基于混合权重和VIKOR的黑启动方案评估
|
摘要
黑启动作为电力体系安全防御和事故后快速恢复措施之一,对其路径的评估是黑启动辅助决策的一个重要组成部分。本文将一种利用最小叉熵准则集成组合权重的思想运用到黑启动方案评估上。首先利用可变熵模型,在克服了经典熵权法权重分配差别过大、权重无法体现评价矩阵微小变化等问题的基础上,依据各指标客观数据信息的差异得到可变熵权重;接着又尝试性引入决策者效用函数,将原始属性评价矩阵转换为带有决策者主观偏好的判断矩阵,结合Kullback-Leibler距离模型得出带有决策者意愿的偏好权重,再根据最小叉熵准则,对可变熵权重以及偏好权重进行集成,求得指标综合权重。最后利用VIKOR法对方案间关系进行细致分析,得到最优方案。采用天津电网黑启动数据进行了验证,验证结果表明了所提方法的有效性。
Black-start is one of the solutions for power system security and quickly recovery after an accident. Assessment on black-start schemes is an important part of decision making in black-start. In this article, minimum cross-entropy is applied to aggregate the weight for resolving the assessment on black-start schemes. Flexible entropy model is firstly adopted which addresses the issues that differences between weights of indexes are significant, no changes in weights when assessment matrix changes slightly to get the weights according to the difference of objective data information of each index. Utility function of decision makers is also tried to be used to transform the objective value matrix into the judgment matrix, which is based on the subjective preference of decision makers and combines with the Kullback-Leibler distance model to obtain the weights of preference. Then on the basis of minimum cross-entropy, the weights under the flexible entropy model and the other on account of the decision makers' subjective preference are integrated, the combined weights of indexes can be acquired. Finally, relationships between black-start schemes are analyzed by using VIKOR method, and the optimal black-start schemes are selected. Experiments are carried out on the data of black-start path of Tianjin power grid, the results show that the proposed approach is effective.
Black-start is one of the solutions for power system security and quickly recovery after an accident. Assessment on black-start schemes is an important part of decision making in black-start. In this article, minimum cross-entropy is applied to aggregate the weight for resolving the assessment on black-start schemes. Flexible entropy model is firstly adopted which addresses the issues that differences between weights of indexes are significant, no changes in weights when assessment matrix changes slightly to get the weights according to the difference of objective data information of each index. Utility function of decision makers is also tried to be used to transform the objective value matrix into the judgment matrix, which is based on the subjective preference of decision makers and combines with the Kullback-Leibler distance model to obtain the weights of preference. Then on the basis of minimum cross-entropy, the weights under the flexible entropy model and the other on account of the decision makers' subjective preference are integrated, the combined weights of indexes can be acquired. Finally, relationships between black-start schemes are analyzed by using VIKOR method, and the optimal black-start schemes are selected. Experiments are carried out on the data of black-start path of Tianjin power grid, the results show that the proposed approach is effective.
引文
[1] 张东霞,姚良忠,马文媛.中外智能电网发展战略[J].中国电机工程学报,2013,33(31):1-14.
[2] Crudunin N, Roytelman I. Heading off emergencies in large electric grids[J]. IEEE Spectrum, 1997, 34(4): 42- 47.
[3] 印永华,郭建波,赵建军,等.美加“8.14”大停电事故初步分析以及应吸取的教训[J].电网技术,2003,27(10):8-11.
[4] 唐斯庆,张弥,李建设,等.海南电网“9.26”大面积停电事故的分析与总结[J].电力系统自动化,2006,30(1):1-7.
[5] Sun W, Liu C C, Liu S. Black start capability assessment in power system restoration[J]. Proceedings of 2011 IEEE Power and Energy Society General Meeting, 2011, 5(22): 1-7.
[6] 苏德生,顾雪平,赵书强,等.河北南网黑启动决策支持系统的研究开发[J].电力系统自动化,2004,28(12):45-50.
[7] 钟慧荣,顾雪平.基于模糊层次分析法的黑启动方案评估及灵敏度分析[J].电力系统自动化,2010,34(16):34-37,49.
[8] 张志毅,陈允平.基于模糊多属性决策的黑启动方案优选[J].高电压技术,2007,33(3):42- 45,52.
[9] 李如琦,唐林权,凌武能,等.基于前景理论和灰关联分析法的黑启动方案优选[J].电力系统保护与控制,2013,41(5):103-107.
[10] 区伟健,房鑫炎.基于熵值法和主成分分析法的黑启动模式评估[J].电力系统保护与控制,2014,42(8):22-27.
[11] 曾顺奇,林振智,文福拴,等.基于Vague集理论的黑启动决策模型与方法[J].电力系统自动化,2011,35(2):18-22.
[12] 王宏,林振智,文福拴,等.基于区间数的黑启动决策方法[J].电力系统自动化,2013,37(11):26-32.
[13] 高远望,顾雪平,刘艳,等.电力系统黑启动方案的自动生成和评估[J].电力系统自动化,2004,28(13):50-54.
[14] 刘艳,顾雪平,张丹.基于数据包络分析模型的电力系统黑启动方案相对有效性评估[J].中国电机工程学报,2006,26(5):32-37.
[15] 冷亚军,陆青,张俊岭.基于差异性权重和协同过滤的黑启动方案评估[J].电力系统自动化,2015,39(20):78- 83.
[16] 林振智,文福拴,周浩.熵权决策理论及其在黑启动决策中的应用[J].电力系统及其自动化学报,2009,21(6):26-33.
[17] 梁昌勇,吴坚,陆文星,等.一种新的混合型多属性决策方法及在供应商选择中的应用[J].中国管理科学,2006,14(6):71-76.
[18] Xu X. A note on the subjective an objective integrated approach to determine attribute weights[J]. European Journal of Operational Research, 2004, 156(2): 530-532.
[19] 何大义,陈小玲,许加强.多属性群决策问题中基于最小叉熵的权重集成方法[J].控制与决策,2017,32(2):378-384.
[20] 张华一,文福拴,张璨,等.基于前景理论的电网建设项目组合多属性决策方法[J].电力系统自动化,2016,40(14):8-14.
[21] 孟宪鹏,么莉,林济铿.基于关联矩阵法的电网黑启动方案评估[J].电工电能新技术,2007,26(4):65-70.
[22] 高玮,张炳达,林济铿,等.基于Vague方法与PROMETHEE方法相结合的黑启动路径评估[J].中国电力,2016,49(7):65-71.
[2] Crudunin N, Roytelman I. Heading off emergencies in large electric grids[J]. IEEE Spectrum, 1997, 34(4): 42- 47.
[3] 印永华,郭建波,赵建军,等.美加“8.14”大停电事故初步分析以及应吸取的教训[J].电网技术,2003,27(10):8-11.
[4] 唐斯庆,张弥,李建设,等.海南电网“9.26”大面积停电事故的分析与总结[J].电力系统自动化,2006,30(1):1-7.
[5] Sun W, Liu C C, Liu S. Black start capability assessment in power system restoration[J]. Proceedings of 2011 IEEE Power and Energy Society General Meeting, 2011, 5(22): 1-7.
[6] 苏德生,顾雪平,赵书强,等.河北南网黑启动决策支持系统的研究开发[J].电力系统自动化,2004,28(12):45-50.
[7] 钟慧荣,顾雪平.基于模糊层次分析法的黑启动方案评估及灵敏度分析[J].电力系统自动化,2010,34(16):34-37,49.
[8] 张志毅,陈允平.基于模糊多属性决策的黑启动方案优选[J].高电压技术,2007,33(3):42- 45,52.
[9] 李如琦,唐林权,凌武能,等.基于前景理论和灰关联分析法的黑启动方案优选[J].电力系统保护与控制,2013,41(5):103-107.
[10] 区伟健,房鑫炎.基于熵值法和主成分分析法的黑启动模式评估[J].电力系统保护与控制,2014,42(8):22-27.
[11] 曾顺奇,林振智,文福拴,等.基于Vague集理论的黑启动决策模型与方法[J].电力系统自动化,2011,35(2):18-22.
[12] 王宏,林振智,文福拴,等.基于区间数的黑启动决策方法[J].电力系统自动化,2013,37(11):26-32.
[13] 高远望,顾雪平,刘艳,等.电力系统黑启动方案的自动生成和评估[J].电力系统自动化,2004,28(13):50-54.
[14] 刘艳,顾雪平,张丹.基于数据包络分析模型的电力系统黑启动方案相对有效性评估[J].中国电机工程学报,2006,26(5):32-37.
[15] 冷亚军,陆青,张俊岭.基于差异性权重和协同过滤的黑启动方案评估[J].电力系统自动化,2015,39(20):78- 83.
[16] 林振智,文福拴,周浩.熵权决策理论及其在黑启动决策中的应用[J].电力系统及其自动化学报,2009,21(6):26-33.
[17] 梁昌勇,吴坚,陆文星,等.一种新的混合型多属性决策方法及在供应商选择中的应用[J].中国管理科学,2006,14(6):71-76.
[18] Xu X. A note on the subjective an objective integrated approach to determine attribute weights[J]. European Journal of Operational Research, 2004, 156(2): 530-532.
[19] 何大义,陈小玲,许加强.多属性群决策问题中基于最小叉熵的权重集成方法[J].控制与决策,2017,32(2):378-384.
[20] 张华一,文福拴,张璨,等.基于前景理论的电网建设项目组合多属性决策方法[J].电力系统自动化,2016,40(14):8-14.
[21] 孟宪鹏,么莉,林济铿.基于关联矩阵法的电网黑启动方案评估[J].电工电能新技术,2007,26(4):65-70.
[22] 高玮,张炳达,林济铿,等.基于Vague方法与PROMETHEE方法相结合的黑启动路径评估[J].中国电力,2016,49(7):65-71.