WSEAS Transactions on Power Systems
Print ISSN: 1790-5060, E-ISSN: 2224-350X
Volume 20, 2025
Power Flow and State Estimation using Newton Algorithm andWeighted
Least Squares Method
Authors: ,
Search Articles
Abstract: Power flow and state estimation are fundamental processes in the operation and planning of power
systems. This paper presents a brief review, implementation, and evaluation of these techniques on a benchmark
IEEE three-generator, six-bus network. TheNewton-Raphson method is employed to solve the nonlinearAC power
flow equations, with results validated against industrial software (PSSE). Additionally, weighted least squares
algorithms were implemented for both DC and AC models. While the DC estimator achieved an acceptable
residual of 5.57 MW in active power estimation, it still exhibited measurable accuracy loss on high-R/X or
voltage-deviation branches, with line-flow mean absolute percentage errors increasing by ∼1–3% and bus angle
deviations reaching up to 19° relative to AC estimator results. Ultimately, an overview of how classical estimation
and analysis techniques can be practically applied and evaluated for both industrial and benchmarking purposes
in power systems engineering are presented and discussed in detail.
Keywords:
AC power systems, DC state estimator, Newton-Raphson method, power flow analysis, state estimation, weighted least squares
Pages: 278-288
DOI: 10.37394/232016.2025.20.21