Modal Estimation of Low-frequency Oscillation Using Perturbation Sensitivity Matrix with Multiple Parameters

Abstract

A method based on multi-parameter second-order perturbation sensitivity is proposed to estimate the low-frequency oscillation modals in a power system, since the changing low-frequency oscillation modal is hard to estimate due to the variety of multiple parameters. First, the multi-parameter second-order perturbation sensitivity matrices of eigenvalues and eigenvectors are deduced, respectively. Second, second-order estimated values based on second-order perturbation sensitivity are deduced. On this basis, the changing oscillation modals under multiple parameters variation are then estimated. The simulation results of 4-generator, 16-generator, and China Southern Grid systems demonstrate that this method is not only able to estimate the oscillation modes but also the modals of the system with more accuracy in the case of multiple parameters of the system that change simultaneously. Then it can adjust an appropriate dispatching method accordingly to improve the damping of the dominant oscillation mode. Also, this method makes the solving process direct and explicit since it avoids the burdensome derivation calculation of second-order sensitivity, and it saves time by avoiding solving complicated high-dimensional state equations.

Keywords:

• low-frequency oscillation
• modal estimation
• perturbation sensitivity matrix
• multiple parameters
• second-order perturbation theory

Additional information

Notes on contributors

Tong Wang

Tong Wang is currently a post-doctoral in the School of Electrical and Electronic Engineering, North China Electric Power University, China. She received her B.S. degree and Ph.D. degree from North China Electric Power University, China, in 2007 and 2013, respectively. She was a visiting researcher scholar in the Bradley Department of Electrical and Computer Engineering, Virginia Polytechnic Institute and State University, USA. Her interests mainly include wide area measurements, and small signal analysis and control.

Zengping Wang

Zengping Wang was born in Hebei, China, on November 3, 1964. He received the B.S. and M.S. degree in Electric Engineering from North China Eletric Power University, China, in 1985 and 1988, respectively. He received the Ph. D. degree from Harbin Institute of Technology, China, in 1997. He is a professor and the vice president of North China Eletric Power University. His special fields of interest include relay protection, accident analysis and system security protection.

Yuan Yang

Yuan Yang was born in Anhui Province in 1986. He received his B.S. and M.S. degree from North China Electric Power University in 2007 and 2010, respectively. He is currently an engineer working in the China Electric China Electric Power Research Institute. His research interests are on-line monitoring technology and the integration of scheduling and control of power system.