低压配电网分散无功补偿与扩大线径协调优化计算
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摘要
针对低压配电网馈线末端节点电压偏低的问题,提出了低压配电网分散无功补偿与扩大线径协调优化计算模型。目标函数综合考虑了安装无功补偿装置和更换导线的投资成本以及降低配电网损耗的经济效益,约束条件包括配电网运行约束,以及无功补偿点补偿容量和扩大线径支路截面积的上下限约束。采用凸松弛技术对优化模型中的整数变量进行连续化处理,并结合问题特点降低需要引入整数变量的数目。根据低压配电网潮流计算结果选择电压损耗大的支路作为扩大线径候选线路,同时以所有负荷节点作为候选无功补偿点,计算得到分散无功补偿与扩大线径的协调优化方案。以某个实际低压配电台区为例,计算结果验证了所提出方法得到的协调优化方案比单纯无功补偿方案具有更高的经济效益,电压质量也更好。
Aimed at the problem of slight low node voltage at the end of feeder of in low voltage distribution network,the coordinated optimization calculation model for distributed reactive power compensation and line diameter expansion is proposed.The investment cost for installing reactive power compensation device and replacing line and the economy efficiency of reducing network loss are comprehensively considered in the objective function.The constraints include various operation constrain of distribution network,upper and lower constraints of compensation capacity of the reactive power compensation point and expansion cross section area of line path.The convex relaxation technology is used to process continuously the integer variables in the optimization model and the number of integer variables is reduced by the characteristics of the problem.The branch with high voltage loss is selected as the candidate line of diameter expansion line in accordance with flow calculation of low voltage distribution network and,at the same time,all the load is taken as candidate reactive power compensation point,and the coordinate optimization proposal is obtained of distributed reactive power compensation and line diameter expansion is obtained by the calculation.A certain actual low voltage distribution network is taken as an example.It is verified through the calculation result that the coordinated optimization proposal obtained by the proposed method has higher economy efficiency and better voltage quality than those of pure reactive power compensation proposal.
Aimed at the problem of slight low node voltage at the end of feeder of in low voltage distribution network,the coordinated optimization calculation model for distributed reactive power compensation and line diameter expansion is proposed.The investment cost for installing reactive power compensation device and replacing line and the economy efficiency of reducing network loss are comprehensively considered in the objective function.The constraints include various operation constrain of distribution network,upper and lower constraints of compensation capacity of the reactive power compensation point and expansion cross section area of line path.The convex relaxation technology is used to process continuously the integer variables in the optimization model and the number of integer variables is reduced by the characteristics of the problem.The branch with high voltage loss is selected as the candidate line of diameter expansion line in accordance with flow calculation of low voltage distribution network and,at the same time,all the load is taken as candidate reactive power compensation point,and the coordinate optimization proposal is obtained of distributed reactive power compensation and line diameter expansion is obtained by the calculation.A certain actual low voltage distribution network is taken as an example.It is verified through the calculation result that the coordinated optimization proposal obtained by the proposed method has higher economy efficiency and better voltage quality than those of pure reactive power compensation proposal.
引文
[1]欧阳森,杨家豪,耿红杰,等.面向台区管理的台区状态综合评价方法及其应用[J].电力系统自动化,2015,39(11):187-192.OUYANG Sen,YANG Jiahao,GENG Hongjie,et al. Comprehensive evaluation method of transformer area state oriented to transformer area management and its application[J]. Automation of Electric Power Systems,2015,39(11):187-192.
[2]郑欣,陈文炜,林舜江,等.考虑泵类负荷特性的低压配电网潮流计算[J].电力系统保护与控制,2014,42(20):25-31.ZHENG Xin,CHEN Wenwei,LIN Shunjiang,et al. Power flow calculation of low voltage distribution network including pump loads[J]. Power System Protection and Control,2014,42(20):25-31.
[3]韩笑,宋丽群,叶森.基于负荷统计与预测的农网配电台区无功补偿软件设计[J].电力自动化设备,2010,30(4):89-91.HAN Xiao,SONG Liqun,YE Sen. Reactive power compensation software based on load statistics and forecasts for rural distribution area[J]. Electric Power Automation Equipment,2010,30(4):89-91.
[4]李颖峰.低压配电网无功补偿方式及优化研究[J].电气应用,2008,27(19):53-55.LI Yingfeng. Research on reactive power compensating modes and optimization for low voltage distribution network[J]. Electrotechnical Application,2008,27(19):53-55.
[5]张海鹏,林舜江,刘明波,等.低压配电网无功补偿及效益评估系统的开发和应用[J].电力系统保护与控制,2015,43(5):129-136.ZHANG Haipeng,LIN Shunjiang,LIU Mingbo,et al. Development of low voltage distribution networks reactive power compensation and benefit assessment system and its application[J]. Power System Protection and Control,2015,43(5):129-136.
[6]黄晓彤,陈文炜,林舜江,等.低压配电网无功补偿分散配置优化方法[J].南方电网技术,2015,9(2):44-49.HUANG Xiaotong,CHEN Wenwei,LIN Shunjiang,et al. A new method on distributed allocation optimization of reactive power compensation in low voltage distribution network[J].Southern Power System Technology,2015,9(2):44-49.
[7] CHEN S-X,EDDY Y,GOOI H B,et al. A centralized reactive power compensation system for LV distribution networks[J]. IEEE Transactions on Power Systems,2015,30(1):274-284.
[8]刘杨华,张海鹏,林舜江,等.考虑泵类负荷特性的低压配电网分散无功补偿优化配置[J].电力电容器与无功补偿,2017,38(4):140-145.LIU Yanghua,ZHANG Haipeng,LIN Shunjiang,et al. Optimal allocation on distributed reactive power compensation of low voltage distribution network considering pump loads characteristics[J]. Power Capacitor&Reactive Power Compensation,2017,38(4):140-145.
[9]戎荣,陈欣晖,耿红杰,等.低压配电网节能改造对沿线电压特性和线损率的影响[J].电气应用,2015,34(15):139-144.RONG Rong,CHEN Xinhui,GENG Hongjie,et al. Influence of low voltage distribution network energy conservation transformation on voltage characteristics and line loss rate[J]. Electrotechnical Application,2015,34(15):139-144.
[10]何仰赞,温增银.电力系统分析-下册[M].第3版.武汉:华中科技大学出版社,2002.
[11]张海鹏,林舜江,刘明波.考虑光伏不确定性的低压配电网分散无功补偿鲁棒优化配置[J].电网技术,2016,40(12):3880-3888.ZHANG Haipeng,LIN Shunjiang,LIU Mingbo. Robust optimal allocation of reactive power compensation in low voltage distribution networks considering uncertainty of photovoltaic generation[J]. Power System Technology,2016,40(12):3880-3888.
[12]SAGER S. Numerical methods for mixed-integer optimal control problems[M]. T?nning,Lübeck,Marburg:Der Andere Verlag,2005. Availableahttp://sager1. de/sebastian/downlo-ds/Sager2005.
[13]LOGIST F,SAGER S,KIRCHES C,et al. Efficient multiple objective optimal control of dynamic systems with integer controls[J]. Journal of Process Control,2010,20(7):810-822.
[14]欧阳逸风,刘明波.暂态电压安全多目标混合整数最优控制模型及凸松弛方法[J].中国电机工程学报,2015,35(23):6018-6027.OUYANG Yifeng,LIU Mingbo. Multi-objective/mixed-integer optimal control model and convex relaxation method for transient voltage security[J]. Proceedings of the CSEE,2015,35(23):6018-6027.
[15]GAMS Development Corporation. GAMS,the solver manual[EB/OL][2018-12-03]. http://www.gams.com/help/topic/gams.doc.
[2]郑欣,陈文炜,林舜江,等.考虑泵类负荷特性的低压配电网潮流计算[J].电力系统保护与控制,2014,42(20):25-31.ZHENG Xin,CHEN Wenwei,LIN Shunjiang,et al. Power flow calculation of low voltage distribution network including pump loads[J]. Power System Protection and Control,2014,42(20):25-31.
[3]韩笑,宋丽群,叶森.基于负荷统计与预测的农网配电台区无功补偿软件设计[J].电力自动化设备,2010,30(4):89-91.HAN Xiao,SONG Liqun,YE Sen. Reactive power compensation software based on load statistics and forecasts for rural distribution area[J]. Electric Power Automation Equipment,2010,30(4):89-91.
[4]李颖峰.低压配电网无功补偿方式及优化研究[J].电气应用,2008,27(19):53-55.LI Yingfeng. Research on reactive power compensating modes and optimization for low voltage distribution network[J]. Electrotechnical Application,2008,27(19):53-55.
[5]张海鹏,林舜江,刘明波,等.低压配电网无功补偿及效益评估系统的开发和应用[J].电力系统保护与控制,2015,43(5):129-136.ZHANG Haipeng,LIN Shunjiang,LIU Mingbo,et al. Development of low voltage distribution networks reactive power compensation and benefit assessment system and its application[J]. Power System Protection and Control,2015,43(5):129-136.
[6]黄晓彤,陈文炜,林舜江,等.低压配电网无功补偿分散配置优化方法[J].南方电网技术,2015,9(2):44-49.HUANG Xiaotong,CHEN Wenwei,LIN Shunjiang,et al. A new method on distributed allocation optimization of reactive power compensation in low voltage distribution network[J].Southern Power System Technology,2015,9(2):44-49.
[7] CHEN S-X,EDDY Y,GOOI H B,et al. A centralized reactive power compensation system for LV distribution networks[J]. IEEE Transactions on Power Systems,2015,30(1):274-284.
[8]刘杨华,张海鹏,林舜江,等.考虑泵类负荷特性的低压配电网分散无功补偿优化配置[J].电力电容器与无功补偿,2017,38(4):140-145.LIU Yanghua,ZHANG Haipeng,LIN Shunjiang,et al. Optimal allocation on distributed reactive power compensation of low voltage distribution network considering pump loads characteristics[J]. Power Capacitor&Reactive Power Compensation,2017,38(4):140-145.
[9]戎荣,陈欣晖,耿红杰,等.低压配电网节能改造对沿线电压特性和线损率的影响[J].电气应用,2015,34(15):139-144.RONG Rong,CHEN Xinhui,GENG Hongjie,et al. Influence of low voltage distribution network energy conservation transformation on voltage characteristics and line loss rate[J]. Electrotechnical Application,2015,34(15):139-144.
[10]何仰赞,温增银.电力系统分析-下册[M].第3版.武汉:华中科技大学出版社,2002.
[11]张海鹏,林舜江,刘明波.考虑光伏不确定性的低压配电网分散无功补偿鲁棒优化配置[J].电网技术,2016,40(12):3880-3888.ZHANG Haipeng,LIN Shunjiang,LIU Mingbo. Robust optimal allocation of reactive power compensation in low voltage distribution networks considering uncertainty of photovoltaic generation[J]. Power System Technology,2016,40(12):3880-3888.
[12]SAGER S. Numerical methods for mixed-integer optimal control problems[M]. T?nning,Lübeck,Marburg:Der Andere Verlag,2005. Availableahttp://sager1. de/sebastian/downlo-ds/Sager2005.
[13]LOGIST F,SAGER S,KIRCHES C,et al. Efficient multiple objective optimal control of dynamic systems with integer controls[J]. Journal of Process Control,2010,20(7):810-822.
[14]欧阳逸风,刘明波.暂态电压安全多目标混合整数最优控制模型及凸松弛方法[J].中国电机工程学报,2015,35(23):6018-6027.OUYANG Yifeng,LIU Mingbo. Multi-objective/mixed-integer optimal control model and convex relaxation method for transient voltage security[J]. Proceedings of the CSEE,2015,35(23):6018-6027.
[15]GAMS Development Corporation. GAMS,the solver manual[EB/OL][2018-12-03]. http://www.gams.com/help/topic/gams.doc.