Reducing the Fluctuations Effect of the DC Supply on the Three Phase
Inverter using Intelligent Inverter Control
MOHAMMAD A OBEIDAT1,2, OSAMA ALSMEERAT3, AYMAN M MANSOUR4,
JALAL ABDALLAH2
1Department of Electrical Engineering, College of Engineering, Al-Ahliyya Amman University,
JORDAN
2Department of Electrical Power and Mechatronics Engineering, College of Engineering,
Tafila Technical University, JORDAN
3Arab Potash Company (APC), Tafila, JORDAN
4Department of Computer and Communications Engineering, College of Engineering,
Tafila Technical University, Tafila, JORDAN
Abstract: - In this paper, an Intelligent inverter control is used to reduce the noise, disturbances, and sudden
jumps in DC bus voltage of the grid supplies a three-phase inverter. The system is modelled using
Matlab/Simulink 2020. Many reasons cause fluctuations in a DC supply such as loose, corroded connections, or
unregulated supply. The paper proposes a solution for fluctuations in DC supply of three phase voltage source
inverter using two degree of freedom controllers Feeback (FB) and Feedforward (FF). The results show that FB
only can't solve the disturbances and sudden jumps of the DC voltage. Using both controllers FB and FF solve
this problem and the performance such as overshoot, rise time, peak time, and settling time parameters are
improved under different load conditions for ±15% fluctuation in DC supply
Key-Words:- Intelligent Controller, Fluctuations, Three-phase inverter, Feedback Controller,
Feedforward controller.
Received: May 25, 2021. Revised: May 24, 2022. Accepted: June 22, 2022. Published: July 20, 2022.
1 Introduction
Three-phase inverters are very important to drive
AC machines such as: induction and synchronous
machines. Reducing disturbances and improving
input tracking under sudden grid input change are
needed to enhance AC machine drive system.
Feedback controller can be used to improve input
tracking, but it can’t solve disturbance and system
noise problem coming from sudden change in the
DC grid input. Using both feedforward and
feedback controllers enhance the AC drive system
and decrease the effect of grid input fluctuation and
noise.
In [1], the authors presented a multi-path
feedforward controller designed in the discrete-time
domain for a three-phase inverter with a step-up
transformer. The authors tested their model under
resistive inductive and nonlinear loads. The findings
indicate that the proposed model enhances the
steady-state and dynamic behavior of the system.
the technique suggested based on the assumption
that it would reduce system impedance to avoid
voltage drop.
A detailed description of a simple feedforward
approach to stabilize the three-phase voltage source
inverter system is introduced in [2], which fed
squirrel cage induction motor with LC filter by
subtracting the feedforward term from d-q current
component overcome the resonant that produce
between the LC filter and rotor –flux-oriented
Control. The result shows that the stability analysis
of the drive with Feedforward validates at different
set points, and the overall system became more
efficient.
The effectiveness of the implementation of
voltage feedforward on-grid tide inverter has
adversely affected the voltage feedforward in the
weak grid as described in [3]. The author proposed
proportional voltage feedforward to improve system
stability and power quality also eliminate the
harmonics in the grid by adding proportional
coefficient 'k' in the feedforward path as shown in
fig.3; the Theories and actual findings confirm the
efficacy of the system.
In [4], the author described a low-pass filter
design that could be Embedded in the voltage
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
Ayman M Mansour, Jalal Abdallah
E-ISSN: 2224-350X
224
Volume 17, 2022
feedforward circuit to generate improvements that
help the grid's capability, effectively solving high-
frequency current harmonics when The LCL filter
exists in a weak grid linked with an inverter. these
harmonics caused malformation in system current,
experimental and theoretical interpretation of
outcomes confirmed by the modeling and results
obtained.
The classical negative feedback system is
applying for the newer positive feedforward
Control. A voltage control analysis of the system's
interactions between subsystems has been
performing. Without any significant physical
change, the author raising the step margin in multi-
converter applications by utilizing low-bandwidth
connections. It seems that in low-frequency, both
control feedforward and feedback have the same
behavior, but at high frequency, feedforward
became an active filter that raises system input
stability as in [5].
The Control and stabilizing systems for both
VSC and CSC have been discussed elaborately. The
transient response and the best steady-state
performance have been improving by proper
damping of LC resonance as in [6], it can be done
using a control signal-shaping approach
combination with virtual harmonic damper, the LC
resonance adequately is demoralized because it
considers the variations in grid voltage, which is
especially important in a grid-interfacing converter
system.
The grid current harmonics issue could be
solved using the feedforward approach under the d-
q rotating frame, these harmonics caused by the
distortion from grid voltage in the grid tide inverter
(voltage source inverter) with LCCL filter. Both
simulations and experiments have substantiated the
efficacy of this approach. This novel approach
which presented in [7] does not require additional
sensors, where the author takes an experimental case
in a grid-connected solar cell (100kw) inverter with
a high-speed controller DSP.
The author compares discrete and continuous as
a control reference in grid-connected inverter with
LCL filter [8], where the voltage feedforward
mainly uses the continuous controller. The
continuous approach cannot be applied to discrete
controllers because it relies on grid voltage as a
feedforward control strategy. Hence, the author
suggests the full grid-voltage feedforward that
conceivably uses in the discrete state-space
controller. The discrete Control bandwidth is higher
with state-space controllers, and state-space
technology inverter control offers exceptional
stability for widely deployed LCL-type grid-
connected inverters.
The author described Negative PLL behavior that
may cause whenever a three-phase voltage source
connects to a low grid impedance system. The
negative consequences of PLL can partially reduce
with a novel q-axis feedforward voltage control
technique is proposed. In [9] A vital advantage of
this approach is that it incorporates these features: It
does not affect the steady-state operation of the
voltage source inverter as a result, simple, PLL not
be changed, the dynamic response of the PLL is
reserved, after successful implementation of a three-
phase (VSI) control in the system, the results
confirm the method used.
In [10] the paper presented a generalized state-
space averaging method to formalization the three-
phase voltage source inverter that considers the
dead-time effect of this method. It is in agreement
with simulated and actual devices which Using the
conventional method of state-averaging, More
critical it provides a powerful means for closed-loop
Control. The accuracy and effectiveness of this
model validate through actual and functional models
used in simulation and experiment, respectively,
furthermore is potentially used in parallel inverter
connections and circumference computation.
As in [11] authors presented a new model of
voltage source inverters, which considers the dead
time and modulation effects by a modified small-
signal model. The analysis was performing with a
comparison with a 2kw prototype experiment and
with a full-scale model.
The combinations between the feedback and
feedforward controller in Three-Phase Voltage
Source Inverter connected with a DC voltage source
to stabilize the system and obtain exceptional
performance as in [12]. The system has been
subjected to in detail to analyze and determine its
overall stability, where the system has an
interlinkage problem between the VSI and DC
voltage source cause limited Thévenin impedance.
In [13] the authors provide a detailed review of
stability in DC Distribution Systems, thoroughly
summarizes all the criteria employed in the design
of DC systems in the field; for perfect DC power
systems, performance and stability are needs. so the
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
Ayman M Mansour, Jalal Abdallah
E-ISSN: 2224-350X
225
Volume 17, 2022
author suggests the Passivity-Based Stability
Criterion (PBSC) by passivity dominant on the DC
bus, where The Performance and stability ensure
with a passivity criterion, where the simulation has
been using to clarify this theory; in the end, the
paper offers a summary of the research on these
various stability studies.
[14] presented that, the grid voltage feedforward
positively impacts grid voltage; the inverter
impedance derives from an accurate small-signal
model that approximates the target impedances in
the d-q domain, the instabilities created by
interaction between the model can employ to predict
the effects of instability.
A detailed description for simulating a three-
phase voltage source with dSPACE 1104 control
circuitry will allow future use of dSPACE
Controller in photovoltaic projects is introduced in
[15]. There is a substantial improvement in the
inverter voltage output. As stated in this paper, this
controller can be built using the dSPACE board as a
design tool. The model provides a 2.83% total
harmonic distortion value rather than approximately
37%; the simulation test demonstrates that the
hardware implementation corresponds to the
simulation model.
An entire feedforward approach to eliminate
grid harmonics caused by the grid voltages in grid-
connected inverter with LCL filter is presented in
[16]. The author proposed a scheme able to control
three reference frames (stationary, synchronous,
decupled synchronous) rather than the proportional
feedforward. the Transient response to changing
further limits by feedforward signal amplitude; the
results obtained show that the suggested
feedforward schemas are effective.
[17] presented the outstanding result for The
suggested feedforward control voltage has
experimentally shown to obtain steady-state and
dynamic responses. because transformer impedance
affects voltage fineness, the author proposition
feedforward approach on the output current To
cancel the impact of voltage drop and reposition the
transformer after the filter(LC) to obtain the
compact size.
The author proposed in [18] a control technique
for a three-phase grid-connected inverter in a PV
system. Using the feedforward decoupling method,
the mathematical model built, and the case applied
to a 5KW solar cell system that This control strategy
is effective and efficient through experimentation. It
has been shown that the system is stable and
dynamic.
Disturbance rejection for DC-DC converters
such as buck, boost, and buck/boost converters is
proposed in [19-21]. The authors used feedback and
feedforward controllers to improve input tracking
and reducing disturbance impact due to sudden
jumps of DC input grid.
In this paper a three-phase voltage source
inverter is developed and modeled using
Matlab/Simulink, then a feedback controller is
applied to control the fluctuation of dc input voltage
that appears in the bus of the grid. The experiments
show that feedback controller only cannot solve the
disturbance problem properly, after that, a new
feedforward controller with feedback can be applied
to eliminate the disturbance and track the dc voltage
source without affecting the overall system.
Adding Feedforward controller with feedback
controller improve the system tracking and reduce
the disturbance at the input of the three-phase
inverter under different loads. This methodology is
different from other research studies in that, it
solved the problem of disturbance in the dc bus
voltage for two periods of disturbance input signal,
i.e. for first positive edge, first negative edge, and
second positive edge for different loads. Using
control strategies have the benefits of decreasing the
number of power electronics devices and switches
which can be used to solve such problem.
2 Intelligent Inverter Control
Architecture and Design
The three-phase full-bridge voltage source inverter
is shown in Figure 1.
Fig. 1: Three-phase Full –Bridge Inverter
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
Ayman M Mansour, Jalal Abdallah
E-ISSN: 2224-350X
226
Volume 17, 2022
Figure 2 illustrates the overall MATLAB/Simulink system.
Fig. 2: Overall MATLAB/Simulink system
The output of three phase inverter is shown in
Figure 3.
Fig. 3: Fundamental waveforms.
In this control system, the set point voltage
(V_SP) was the only reference to generate the
required pulses and the voltage waveform.
After that step, the controller using the tuned
internal parameters starts to produce a modulation
index (Mi) signal (0.2 - 1) to estimate the peak
values of the reference sinusoidal waves. A limiter
uses to make sure that the controller output is
within the required boundary. Moreover, the pulse
generator sensed the features of the three-phase
reference waveforms and provided an appropriate
six pulses to the inverter switching devices.
For this type of Control, the disturbance of the DC
link was not taken into consideration and the
controller performance depending on the output
voltage only.
Fig. 4: Feedback control for pulse generation.
The control system shown in Figure 4, set point
voltage (V_SP) and DC link voltage were
considered as reference signals to generate the
required pulses and, in doing so, the voltage
waveform. There are two differential points and
two control loops for set point and DC link voltage.
The first differential compared the set point with
the produced output voltage, and the error will be
estimated. Simultaneously, the second differential
provides another error signal based on the
disturbance of the DC input. After that step, the
combined signal of both controllers uses to produce
a modulation index (Mi) signal (0.2 - 1) to estimate
the peak values of the reference sinusoidal waves.
A limiter uses to make sure that the controller
WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
Ayman M Mansour, Jalal Abdallah
E-ISSN: 2224-350X
227
Volume 17, 2022
output is within the required boundary. Moreover,
the pulse generator sensed the features of the three-
phase reference waveforms and provided an
appropriate six pulses to the inverter switching
devices.
3 Simulation Results and Discussion
This section introduces and explained the achieved
results of the feedback and feedforward/feedback
controller’s responses under DC link voltage
disturbances and load conditions. The response of
three cases: first positive edge, first negative edge,
and second positive edge, for both feedback and
feedforward controllers are obtained. The results
obtained from Matlab/Simulink is stated below on
the figures and tables that have to compare the No-
load case with a full-load case with DC link voltage
disturbance, this compression made by three cases
each case have DC link disturbance signal at 15%
the anlayzed data contains the main properties of
the figures [ Rise time, Settling time, Settling Min,
Settling Max, Over shoot, Under shoot, Peak ,Peak
time], Figure 5 illustrate the shape of DC link
disturbance signal at 15%.
Fig. 5: DC link disturbance signal at 15%.
The following parameters of the overall system
shown in Table 1 will be uses in Matlab/Simulink.
Table 1. Parameters of the overall system used in
Matlab/Simulink.
parameter
values
VDC (set point)
900 v
Motor
4W,400V,50HZ,14
30RPM
RLC Filter (ohms,
Henry, Farad)
R=0.2,L= 10e-3,C=
20e-6.
Inverter (snubber
resistance, ohms)
Rs= 1e7
Inverter (snubber
capacitance, Farad)
Cs=
Inverter(The internal
resistance Ron,
ohms)
RON= 1e-3
In this case, the parameters of VSI system will be
used, then the disturbance in DC link input by +
15% around the set point will be applied.
3.1 Case 1: First Positive Edge
The results obtained from first positive edge
Figures (6 - 9) and Table 2 showed that both
controllers recorded the same readings at the 15%
disturbances with no load condition. Moreover, the
analysis of the first positive edge showed a small
variation in overshoot and settling time with full
load condition.
Fig. 6: Output voltage responses at 15%
disturbance - No load condition.
Fig. 7: Error signals of both controllers at 15%
disturbance - No load condition.
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DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
Ayman M Mansour, Jalal Abdallah
E-ISSN: 2224-350X
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Volume 17, 2022
Table 2. First positive edge analysis with 15%
disturbance
Fig. 8: Modulation indexes of both controllers at
15% disturbance - No load condition.
Fig. 9: Motor speed of both controllers at 15%
disturbance - No load condition
3.2 Case 2: First Negative Edge
In this case, the parameters of VSI system shown in
Table 1 will be used, then the disturbance of DC
link input is -15% around the set point will be
applied.
The first negative edge analysis from Figures (10-
13) and Table 3 proved that load increment has a
positive effect on the rise time and overshoot
values, and at the same time it has a negative effect
on the settling time. It is also noticeable that the
proposed control system (FB+FF) overcame the
increased disturbance and load effect. Moreover, it
produced stable voltage with faster response than
the feedback control system.
Fig. 10: Output voltage responses at 15%
disturbance - No load condition.
Fig. 11: Error signals of both controllers at 15%
disturbance - No load condition.
Fig. 12: Modulation indexes of both controllers at
15% disturbance - No load condition.
Fig. 13: Motor speed of both controllers at 15%
disturbance - No load condition
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Mohammad A Obeidat, Osama Alsmeerat,
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E-ISSN: 2224-350X
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Table 3. First negative edge analysis with 15%
disturbance
3.3 Case 3: Second Positive Edge
In this case, the same parameters of VSI circuit will
be used, then the disturbance in DC link input by
+15% around the set point will be applied. The
second positive edge analysis from Figures (14-17)
and Table 4 showed that load increment has a
positive effect on the rise time and the settling time,
and at the same time it has a negative effect on the
overshoot values.
Fig. 14: Output voltage responses at 15%
disturbance - No load condition.
Fig. 15: Error signals of both controllers at 15%
disturbance - No load condition.
Fig. 16: Modulation indexes of both controllers at
15% disturbance - No load condition.
Fig. 17: Motor speed of both controllers at 15%
disturbance - No load condition
Table 4. Second positive edge analysis with 15%
disturbance
Comparison
Criterion
Full load
measurements
FB
FF+FB
FB
FF+FB
Disturbance
15%
Rise time
2E-5
2E-05
2E-4
3.E-04
Settling
time
0.19
0.2
0.18
0.18
Settling
Min
212.0
218.5
213.
218.
Settling
Max
242.3
220.6
243.7
220.3
Over shoot
22.30
0.52
23.7
0.33
Under
shoot
7.85
1.53
6.25
1.248
Peak
242.3
220.5
243.7
220.4
Peak time
0.046
0.099
0.034
0.086
3.4 Overall System Analysis:
Figure 18 illustrated the output voltage responses of
the studied systems under no load condition. It can
be seen that the disturbance increment produced a
larger overshoot especially at the first positive and
negative edges for feedforward/feedback control
compared to a high overshoot in all edges for the
second control system.
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DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
Ayman M Mansour, Jalal Abdallah
E-ISSN: 2224-350X
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Volume 17, 2022
Fig. 18: overall system Output voltage responses at
15% disturbance - No load condition.
The error signal of both control system under
no load condition were shown in Figure 19. The
relationship between the error overshoot and the
disturbance is proportional and as a result, the need
for more compensation to reduce it to zero. Both
controllers had the ability to do so, but the scored
error of the proposed system was in smaller range
compared to the feedback system.
Fig. 19: Error signals of both controllers at 15%
disturbance - No load condition.
Figure 20 illustrated the modulation index
performance of both systems under no load
condition. It can be observed that the relation
between the DC link voltage and the modulation
index is inverse one. Moreover, the proportional
relationship was observed between the modulation
index and the disturbance. On the other hand, the
proposed approach recorded better index response
compared to the second system.
Fig. 20: Modulation indexes of both controllers at
15% disturbance - No load condition.
Figure 21 showed the motor speed responses
under disturbance variation with no load condition.
It can be seen that the speed oscillation will
increase with higher disturbances. The proposed
system overcame the oscillation issue with better
performance.
Fig. 21: Motor speed of both controllers at 15%
disturbance - No load condition.
It can be seen from achieved results that the
proposed control system has recorded the better
performance in terms of rise time, settling time and
overshoot aspects under disturbance- load variation,
the feedforward with feedback controller achieved
the expected result in which the system outcomes
stabilize and observe good response.
Figure 22 showed the generated output voltage
of both systems in time domain at the second
positive edge. The supremacy of the proposed
system was observed. Figure 23 showed the
generated output current of both systems in time
domain at the second positive edge. The excellence
of the proposed approach was obvious.
Fig. 22: Load voltage at 2nd positive edge with
15% disturbance - No load condition.
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DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
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Fig. 23: Load current at 2nd positive edge with 15%
disturbance - No load condition.
Figure 24 explained the feedforward/feedback
controller behaviour under various conditions (10%
and 15% disturbances at different load conditions).
It can be observed that the controller performed
better responses at full load conditions, in spite of
the disturbance increment. In order to achieve that
in the case of full load condition, the modulation
index was increased as shown in Figure 25.
Fig. 24: Output voltage responses of FF/FB control
with different loading – disturbances.
Fig. 25: Modulation index responses of FF/FB
control with different loading – disturbances.
The speed response of the proposed controller
under full load condition was illustrated in Figure
26, It can be seen that the speed oscillation was
reduced in small time in both loading cases.
Fig. 26: Motor speed responses of FF/FB control
with different loading – disturbances.
4 Conclusion
This paper proposes an optimal feedforward
controller to compensate sudden input voltage
changes fed three-phase voltage source inverter.
The results indicate that, due to the inherently
unstable existence of DC sources such as a
photovoltaic device or a battery, the feedback
controller cannot tolerate input jumps. Monitoring
and noise rejection in the system can be addressed
only by adding both Feedforward and feedback
controllers. Adding feedforward scheme represents
good performance and stabilizes the system,
especially in the first negative edge; also, in the
second positive edge. The overshot and rise time of
the system is enhanced. furthermore, it improves
the accuracy of the fundamental voltage and current
components and the measurement efficiency of
inverter simulations.
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Contribution of Individual Authors to the
Creation of a Scientific Article (Ghostwriting
Policy)
“All authors contributed to the study conception
and design. Material preparation, data collection by
Osama Alsmeert, analysis of the results were
performed Mohammad Obeidat and Ayman
Mansour. The first draft of the manuscript was
written by Osama Asmeerat, then it is reviewed by
Mohammad Obeidat and Ayman Mansour. All
authors commented on previous versions of the
manuscript. All authors read and approved the final
manuscript”.
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.e
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WSEAS TRANSACTIONS on POWER SYSTEMS
DOI: 10.37394/232016.2022.17.23
Mohammad A Obeidat, Osama Alsmeerat,
Ayman M Mansour, Jalal Abdallah
E-ISSN: 2224-350X
233
Volume 17, 2022