Harmonic state estimation based on graph signal processing

Abstract

This paper presents a novel harmonic state estimation (HSE) methodology based on graph signal processing. The proposed approach can perform HSE without calculating harmonic impedance. The proposed methodology involves graph signal theory for constructing a graph Laplacian matrix and an unconstrained optimization function, the adaptive K-means algorithm for building a prior information model of the target bus, as well as data fuzzification and the domain averaging method for state estimation. Simulations are carried out using a 30-bus power distribution system, and results are presented and discussed to prove the efficiency of the proposed method. The practical application further verifies the availability of the proposed method.

Equivalent Impedance Parameter Calculation of Three-phase Symmetrical Loads for Harmonic Source Location

“…Then, derivatives of i αh and i βh can be expressed as: (17) di βh dt = 3hwA h cos ( hwt + θ h ) = hwi αh (18) Based on the above analysis, (9) can be re-written as:…”

“…The harmonic source location methods based on harmonic state estimation can determine the distribution of harmonic voltage and harmonic current of the whole system, allowing it to trace multiple harmonic sources throughout the system [14] - [17]. Therefore, these methods have gradually become the focus of current research.…”