2018/06/09 by Izudin Džafić, Dzafic, Izudin, Rabih A. Jabr +3 · 2 citations
Engineering · #FOS: Electrical engineering #Frequency Control in Power Systems #Optimal Power Flow Distribution #Power System Optimization and Stability #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1806.03484
openalex publication_date 2018/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The hybrid power system state estimation problem requires computing the state\nof the power network using data from both legacy and phasor measurements.\nRecent research has shown that the normal equations approach in complex\nvariables is computationally advantageous, particularly in the presence of\nphasor measurement values, and that its software implementation is best suited\nto modern processors that employ single instruction multiple data (SIMD)\nprocessor extensions. The complex normal equations approach is however not\nideal for handling zero injection measurements, as it requires their modeling\nas pseudo-measurements with high weights. This paper employs Wirtinger calculus\nfor extending the complex normal equations approach to include equality\nconstraints, and contrasts it with two previously published implementations:\nthe normal equations approach in complex variables and the hybrid equality\nconstrained state estimator in real variables. Numerical results are reported\non transmission networks having up to 9241 nodes; they show that the complex\nvariable equality constrained hybrid state estimator exhibits superior\nperformance as compared to the above two techniques in terms of both\ncomputational time and accuracy. Moreover, the execution time on the largest\nnetwork is less than 300 ms, which makes the proposed implementation\ncommensurate with the requirements of real-time applications.\n