Applications of Lagrange-Quasi-Newton Method in Power System Steady-State Security Region

Abstract:

With the proportion of the installed capacity of wind farm in the grid increasing, the impact of wind farm on the power system security becomes obvious. The steady-state security analysis is one of the important measures to improve the power system security. Based on DC flow, considering the available transmission capability limit, the paper chooses the biggest security region volume as objective function with the upper and lower limits of security region multi-dimensional cuboid being as control variables, which transforms the maximum steady-state security region into nonlinear programming problem with linear constraints. This not only includes the biggest points for the safe operation, but also the order expansion problem doesn’t exist. Then Lagrange-Quasi-Newton is used to solve the equation, and the analysis of the example proves the feasibility of the proposed model and algorithm. Then we assume that wind speed distribution is weibull distribution, so we can assess the safe operation probability of wind power.

• Periodical: Advanced Materials Research (Volumes 516-517)
• Pages: 1332-1336
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.516-517.1332
• Online since: May 2012
• Authors: Zhong Cheng Li, Bu Han Zhang, Cheng Xiong Mao, Kui Wang
• Keywords: Lagrange-Quasi-Newton, Nonlinear Programming, Steady-State Security Region

References

[1] Li Yu, Zhu Jizhong, Qin Yihong, Xu Duoyu. "N and N-1 Steady-State Security Region Analysis", Proceedings of the CSEE., vol.13, no.3, pp.49-54,1993.(in Chinese).

[2] R.Fischl. "Identification of the Steady-state Security Regions for Power System Security Enhancement", IEEE Winter Power Meeting.,1976.

[3] F.F.Wu. "Steady-State Security Region of Power System", IEEE Trans., vol.29, no.11, pp.703-711,1982.

[4] C.C. Liu. "A New Method for Construction of Maximal Steady-State Regions of Power Systems", IEEE Trans. Power Systems., vol.1, no.4, pp.19-27,1986.

DOI: 10.1109/tpwrs.1986.4335009

[5] Fan Rongquan,Zhu Jizhong, Xu Guoyu."Application of Linear Programming in the Steady-State Real Power Security Region", Journal of Chongqing University., vol.18, no.2, pp.102-08,1995. (in Chinese).

[6] Luo Chunlei, Xu Guoyu, Sun Hongbo. "An Optimal Method of Steady-State Security Regions of Active Power in Electric Power System", Proceedings of the EPSA., vol.6, no.2, pp.39-46,1994. (in Chinese).

[7] Yu Yixin, Feng fei. "Steady-State Security of Electric Power System", China Science., 1990. (in Chinese).

[8] Gui Shenghua, Zhang Qian, Xing Li, Xu Ling. "A Lagrange-Quasi-Newton Method with Slack NCP Function", Journal of Shanghai Second Polytechnic University., vol.22, no.5, pp.21-27,2005. (in Chinese).

[9] Li Yu. "The Analysis of Electric Power System Steady-State Security Regions", Chongqing: Chongqing University,1991. (in Chinese).