Abstract：Conventional optimal reactive power dispatch approaches operate mostly in deterministic form where the power injections are known and fixed.However,in practice,power injections,especially from intermittent renewable sources,and demands are uncertain.Therefore,this paper develops a voltage stability margin constrained stochastic optimal reactive power dispatch (VC-SORPD) method.The chance constrains have been transferred into the deterministic constraints by the stochastic optimal reactive power method based on the point estimation.Then the programming is solved through the genetic algorithm with the improved conjugate gradient operator.Simulation results on several cases demonstrate that the proposed method is able to prevent under and over-compensation and increase the load margin at a cost of a small but acceptable increase of active power losses.
李俊, 邓大上, 房鑫炎, 方斯顿, 文立斌. 考虑电压稳定裕度约束的点估计随机最优无功调度方法[J]. 电工技术学报, 2015, 30(7): 27-33.
Li Jun, Deng Dashang, Fang Xinyan, Fang Sidun, Wen Libin. Stochastic Optimal Reactive Power Dispatch Method Based on Point Estimation Considering Voltage Stability Margins. Transactions of China Electrotechnical Society, 2015, 30(7): 27-33.
[1] Mamandur K R C,Chenoweth R D.Optimal control of reactive power flow for improvements in voltage profiles and for real power loss minimization[J].IEEE Power Engineering Review,1981,PER-1(7):29-30. [2] Alsac O,Bright J,Prais M,et al.Further developments in LP-based optimal power flow[J].IEEE Transactions on Power Systems,1990,5(3):697-711. [3] Momoh J A,Guo S X,Ogbuobiri E C,et al.The quadratic interior point method solving power system optimization problems[J].IEEE Transactions on Power Systems,1994,9(3):1327-1336. [4] 张丽,徐玉琴,王增平,等.包含分布式电源的配电网无功优化[J].电工技术学报,2011,26(3):168-174. Zhang Li,Xu Yuqin,Wang Zengping,et al.Reactive power optimization for distribution system with distributed generators[J].Transactions of China Electrotechnical Society,2011,26(3):168-174. [5] 康忠健,訾淑伟.基于差分进化算法的油田区域配电网无功优化技术的研究[J].电工技术学报,2013,28(6):226-231. Kang Zhongjian,Zi Shuwei.Research on the reactive power optimization of oil-field regional distribution network based on differential evolution[J].Transactions of China Electrotechnical Society,2013,28(6):226-231. [6] 曲绍杰,高玉领,邹林,等.基于FVSI指标的电压稳定约束无功优化[J].电力系统保护与控制,2009,37(10):10-14. Qu Shaojie,Gao Yuling,Zou Lin,et al.Reactive power optimization with voltage stability margin considered based on fast voltage stability index[J].Power System Protection and Control,2009,37(10):10-14. [7] Chattopadhyay D,Chakrabarti B B.Reactive power planning incorporating voltage stability[J].International Journal of Electrical Power & Energy Systems,2002,24(3):185-200. [8] Heidel T,Kassakian J,Schmalensee R.Forward pass:policy challenges and technical opportunities on the U.S.electric grid[J].IEEE Power Energy Magazine,2012,10(3):30-37. [9] Hu Zechun,Wang Xifan,Taylor G.Stochastic optimal reactive power dispatch:formulation and solution method[J].International Journal of Electrical Power & Energy Systems,2010,32(6):615-621. [10]Vlachogiannis J G.Probabilistic constrained load flow considering integration of wind power Generation and electric vehicles[J].IEEE Transactions on Power Systems,2009,24(4):1808-1817. [11]Wang Qianfan,Guan Yongpei,Wang Jianhui.A chance-constrained two-stage stochastic program for unit commitment with uncertain wind power output[J].IEEE Transactions on Power Systems,2012,27(1):206-215. [12]洪芦诚,石立宝,姚良忠,等.计及风电场发电功率不确定性的电力系统模糊潮流[J].电工技术学报,2010,25(8):116-122,130. Hong Lucheng,Shi Libao,Yao Liangzhong,et al.Fuzzy modelling and solution of load flow incorporating uncertainties of wind farm generation[J].Transactions of China Electrotechnical Society,2010,25(8):116-122,130. [13]Lopez J C,Munoz J I,Contreras J,et al.Optimal reactive power dispatch using stochastic chance-constrained programming[C].2012 Sixth IEEE/PES Transmission and Distribution:Latin America Conference and Exposition (T&D-LA),Montevideo,2012:1-7. [14]Hajian M,Glavic M,Rosehart W D.A chance-constrained optimization approach for control of transmission voltages[J].IEEE Transactions on Power Systems,2012,27(3):1568-1576. [15]Hamon C,Perninge M,Soder L.A stochastic optimal power flow problem with stability constraints—part I:approximating the stability boundary[J].IEEE Transactions on Power Systems,2013,28(2):1839-1848. [16]Perninge M,Hamon C.A stochastic optimal power flow problem with stability constraints—part II:the optimization problem[J].IEEE Transactions on Power Systems,2013,28(2):1849-1857. [17]Kataoka Y,Shinoda Y.Voltage stability limit of electric power systems with generator reactive power constraints considered[J].IEEE Transactions on Power Systems,2005,20(2):951-962. [18]Ajjarapu V,Christy C.The continuation power flow:a tool for steady state voltage stability analysis[J].IEEE Transactions on Power Systems,1992,7(1):416-423. [19]Alvarado F,Dobson I,Hu Y.Computation of closest bifurcations in power systems[J].IEEE Transactions on Power Systems,1994,9(2):918-928. [20]Makarov Y V,Dong Zhaoyang,Hill D J.On convexity of power flow feasibility boundary[J].IEEE Transactions on Power Systems,2008,23(2):811-813. [21]Borkowaka B.Probabilistic load flow[J].IEEE Transactions on Power Apparatus and Systems,1974,27(3):752-759. [22]Yu H,Chung C Y,Wong K P,et al.Probabilistic load flow evaluation with hybrid Latin hypercube sampling and cholesky decomposition[J].IEEE Transactions on Power Systems,2009,24(2):661-667. [23]Hu Z C,Wang X F.A probabilistic load flow method considering branch outages[J].IEEE Transactions on Power Systems,2006,21(2):507-514. [24]Zhang Pei,Stephen T L.Probalistic load flow computation using the method of combined Cumlants and Gram-Charlier expansion[J].IEEE Transactions on Power Systems,2004,19(1):676-682. [25]Schellenberg A,Rosehart W,Aguado J.Cumulant-based probabilistic optimal power flow (P-OPF) with Gaussian and gamma distributions[J].IEEE Transactions on Power Systems,2005,20(2):773-781. [26]曹春红,张永坚,李文辉.几何约束求解的新方法——基于共轭梯度法的混合遗传算法[J].仪器仪表学报,2004,25(z3):389-392. Cao Chunhong,Zhang Yongjian,Li Wenhui.A new method for geometric constraint solving——a hybrid genetic algorithm based on conjugate gradient algorithm[J].Chinese Journal of Scientific Instrument,2004,25(z3):389-392. [27]Matpower 4.1.http://www.pserc.cornell.edu/matpower/.
2015, Vol. 30 
