Full versus decoupled constant matrices to speed up power system state estimation

Meriem Majdoub (University Hassan II of Casablanca)
Bouchra Cheddadi (University Hassan II of Casablanca)
Omar Sabri (University Hassan II of Casablanca)
Abdelaziz Belfqih (University Hassan II of Casablanca)
Jamal Boukherouaa (University Hassan II of Casablanca)

International Journal of Power Electronics and Drive Systems (IJPEDS)
Vol 11, No 3: September 2020

This paper presents a performance evaluation of two solutions to reduce computational burden of the traditional Weighted Least Squares Algorithm for power system state estimation: Simplified methods SWLS1 / SWLS2 based on full constant matrices and Fast decoupled FDWLS based on decoupled constant matrices. First, the algorithms were tested on IEEE 14 and 118 bus transmission systems. Second, the solutions were tested on a rural distribution feeder to evaluate the response of the algorithms to high R/X ratio. Results show that for transmission systems, FDWLS is the fastest method but more sensitive to erroneous measurements. Simplifications considered in FDWLS, are not valid in distribution systems with high R/X ratio this results in slowing down the algorithm convergence speed considerably compared to SWLS2 which performs well. SWLS2 algorithm presents a promising solution to reduce computation time for application in future smart grid.