. T. Abe
E-ISSN: 2224-350X
162
Volume 19, 2024
46, Issue 14, 2022, pp. 19826-19854,
https://doi.org/10.1002/er.8439.
[23] S. Deb, S. Sachan, M. S. Alam, and S. M.
Shariff, Electric Vehicle Integrated Virtual
Power Plants: A Systematic Review, Smart
Charging Solutions for Hybrid and Electric
Vehicles, 2022, pp. 361-379,
https://doi.org/10.1002/9781119771739.ch14.
[24] J. Mitali, S. Dhinakaran, and A. A. Mohamad,
Energy storage systems: A review, Energy
Storage and Saving, Volume 1, Issue 3, 2022,
pp. 166-216,
https://doi.org/10.1016/j.enss.2022.07.002.
[25] S. Choudhury, Review of energy
storage system technologies integration to
microgrid: Types, control strategies, issues,
and future prospects, Journal of Energy
Storage, vol. 48, 2022, pp. 103966,
https://doi.org/10.1016/j.est.2022.103966.
[26] Z. Guzovic, N. Duic, A. Piacentino, and N.
Markovska, Recent advances in methods,
policies and technologies at sustainable
energy systems development, Energy, vol.
245, 2022, pp. 123276,
https://doi.org/10.1016/j.energy.2022.123276.
[27] Y. Yang, S. Bremner, C. Menictas, and M.
Kay, Modelling and optimal energy
management for battery energy storage
systems in renewable energy systems: A
review, Renewable and Sustainable Energy
Reviews, vol. 167, 2022, pp. 112671,
https://doi.org/10.1016/j.rser.2022.112671.
[28] K. Sun and Q. Shu, Overview of the Types of
Battery Models, Chinese Control Conference,
Yantai, China, 2011, pp. 3644-3649.
[29] C. H. B. Apribowo, S. Sarjiya, S. P. Hadi, and
F. D. Wijaya, Optimal Planning of Battery
Energy Storage Systems by Considering
Battery Degradation due to Ambient
Temperature: A Review, Challenges, and
New Perspective, Batteries, 2022, vol. 8,
Issue 12,
https://doi.org/10.3390/batteries8120290.
[30] M. Adaikkappan, and N. Sathiyamoorthy,
Modeling, state of charge estimation, and
charging of lithium-ion battery in electric
vehicle: A review, International Journal of
Energy Research, 2021, vol. 46, no. 3, pp.
2241-2265, https://doi.org/10.1002/er.7339.
[31] Y. Wang, C. Zhou, G. Zhao, and Z. Chen, A
framework for battery internal temperature
and state-of-charge estimation based on
fractional-order thermoelectric model,
Transactions of the Institute of Measurement
and Control, 2022, pp.
1177/01423312211067,
https://doi.org/10.1177/01423312211067293.
[32] A. K. Onaolapo, R. Pillay Carpanen, D. G.
Dorrell, and E. E. Ojo, Reliability evaluation
and financial viability of an electricity power
micro-grid system with the incorporation of
renewable energy sources and energy storage:
A case study of KwaZulu-Natal, South Africa.
IEEE Access, 9: 159908-159924, ISSN:2169-
3536,
https://doi.org/10.1109/access.2021.3129980,
2021.
[33] S. Lee and D. Lee, A Novel Battery State of
Charge Estimation Based on Voltage
Relaxation Curve, Batteries, 2023, 9(10),
517, https://doi.org/10.3390/batteries9100517.
[34] F. Calero, and C. A. Canizares, Dynamic
modeling of battery energy storage and
applications in transmission systems, IEEE
Transactions on Smart Grid, 2021, vol. 12,
Issue. 1, pp. 589-598,
https://doi.org/10.1109/tsg.2020.3016298.
[35] B. H. Chen, P. T. Chen, Y. L. Yeh, and H. S.
Liao, Establishment of second-
order equivalent circuit model for
bidirectional voltage regulator converter: 48
V-aluminum-ion battery pack, Energy
Reports, vol. 9, pp. 2629–2637, 2023,
https://doi.org/10.1016/j.egyr.2023.01.086.
[36] J. Bilansky, M. Lacko, M. Pastor, A.
Marcinek, and F. Durovsky, Improved digital
twin of Li-ion battery based on generic
MATLAB model, Energies, 2023, 16(3),1194,
https://doi.org/10.3390/en16031194.
[37] H. U. Rehman, and U. Ritschel DC-Link
Voltage Control and Power Management of
BESS Integrated Wind Power System Using
PSCAD, 2024 IEEE 4th
International Conference on Power,
Electronics and Computer Applications
(ICPECA), Shenyang, China,
https://doi.org/10.1109/ICPECA60615.2024.1
0471133.
[38] H. Rauf, M. Khalid, and N. Arshad, Machine
learning in state of health and remaining
useful life estimation: Theoretical and
technological development in battery
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.17
A. K. Onaolapo, B. T. Abe
E-ISSN: 2224-350X
163
Volume 19, 2024
degradation modelling, Renewable and
Sustainable Energy Reviews, 2022, vol. 156,
pp. 111903,
https://doi.org/10.1016/j.rser.2021.111903.
[39] B. Khaki, and P. Das, Voltage loss
and capacity fade reduction in vanadium
redox battery by electrolyte flow control,
Electrochimica Acta, 2022, vol. 405, pp.
139842,
https://doi.org/10.1016/j.electacta.2022.13984
2.
[40] H. H Goh, Z. Lan, D. Zhang, W. Dai, T. A.
Kurniawan, and K. C. Goh, Estimation of the
state of health (SOH) of batteries using
discrete curvature feature extraction, Journal
of Energy Storage, vol. 50, 2022, pp. 104646,
https://doi.org/10.1016/j.est.2022.104646.
[41] H. Rauf, M. Khalid, and N. Arshad, Machine
learning in state of health and remaining
useful life estimation: Theoretical and
technological development in battery
degradation modelling, Renewable and
Sustainable Energy Reviews, 2022, vol. 156,
pp. 111903,
https://doi.org/10.1016/j.rser.2021.111903.
[42] Y. Zhu, S. Liu, K. Wei, H. Zuo, R. Du, and X.
Shu, A novel based-
performance degradation Wiener process
model for real-time reliability evaluation of
lithium-ion battery, Journal of Energy
Storage, 2022, vol. 50, pp. 104313,
https://doi.org/10.1016/j.est.2022.104313.
[43] Y. Zhou, Q. Meng, and G. P. Ong, Electric
bus charging scheduling for a single public
transport route considering nonlinear charging
profile and battery degradation effect,
Transportation Research Part B:
Methodological, vol. 159, 2022, pp. 49-75,
2022,
https://doi.org/10.1016/j.trb.2022.03.002.
[44] J. S. Nirbheram, A. Mahesh, and A.
Bhimaraju, Techno-economic optimization of
standalone photovoltaic-wind turbine-battery
energy storage system hybrid energy system
considering the degradation of the
components, Renewable Energy, 2024, vol.
222, pp. 119918,
https://doi.org/10.1016/j.renene.2023.119918.
[45] P. Kurzweil, B. Frenzel, and W. Scheuerpflug,
A Novel Evaluation Criterion for the Rapid
Estimation of the Overcharge and Deep
Discharge of Lithium-Ion Batteries Using
Differential Capacity, Batteries, 2022, 8(8),
86, https://doi.org/10.3390/batteries8080086.
[46] M. S. Wasim, S. Habib, M. Amjad, A. R.
Bhatti, E. M. Ahmed, and M. A. Qureshi,
Battery-ultracapacitor hybrid energy storage
system to increase battery life under pulse
loads, IEEE Access, 2022, vol. 10, pp. 62173-
62182,
https://doi.org/10.1109/access.2022.3182468.
[47] R. Aazami, O. Heydari, J. Tavoosi, M.
Shirkhani, A. Mohammadzadeh and A.
Mosavi, Optimal Control of an Energy-
Storage System in a Microgrid for Reducing
Wind-Power Fluctuations, Sustainability,
2022, 14, 6183,
https://doi.org/10.3390/su14106183.
[48] M. S. H. Lipu, S. Ansari, M. S. Miah, K.
Hasan, S. T. Meraj, M. Faisal, T. Jamal, S. H.
M. Ali, A. Hussain, K. M. Muttaqi, and M. A.
Hannan, A review of controllers and
optimizations based scheduling operation for
battery energy storage system towards
decarbonization in microgrid: Challenges and
future directions, Journal of Cleaner
Production, 2022, 360, 132188,
https://doi.org/10.1016/j.jclepro.2022.132188.
[49] R. Savolainen and R. Lahdelma, Optimization
of renewable energy for buildings with energy
storages and 15-minute power balance,
Energy, 2022, 243, 123046,
https://doi.org/10.1016/j.energy.2021.123046.
[50] A. Abbasi, H. A. Khalid, H. Rehman, and A.
U. Khan, A Novel Dynamic Load Scheduling
and Peak Shaving Control Scheme in
Community Home Energy Management
System Based Microgrids, IEEE Access,
2023, 11, 32508- 32522,
https://doi.org/10.1109/access.2023.3255542.
[51] P. L. C. García-Miguel, J. Alonso-
Martínez, S. Arnaltes Gómez, M. García
Plaza, and A. P. Asensio, A review on the
degradation implementation for the operation
of battery energy storage systems, Batteries,
2022, 8, 110,
https://doi.org/10.3390/batteries8090110.
[52] N. Tucker and M. Alizadeh, An online
scheduling algorithm for a community energy
storage system, IEEE Transactions on Smart
Grid, 2022, 13(6), 4651-4664,
https://doi.org/10.1109/tsg.2022.3179251.
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.17
A. K. Onaolapo, B. T. Abe
E-ISSN: 2224-350X
164
Volume 19, 2024
[53] B. Singh and A. K. Sharma, Benefit
maximization and optimal scheduling of
renewable energy sources integrated system
considering the impact of energy storage
device and Plug-in Electric vehicle load
demand, Journal of Energy Storage, 2022, 54,
105245,
https://doi.org/10.1016/j.est.2022.105245.
[54] A. Ebrahimi and M. Ziabasharhagh,
Introducing a novel control algorithm and
scheduling procedure for optimal operation of
energy storage systems, Energy, 2022, 252,
123991,
https://doi.org/10.1016/j.energy.2022.123991.
[55] A. K. Erenoglu, I. Şengor, O. Erdinc, A.
Tascıkaraoglu, and J. P. S. Catalao, Optimal
energy management system for microgrids
considering energy storage, demand response
and renewable power generation,
International Journal of Electrical Power and
Energy Systems, 2022, 136, 107714,
https://doi.org/10.1016/j.ijepes.2021.107714.
[56] H. Zakernezhad, M. S. Nazar, M. Shafie-
khah, and J. P. S. Catalao, Optimal scheduling
of an active distribution system considering
distributed energy resources, demand
response aggregators and electrical energy
storage, Applied Energy, 2022, 314, 118865,
https://doi.org/10.1016/j.apenergy.2022.11886
5.
[57] X. Zhang, Y. Son, and S. Choi, Optimal
scheduling of battery energy storage systems
and demand response for distribution systems
with high penetration of renewable energy
sources, Energies, 2022, 15, 2212.
https://doi.org/10.3390/en15062212.
[58] M. Ali, M. A. Abdulgalil, I. Habiballah,
and M. Khalid, Optimal scheduling of isolated
microgrids with hybrid renewables and energy
storage systems considering demand response,
IEEE Access, 2023, 11, 80266-80273,
https://doi.org/10.1109/access.2023.3296540.
[59] F. H. Aghdam, M. W. Mudiyanselage, B.
Mohammadi-Ivatloo, and M. Marzband,
Optimal scheduling of multi-energy type
virtual energy storage system in
reconfigurable distribution networks for
congestion management, Applied Energy,
2023, 333, 120569,
https://doi.org/10.1016/j.apenergy.2022.12056
9.
[60] O. D. Montoya and W. Gil-González,
Dynamic active and
reactive power compensation
in distribution networks with batteries: A day-
ahead economic dispatch approach,
Computers & Electrical Engineering, 2020,
vol. 85, pp. 106710,
https://doi.org/10.1016/j.compeleceng.2020.1
06710.
[61] H, Saboori and S. Jadid, Optimal scheduling
of mobile utility-scale battery energy storage
systems in electric power distribution
networks, Journal of Energy Storage, 2020,
vol. 31, pp. 101615,
https://doi.org/10.1016/j.est.2020.101615.
[62] R. K. Dhar, A. Merabet, A. Al-Durra, and A.
M. Y. M. Ghias, Power balance modes and
dynamic grid power flow in solar PV
and battery storage experimental DC-link
microgrid, IEEE Access, 2020, vol. 8, pp.
219847 – 219858,
https://doi.org/10.1109/access.2020.3042536.
[63] M. Uddin, M. F. Romlie, M. F. Abdullah, C.
K. Tan, G. M. Shafiullah, and A. H. A. Bakar,
A novel peak shaving algorithm for islanded
microgrid using battery energy storage
system, Energy, 2020, vol. 196, pp. 117084,
https://doi.org/10.1016/j.energy.2020.117084.
[64] Y. Yang, S. Bremner, C. Menictas, and M.
Kay, Impact of forecasting
error characteristics on battery sizing in
hybrid power systems, Journal of Energy
Storage, 2021, vol. 39, pp. 102567,
https://doi.org/10.1016/j.est.2021.102567.
[65] M. E. Hassanzadeh, M. Nayeripour, S.
Hasanvand, and E. Waffenschmidt,
Decentralized control strategy to improve
dynamic performance of micro-grid and
reduce regional interactions using BESS in the
presence of renewable energy resources,
Journal of Energy Storage, vol. 31, 2020, pp.
101520,
https://doi.org/10.1016/j.est.2020.101520.
[66] R. Horri and H. M. Roudsari, Adaptive under-
frequency load-shedding considering load
dynamics and post corrective actions to
prevent voltage instability, Electric Power
Systems Research, vol. 185, 2020, 106366,
https://doi.org/10.1016/j.epsr.2020.106366.
[67] H Almasalma and G Deconinck,
Simultaneous provision
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.17
A. K. Onaolapo, B. T. Abe
E-ISSN: 2224-350X
165
Volume 19, 2024
of voltage and frequency control by PV-
battery systems, IEEE Access, 2020, vol. 8,
pp. 152820- 152836,
https://doi.org/10.1109/access.2020.3018086.
[68] [68] C Huang, H Zhang, Y Song, L Wang, T.
Ahmad, and X. Luo, Demand Response for
Industrial Micro-Grid Considering
Photovoltaic Power Uncertainty and Battery
Operational Cost, IEEE Transactions on
Smart Grid, vol. 12, Issue: 4, 2021,
https://doi.org/10.1109/tsg.2021.3052515.
[69] A. A. Moghaddam, A. Seifi, T. Niknam,
and M. R. A. Pahlavani, Multi-objective
operation management of a renewable MG
(micro-grid) with back-up micro-turbine/fuel
cell/battery hybrid power source, Energy, vol.
36, Issue 11, 2011, pp. 6490-6507,
https://doi.org/10.1016/j.energy.2011.09.017.
[70] K. Uddin, R. Gough, J. Radcliffe, J. Marco,
and P. Jennings, Techno-economic
analysis of the viability of residential
photovoltaic systems using lithium-ion
batteries for energy storage in the United
Kingdom, Applied Energy, vol. 206, 2017, pp.
12-21,
https://doi.org/10.1016/j.apenergy.2017.08.17
0.
[71] N. Padmanabhan, M. Ahmed, and K.
Bhattacharya, Battery energy storage systems
in energy and reserve markets, IEEE
Transactions on Power Systems, vol. 35, no.
1, 2020,
https://doi.org/10.1109/tpwrs.2019.2936131.
[72] K. Milis, H. Peremans, and S V. Passel,
Steering the adoption of battery storage
through electricity tariff design, Renewable
and Sustainable Energy Reviews, vol. 98,
2018, pp. 125-139,
https://doi.org/10.1016/j.rser.2018.09.005.
[73] T. Terlouw, T. AlSkaif, C. Bauer, M.
Mazzotti, and R. McKenna, Designing
residential energy systems considering
prospective costs and life cycle
GHG emissions, Applied Energy, vol. 331,
2023, 120362,
https://doi.org/10.1016/j.apenergy.2022.12036
2.
[74] P. N. D. Premadasa, and D. P. Chandima, An
innovative approach of optimizing size
and cost of hybrid energy storage system with
state of charge regulation for stand-alone
direct current microgrids, Journal of Energy
Storage, vol. 32, 2020, 101703,
https://doi.org/10.1016/j.est.2020.101703.
[75] C. Root, H. Presume, D. Proudfoot, L. Willis,
and R. Masiello, Using battery energy storage
to reduce
renewable resource curtailment, IEEE Power
& Energy Society Innovative Smart Grid
Technologies Conference (ISGT), 2017,
https://doi.org/10.1109/isgt.2017.8085955.
[76] Z. Song, S. Feng, L. Zhang, Z. Hu, X. Hu, and
R. Yao, Economy analysis of second-
life battery in wind power systems
considering battery degradation in dynamic
processes: Real case scenarios, Applied
Energy, vol. 251, 2019, 113411,
https://doi.org/10.1016/j.apenergy.2019.11341
1.
[77] M. Amini, M. H. Nazari, and S. H.
Hosseinian, Optimal energy management of
battery with high wind energy penetration: A
comprehensive linear battery degradation cost
model, Sustainable Cities and Society, 2023,
93, 104492,
https://doi.org/10.1016/j.scs.2023.104492.
[78] [78] S. Rajamand, M. Shafie-khah, and J. P.
S. Catalão, Energy storage systems
implementation and photovoltaic output
prediction for cost minimization of a
Microgrid, Electric Power Systems Research,
2022, 202, 107596,
https://doi.org/10.1016/j.epsr.2021.107596
[79] [79] B. Li, H. Wang, and Z. Tan, Capacity
optimization of hybrid energy storage system
for flexible islanded microgrid based on real-
time price-based demand response,
International Journal of Electrical Power &
Energy Systems, 2022, 136, 107581,
https://doi.org/10.1016/j.ijepes.2021.107581.
[80] W. Lee, M. Chae, and D. Won, Optimal
scheduling of energy storage system
considering life-cycle degradation cost using
reinforcement learning, Energies, 2022, 15,
2795, https://doi.org/10.3390/en15082795.
[81] H. Jung, An optimal charging and discharging
scheduling algorithm of energy storage
system to save electricity pricing using
reinforcement learning in urban railway
system, Journal of Electrical Engineering &
Technology, 2022, 17:727–735,
https://doi.org/10.1007/s42835-021-00881-8.
WSEAS TRANSACTIONS on POWER SYSTEMS
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Volume 19, 2024
[82] P. Wongdet, T. Boonraksa, P. Boonraksa, W.
Pinthurat, B. Marungsri, B. Hredzak, Optimal
Capacity and Cost Analysis of Battery Energy
Storage System in Standalone Microgrid
Considering Battery Lifetime, Batteries, 2023,
9, 76,
https://doi.org/10.3390/batteries9020076.
[83] M. Rawa, Y. Al-Turki, K. Sedraoui, S.
Dadfar, and M. Khaki, Optimal operation and
stochastic scheduling of renewable energy of
a microgrid with optimal sizing of battery
energy storage considering cost reduction,
Journal of Energy Storage, 2023, 59, 106475,
https://doi.org/10.1016/j.est.2022.106475.
[84] A Merabet, A Al-Durra, and EF El-Saadany,
Energy management system for optimal cost
and storage utilization of renewable hybrid
energy microgrid, Energy Conversion and
Management, 2022, 252, 115116,
https://doi.org/10.1016/j.enconman.2021.1151
16.
[85] J. Lee, and Y. Kim, Novel battery degradation
cost formulation for optimal scheduling of
battery energy storage systems, Electrical
Power and Energy Systems, 2022, 137,
107795,
https://doi.org/10.1016/j.ijepes.2021.107795.
[86] A. Chakraborty, and S. Ray, Operational cost
minimization of a microgrid with optimum
battery energy storage system and plug-in-
hybrid electric vehicle charging impact using
slime mould algorithm, Energy, 2023, 278,
127842,
https://doi.org/10.1016/j.energy.2023.127842.
[87] Y. Zheng, Z. Shao, X. Lei, Y. Shi, and L. Jian,
The economic analysis of electric vehicle
aggregators participating in energy and
regulation markets considering battery
degradation, Journal of Energy Storage, 2022,
45, 103770,
https://doi.org/10.1016/j.est.2021.103770.
[88] V. Sharma, M. H. Haque, S. M. Aziz, and T.
Kauschke, Smart inverter and battery storage
controls to reduce financial loss due to
overvoltage-induced PV curtailment in
distribution feeders, Sustainable Energy,
Grids and Networks, vol. 34, 2023, 101030,
https://doi.org/10.1016/j.segan.2023.101030.
[89] R. Dufo-López, J. L. Bernal-Agustín, J. M.
Yusta-Loyo, J. A. Domínguez-Navarro, I.
J. Ramírez-Rosado, J. Lujano, and I. Aso,
Multi-objective optimization minimizing
cost and life cycle emissions of stand-alone
PV–wind–diesel systems with
batteries storage, Applied Energy, vol. 88,
Issue 11, 2011, pp. 4033-4041,
https://doi.org/10.1016/j.apenergy.2011.04.01
9.
[90] T. Terlouw, T. AlSkaif, C. Bauer, and W. V.
Sark, Multi-objective optimization of energy
arbitrage in community energy storage
systems using different battery technologies,
Applied Energy, vol. 239, 2019, pp. 356-372,
https://doi.org/10.1016/j.apenergy.2019.01.22
7.
[91] H. Chaoui, C. C. Ibe-Ekeocha, and H.
Gualous, Aging prediction and state of charge
estimation of a LiFePO4 battery using input
time-delayed neural networks, Electric Power
Systems Research, vol. 146, 2017, pp. 189-
197,
https://doi.org/10.1016/j.epsr.2017.01.032.
[92] S. Phommixay, M. L. Doumbia, and Q. Cui,
A two-stage two-layer optimization approach
for economic operation of a microgrid under a
planned outage, Sustainable Cities and
Society, vol. 66, 2021, 102675,
https://doi.org/10.1016/j.scs.2020.102675.
[93] S. Chapaloglou, A. Nesiadis, P. Iliadis, K.
Atsonios, N. Nikolopoulos, P. Grammelis, C.
Y. Kopoulos, I. Antoniadis, and E. Kakaras,
Smart energy management algorithm for load
smoothing and peak shaving based on load
forecasting of an island's power system,
Applied Energy, vol. 238, 2019, pp. 627-642,
https://doi.org/10.1016/j.apenergy.2019.01.10
2.
[94] M. Amir, R. G. Deshmukh, H. M. Khalid, Z.
Said, A. Raza, S. M. Muyeen, A. Nizami, R.
M. Elavarasan, R. Saidur, and K. Sopian,
Energy storage technologies: An integrated
survey of developments, global
economical/environmental effects, optimal
scheduling model, and sustainable adaption
policies, Journal of Energy Storage, 2023, 72,
108694,
https://doi.org/10.1016/j.est.2023.108694.
[95] A. Naderipour, A. R. Ramtin, A.
Abdullah, M. H. Marzbali, S. A. Nowdeh, and
H. Kamyab, Hybrid energy system
optimization with battery storage for remote
area application considering loss of energy
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.17
A. K. Onaolapo, B. T. Abe
E-ISSN: 2224-350X
167
Volume 19, 2024
probability and economic analysis, Energy,
2022, 239, 122303,
https://doi.org/10.1016/j.energy.2021.122303.
[96] A. Naderipour, H. Kamyab, J. J. Klemes, R.
Ebrahimi, S. Chelliapan, S. A. Nowdeh, A.
Abdullah, and M. H. Marzbali, Optimal
design of hybrid grid-connected
photovoltaic/wind/battery sustainable energy
system improving reliability, cost and
emission, Energy, 2022, 257, 124679,
https://doi.org/10.1016/j.energy.2022.124679.
[97] N. Rangel, H. Li, and P. Aristidou, An
optimisation tool for minimising fuel
consumption, costs and emissions from
Diesel-PV-Battery hybrid microgrids, Applied
Energy, 2023, 335, 120748,
https://doi.org/10.1016/j.apenergy.2023.12074
8.
[98] W. Zhan, Z. Wang, L. Zhang, P. Liu, D. Cui,
and D. G. Dorrell, A review of siting, sizing,
optimal scheduling, and cost-benefit analysis
for battery swapping stations, Energy, 2022,
258, 124723,
https://doi.org/10.1016/j.energy.2022.124723.
[99] M. P. Bonkile, and V. Ramadesigan, Effects
of sizing on battery life and generation cost in
PV–wind battery hybrid systems, Journal of
Cleaner Production, 2022, 340, 130341,
https://doi.org/10.1016/j.jclepro.2021.130341.
[100] H. E. Toosi, A. Merabet, and A. Swingler,
Impact of battery degradation on energy cost
and carbon footprint of smart homes, Electric
Power Systems Research, 2022, 209, 107955,
https://doi.org/10.1016/j.epsr.2022.107955.
[101] Y. Sun, Z. Xu, X. Xu, Y. Nie, J. Tu, A. Zhou,
J. Zhang, L. Qiu, F. Chen, J. Xie, T. Zhu, and
X. Zhao, Low-cost and long-life Zn/Prussian
blue battery using a water-in-ethanol
electrolyte with a normal salt concentration,
Energy Storage Materials, 2022, 48, 192–204,
https://doi.org/10.1016/j.ensm.2022.03.023.
[102] X. Kong, H. Wang, N. Li, and H. Mu, Multi-
objective optimal allocation and performance
evaluation for energy storage in energy
systems, Energy, 2022, 253, 124061,
https://doi.org/10.1016/j.energy.2022.124061.
[103] C. Yang, Running battery electric vehicles
with extended range: Coupling cost and
energy analysis, Applied Energy, 2022, 306,
118116,
https://doi.org/10.1016/j.apenergy.2021.11811
6.
[104] X. Han, J. Garrison, and G. Hug, Techno-
economic analysis of PV-battery systems in
Switzerland, Renewable and Sustainable
Energy Reviews, 2022, 158, 112028,
https://doi.org/10.1016/j.rser.2021.112028.
[105] A. O. Aluko, R. Pillay Carpanen, D. G.
Dorrell, and E. E. Ojo, Heuristic optimization
of virtual inertia control in grid-connected
wind energy conversion systems for
frequency support in a restructured
environment, Energies, 2020, 13 (3), 564,
https://doi.org/10.3390/en13030564.
[106] Z. Tian, Backtracking search optimization
algorithm-based least square support vector
machine and its applications, Engineering
Applications of Artificial Intelligence, vol. 94,
2020, 103801,
https://doi.org/10.1016/j.engappai.2020.10380
1.
[107] M. S. H Lipu, M. A. Hannan, A. Hussain, M.
H. M. Saad, A. Ayob, and F. Blaabjerg, State
of charge estimation for lithium-ion battery
using recurrent NARX neural network model-
based lighting search algorithm, IEEE
Access, 2018, vol. 6, pp. 28150-28161,
https://doi.org/10.1109/access.2018.2837156.
[108] H. U. R. Habib, U. Subramaniam, A. Waqar,
B. S. Farhan, K. M. Kotb, and S. Wang,
Energy cost optimization of hybrid
renewables based V2G microgrid considering
multi objective function by using artificial bee
colony optimization, IEEE Access, 2020, vol.
8, pp. 62076-62093,
https://doi.org/10.1109/access.2020.2984537.
[109] Y. Li, S. Q. Mohammed, G. S. Nariman, N.
Aljojo, A. Rezvani, and S. Dadfar, Energy
management of microgrid considering
renewable energy sources and electric
vehicles using the backtracking
search optimization algorithm, Journal of
Energy Resources Technology, Transactions
of the ASME, 2020, vol. 142, pp. 052103-1 -
052103-8, https://doi.org/10.1115/1.4046098.
[110] M. GhadiSahebi, R. Ebrahimi, and V. Parvin-
darabad, Optimal probabilistic operation
management of smart parking lot and
renewable sources in microgrid to reduce cost
and improve system reliability considering
demand response program, International
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2024.19.17
A. K. Onaolapo, B. T. Abe
E-ISSN: 2224-350X
168
Volume 19, 2024
Transactions on Electrical Energy Systems,
2021, vol. 31, Issue 12, pp. e13108,
https://doi.org/10.1002/2050-7038.13108.
APPENDIX
Table 1. Specific research on BEMS for technical
goals
Ref
Techniques
Goals
ESSs
RESs
[47]
Battery and
Supercapacitor
Control Systems
Minimizing
the
fluctuations of
RESs
BESS,
Supercapacitor
Wind
Turbine
(WT), PV
[48]
BESS
Optimization and
scheduling
controller
Minimizing
carbon
emission
problems
BESS
Microgrids
[49]
Building
optimization model
Power balance
Lead-acid
batteries, flow
batteries, and hot
water tank
PV
[50]
Particle swarm
optimization (PSO),
Peak shaving
BESS
PV
[51]
Degradation costs
and constraints
Battery
degradation
control
BESS
Generic
[52]
Primal-dual
optimization
Power
Scheduling
community energy
storage
(CES)
Generic
[53]
Monte Carlo
simulation (MCS)
Power
Scheduling
BESS
Electric
vehicle
(EV)
[54]
Scheduling
procedure and
control algorithm
Peak load
shaving and
load
leveling
Generic
Generic
[55]
Mixed-integer linear
programming
(MILP)
Energy
Stability and
network
energy loss
reduction
Generic
WT,
EVs, PV
[56]
Lexicographic
and
robust ordering
optimization
Power
Scheduling
Generic
WT, PV
EV
[57]
modified IEEE 123
bus system
simulation
Day-ahead
scheduling
BESSs
WTs, PVs,
[58]
Mixed integer
quadratically
constrained
programming
(MIQCP)
Shift some
loads from
high-price to
low-price
Periods (load
scheduling)
Generic
WT, PV
[59]
CPLEX in general
algebraic modeling
system (GAMS)
Power
Scheduling
Virtual energy
storage systems
(VESS), thermal
energy storage
(TES), hydrogen
storage systems
(HSS)
EVs
Table 2. Specific research on BEMS for economic
goals
Ref
Techniques
Goals
ESSs
RESs
[77]
MILP, model
predictive control
(MPC)
Modeling of
degradation cost for
battery’s optimal
scheduling.
BESS
Generic
[78]
Quantile nearest
neighbor (QNN),
Artificial neural
networks (ANN),
genetic algorithm (GA)
Reducing
microgrid’s total cost
by
Improving the
system’s
power/voltage profile
Generic
PV
[79]
Non-dominated sorting
genetic algorithm II
(NSGA-II)
Minimization of
operating cost
HESS
WT, PV
[80]
Reinforcement
learning.
Minimizing ESS’s
life-cycle cost
Generic
Generic
[81]
Reinforcement
learning
Reducing the cost of
energy of a railway
system
Generic
Generic
[82]
PSO
Reducing BESS
operating costs
BESS
WT, PV
[83]
Converged barnacles
mating optimizer
(CBMO),
Cost reduction of
microgrid’s operation
Generic
PV
[84]
Load shifting
mechanism
Reducing the energy
cost of microgrid
BESS
WT, PV
[85]
Deterministic
optimization,
Rainflow-counting
algorithm.
Minimizing battery
degradation cost
BESS
Generic
[86]
Slime mold algorithm
(SMA)
Minimizing
microgrid’s operation
costs
BESS
Plug-in
hybrid
electric
vehicles
(PHEV)
[87]
Generalized reduced
gradient (GRG)
Investigating the
economic feasibility
of EVs for vehicle-
to-grid (V2G)
services.
BESS
EV
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Volume 19, 2024
Table 3. Specific research on BEMS for hybrid goals
Ref
Techniques
Goals
ESSs
RESs
[94]
Comprehensive
review
Optimal scheduling,
improving
environmental effects,
reducing costs
Generic
Generic
[95]
Improved
grasshopper
optimization
algorithm (IGOA)
Minimizing the total net
present
cost (TNPC) and the loss
of energy
BESS
WT,
PV
[96]
artificial electric
field algorithm
(AEFA)
Minimizing the cost of
system lifespan, designing
an optimal framework for
microgrid
BESS
WT,
PV
[97]
Cost optimisation
Minimizing
MGs
environmental impact.
and operating costs
BESS
PV
[98]
Comprehensive
review
extending battery life,
regulating grid load, and
reducing energy refueling
duration
BESS
EV
[99]
pseudo-two-
dimensional (P2D)
Investigating size
variation on BESS
degradation and energy
generation costs
BESS
WT,
PV
[100]
MILP
Investigating the effects of
battery degradation on
carbon emission and cost
of energy
BESS
EV, PV
[101]
water/ethanol
hybrid (WEH)
electrolyte
High safety,
high power density,
environmental
friendliness, and
low cost
BESS
Generic
[102]
Multi-objective
optimization
Environmental, economic,
and technical assessments
Generic
WT,
PV
[103]
Principles of
materials
breakdown and cell
fabrication
Boosting the energy
density of the battery pack
and reducing the
production cost of an
electric vehicle
BESS
EV
[104]
Generic
optimization
Investigating the impacts
of tariffs, electricity
prices, load profiles, and
costs
BESS
PV
Contribution of Individual Authors to the
Creation of a Scientific Article (Ghostwriting
Policy)
The authors equally contributed in the present
research, at all stages from the formulation of the
problem to the final findings and solution.
Sources of Funding for Research Presented in a
Scientific Article or Scientific Article Itself
This work was supported by the Tshwane University
of Technology PDF Research Funding.
Conflict of Interest
The authors have no conflict of interest to declare.
Creative Commons Attribution License 4.0
(Attribution 4.0 International, CC BY 4.0)
This article is published under the terms of the
Creative Commons Attribution License 4.0
https://creativecommons.org/licenses/by/4.0/deed.en_
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