Successive Linear Programming to Improve Small-Signal Stability of Power Systems with Doubly-Fed Induction Generators

Abstract

Optimization to the control parameters of the doubly-fed induction generators (DFIGs) may improve the small-signal stability of the power systems. With multi-step derivatives to the state matrix, sensitivities of the critical modes are analytically derived. Since the eigen-sensitivity cannot be solved simultaneously with the optimization, and the critical models before and after the optimization may be different, the successive linear programing (SLP) is newly applied to solve the eigen-sensitivity and the optimization alternatively. Compared with the single-step optimization, the SLP has less truncation error, and can treat the changes of the critical modes and effective parameters after each step of the optimization. Since the stability constraints may not be satisfied due to the practical control limits, to yield feasible solution, the control effects are included in the objective function instead of as inequality constraints. To optimize multiple critical modes, the weighting factors are defined as relative distance to the stability margin. The numerical analysis shows the impact of the DFIG on small-signal stability of power systems, and validates the effectiveness and the accuracy of the proposed sensitivity-based optimized control.

Keywords:

• wind power system
• doubly-fed induction generator (DFIG)
• small-signal stability
• optimization
• successive linear programing (SLP)

Additional information

Funding

This work is supported by National Natural Science Foundation of China under Grant 51877061.

Notes on contributors

Shenghu Li

Shenghu Li is a Professor with the School of Electrical Engineering and Automation, Hefei University of Technology (HFUT), Hefei, China. He received the B.Sc., M.Sc., and Ph.D. degrees from HFUT in 1995, 2000, and 2003 respectively, all in Electrical Engineering. He joined the Research Center for Photovoltaic System Engineering, Ministry of Education, China, in 2003. He was a postdoctoral researcher at Hiroshima University, Japan, from 2005 to 2007. He is responsible for several projects funded by National Natural Science Foundation (China) and Ministry of Education (China). He has a book published by the Science Press (China), four authorized patents, and about 90 papers published in the international/domestic journals and international conferences. He is the members of the IEEE, the CSEE, and the CES. His research interests include wind power system analysis and control, power system planning and reliability, and flexible AC and DC transmission techniques.

Jiejie Huang

Jiejie Huang received the B.Sc. degree in Electrical Engineering from Hefei University of Technology (HFUT), Hefei, China, in 2015. He is currently pursuing the Ph.D. degree at School of Electrical Engineering and Automation, HFUT. He has several papers published or accepted by the international and domestic journals. His research interest is analysis and control of the wind power systems.

Hao Zhang

Hao Zhang received the B.Sc. degree in Electrical Engineering from Hefei University of Technology (HFUT), Hefei, China, in 2017. He is currently pursuing the Ph.D. degree at School of Electrical Engineering and Automation, HFUT. His research interest is analysis and control of the wind power systems.

Zhuopeng Li

Zhuopeng Li received the B.Sc. degree in Electrical Engineering from Hefei University of Technology (HFUT), Hefei, China, in 2017. He is currently pursuing the M.Sc. degree at School of Electrical Engineering and Automation, HFUT. His research interest is analysis and control of the wind power systems.