A fast Broyden's approximation‐based weighted least square state estimation for power systems. (2nd November 2020)

• Record Type: Journal Article
• Authors: Shanmugapriya, Subramaniyan; Maharajan, Duraisamy
• Is Part Of: International journal of numerical modelling. Volume 34:Number 2(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-11-02
• Subjects: Broyden's method -- PMU measurements -- state estimation -- weighted least absolute value estimation -- weighted least square estimation; Electric networks -- Mathematical models -- Periodicals; Electronics -- Mathematical models -- Periodicals; 621.3011
• DOI: 10.1002/jnm.2831
• Languages: English
• ISSNs: 0894-3370

Abstract

Abstract: State estimation (SE) serves as the heart of the energy management systems in providing online database by processing slow‐sampled supervisory control and data acquisition (SCADA) measurements. The recent development of fast sampled phasor measurement units (PMUs) provides real‐time measurements that enable tracking of the system state; however, the associated high initial cost does not allow to completely replace the existing SCADA measurements by PMUs. This article thus attempts to employ both the SCADA and PMU measurements, and suggests a new SE scheme comprising of a static SE module (SSEM) that estimates system state at defined time interval in the order of minutes using both the SCADA and PMU measurements, and a fast state reconstructing module for tracking the system state using PMU measurements and the calculated pseudo measurements in place of SCADA measurements. The proposed scheme employs Broyden's approach that avoids repeated formation and factorization of the Jacobian and gain matrices, respectively while iteratively solving the nonlinear simultaneous equations. It exhibits superior computational efficiency of the suggested scheme by presenting simulation results of four standard test systems.