基于分布鲁棒优化的含风电系统静态安全校正控制方法
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摘要
提出一种计及风电出力不确定性的电力系统静态安全校正控制方法。考虑与风电预测方法的合理对接,采用风电预测出力的区间及期望值信息描述风电的不确定性。以调整措施耗费的经济成本最小为目标,考虑发电机出力调整和切负荷2种控制措施,建立考虑风电波动的有功安全校正控制模型。基于分布鲁棒线性优化理论,将含有不确定性参数的校正控制模型转化为仅含确定性参数的鲁棒对等模型,并采用线性规划方法进行求解。某区域电网算例结果表明,所提模型得到的校正控制方案能够应对各种可能的风电波动;同时,该模型可实现控制策略经济性与鲁棒性的相互转化,并能给出控制策略鲁棒性程度的概率评价。
A static security corrective control method for power system is proposed with the consideration of wind power uncertainties. In order to rationally connect with wind power forecasting method,the range and mean value of wind power output are used to describe the uncertainties. An active power security corrective control model is established with the consideration of wind power fluctuations,which takes the minimum economic cost of adjustment measure as its objective,and considers two control measures of generator output adjustment and load shedding. On the basis of distributional robust linear optimization theory,the corrective control model with uncertainty parameters is converted to robust peer-to-peer model only with certainty parameters,which is solved by linear programming method. The case results of a regional power grid show that the corrective control scheme obtained by the proposed model can deal with various wind power fluctuations,meanwhile,the model can realize the transition between economy and robustness of control strategy,and give corresponding possibility evaluation of robustness degree for control strategies.
A static security corrective control method for power system is proposed with the consideration of wind power uncertainties. In order to rationally connect with wind power forecasting method,the range and mean value of wind power output are used to describe the uncertainties. An active power security corrective control model is established with the consideration of wind power fluctuations,which takes the minimum economic cost of adjustment measure as its objective,and considers two control measures of generator output adjustment and load shedding. On the basis of distributional robust linear optimization theory,the corrective control model with uncertainty parameters is converted to robust peer-to-peer model only with certainty parameters,which is solved by linear programming method. The case results of a regional power grid show that the corrective control scheme obtained by the proposed model can deal with various wind power fluctuations,meanwhile,the model can realize the transition between economy and robustness of control strategy,and give corresponding possibility evaluation of robustness degree for control strategies.
引文
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[13]于丹文,杨明,翟鹤峰,等.鲁棒优化在电力系统调度决策中的应用研究综述[J].电力系统自动化,2016,40(7):134-143.YU Danwen,YANG Ming,ZHAI Hefeng,et al. An overview of robust optimization used for power system dispatch and decision-making[J]. Automation of Electric Power Systems,2016,40(7):134-143.
[14]DING T,LIU S,YUAN W,et al. A two-stage robust reactive power optimization considering uncertain wind power integration in active distribution networks[J]. IEEE Transactions on Sustainable Energy,2016,7(1):301-311.
[15]臧海祥,余爽,卫志农,等.计及安全约束的虚拟电厂两层优化调度[J].电力自动化设备,2016,36(8):96-102.ZANG Haixiang,YU Shuang,WEI Zhinong,et al. Safety-constrained two-layer optimal dispatch of virtual power plant[J]. Electric Power Automation Equipment,2016,36(8):96-102.
[16]QIN Z,HOU Y,LEI S,et al. Quantification of intra-hour securityconstrained flexibility region[J]. IEEE Transactions on Sustainable Energy,2017,8(2):671-684.
[17]KORAD S,HEDMAN K. Enhancement of do-not-exceed limits with robust corrective topology control[J]. IEEE Transactions on Power Systems,2016,31(3):1889-1899.
[18]KANG S C. Robust linear optimization using distributional information[D]. Boston,USA:Boston University,2008.
[19] OVERBYE T. Power system simulation:understanding small and large system operations[J]. IEEE Power and Energy Magazine,2004,2(1):20-30.
[20]陈雁,文劲宇,程时杰.电网规划中考虑风电场影响的最小切负荷量研究[J].中国电机工程学报,2011,31(34):20-27.CHEN Yan,WEN Jinyu,CHENG Shijie. Minimum load-curtailment in transmission network planning considering integrated wind farms[J]. Proceedings of the CSEE,2011,31(34):20-27.
[2] PIPELZADEH Y,MORENO R,CHAUDHURI B,et al. Corrective control with transient assistive measures:value assessment for great Britain transmission system[J]. IEEE Transactions on Power Systems,2017,32(2):1638-1650.
[3]赵晋泉,江晓东,张伯明.一种基于连续线性规划技术的在线静态安全校正算法[J].电网技术,2005,29(5):25-30.ZHAO Jinquan,CHIANG Hsiaodong,ZHANG Boming. A successive linear programming based on-line static security corrective control approach[J]. Power System Technology,2015,29(5):25-30.
[4]程临燕,郝治国,张保会,等.基于内点法消除输电断面过载的实时控制算法[J].电力系统自动化,2011,35(17):51-55.CHENG Linyan,HAO Zhiguo,ZHANG Baohui,et al. Fast elimination of overload in transmission line section based on simplified primaldual interior point method[J]. Automation of Electric Power Systems,2011,35(17):51-55.
[5]王韶,刘沛铮,董光德,等.基于复杂网络理论计及校正控制的电力系统连锁故障模型[J].电力自动化设备,2016,36(9):162-168.WANG Shao,LIU Peizheng,DONG Guangde,et al. Power system cascading failure model based on complex network theory with consideration of corrective control[J]. Electric Power Automation Equipment,2016,36(9):162-168.
[6]ROALD L,MISRA S,KRAUSE T,et al. Corrective control to handle forecast uncertainty:a chance constrained optimal power flow[J].IEEE Transactions on Power Systems,2017,32(2):1626-1637.
[7]VRAKOPOULOU M,MARGELLOS K,LYGEROS J,et al. A probabilistic framework for reserve scheduling and N-1 security assessment of systems with high wind power penetration[J]. IEEE Transactions on Power Systems,2013,28(4):3885-3896.
[8]周任军,姚龙华,童小娇,等.采用条件风险方法的含风电系统安全经济调度[J].中国电机工程学报,2012,32(1):56-63.ZHOU Renjun,YAO Longhua,TONG Xiaojiao,et al. Security economic dispatch in wind power integrated systems using a conditional risk method[J]. Proceedings of the CSEE,2012,32(1):56-63.
[9]薛志英,周明,李庚银.基于条件风险价值的电力系统短期充裕性决策[J].中国电机工程学报,2014,34(1):96-104.XUE Zhiying,ZHOU Ming,LI Gengyin. Short-term adequacy decision of power systems based on CVaR[J]. Proceedings of the CSEE,2014,34(1):96-104.
[10]江东林,徐向东,刘天琪,等.考虑校正控制的含风电场安全约束优化潮流[J].电网技术,2013,37(1):172-177.JIANG Donglin,XU Xiangdong,LIU Tianqi,et al. Security-constrained optimal power flow of power grid connected with wind farms considering corrective control[J]. Power System Technology,2013,37(1):172-177.
[11]田建芳,毛亚珊,翟桥柱,等.基于风电消纳能力评估的安全约束经济调度方法[J].电网技术,2015,39(9):2398-2403.TIAN Jianfang,MAO Yashan,ZHAI Qiaozhu,et al. Security constrained unit commitment with wind power based on evaluation of wind power penetration capacity[J]. Power System Technology,2015,39(9):2398-2403.
[12]刘斌,刘锋,王程,等.适用于鲁棒调度的风电场出力不确定性集合建模与评估[J].电力系统自动化,2015,39(18):8-14.LIU Bin,LIU Feng,WANG Cheng,et al. Uncertainty set modeling and evaluation of wind farm power output for robust dispatch[J].Automation of Electric Power Systems,2015,39(18):8-14.
[13]于丹文,杨明,翟鹤峰,等.鲁棒优化在电力系统调度决策中的应用研究综述[J].电力系统自动化,2016,40(7):134-143.YU Danwen,YANG Ming,ZHAI Hefeng,et al. An overview of robust optimization used for power system dispatch and decision-making[J]. Automation of Electric Power Systems,2016,40(7):134-143.
[14]DING T,LIU S,YUAN W,et al. A two-stage robust reactive power optimization considering uncertain wind power integration in active distribution networks[J]. IEEE Transactions on Sustainable Energy,2016,7(1):301-311.
[15]臧海祥,余爽,卫志农,等.计及安全约束的虚拟电厂两层优化调度[J].电力自动化设备,2016,36(8):96-102.ZANG Haixiang,YU Shuang,WEI Zhinong,et al. Safety-constrained two-layer optimal dispatch of virtual power plant[J]. Electric Power Automation Equipment,2016,36(8):96-102.
[16]QIN Z,HOU Y,LEI S,et al. Quantification of intra-hour securityconstrained flexibility region[J]. IEEE Transactions on Sustainable Energy,2017,8(2):671-684.
[17]KORAD S,HEDMAN K. Enhancement of do-not-exceed limits with robust corrective topology control[J]. IEEE Transactions on Power Systems,2016,31(3):1889-1899.
[18]KANG S C. Robust linear optimization using distributional information[D]. Boston,USA:Boston University,2008.
[19] OVERBYE T. Power system simulation:understanding small and large system operations[J]. IEEE Power and Energy Magazine,2004,2(1):20-30.
[20]陈雁,文劲宇,程时杰.电网规划中考虑风电场影响的最小切负荷量研究[J].中国电机工程学报,2011,31(34):20-27.CHEN Yan,WEN Jinyu,CHENG Shijie. Minimum load-curtailment in transmission network planning considering integrated wind farms[J]. Proceedings of the CSEE,2011,31(34):20-27.