基于二阶锥规划的主动配电网动态无功优化
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摘要
为了提高分布式能源的利用率,降低网损,减少电压偏差,建立了包含储能、分布式电源、分组投电容器组,有载调压分接头以及静止无功补偿器等多种主动管理装置的配电网有功无功协调的动态无功优化多目标模型.使用层次分析法将多目标转化为单目标,采用Big-M方法将模型线性化,利用松弛理论松弛凸化为二阶锥规划的形式.在改进的IEEE 33节点上验证模型的有效性和合理性,利用Cplex来求解出各个主动管理装置的投切容量与时刻,证明了所建模型的合理性.
In order to increase the utilization rate of distributed energy and the to reduce network loss and voltage deviation,the multi-objective model of dynamic reactive power optimization with active and reactive power coordination for the distribution network was proposed in this paper.It consisted of Energy Storage System,Capacitors Banks,Static VAR Compensation,On-load Tap Changer,and distribution generation.The analytic hierarchy process was used to transform the multi-objective into a single target.The Big-M method was used to linearize the model,and the relaxation theory is used to relax the convexity into the form of the secondorder cone programming.Case study on the improved IEEE 33 network verified the effectiveness of the proposed model.Cplex was used to get the switching capacity and time each active management device.It was proved that the proposed method in this paper was reasonable.
In order to increase the utilization rate of distributed energy and the to reduce network loss and voltage deviation,the multi-objective model of dynamic reactive power optimization with active and reactive power coordination for the distribution network was proposed in this paper.It consisted of Energy Storage System,Capacitors Banks,Static VAR Compensation,On-load Tap Changer,and distribution generation.The analytic hierarchy process was used to transform the multi-objective into a single target.The Big-M method was used to linearize the model,and the relaxation theory is used to relax the convexity into the form of the secondorder cone programming.Case study on the improved IEEE 33 network verified the effectiveness of the proposed model.Cplex was used to get the switching capacity and time each active management device.It was proved that the proposed method in this paper was reasonable.
引文
[1]邢海军,程浩忠,曾平良,等.基于二阶锥规划的间歇性分布式电源消纳研究[J].电力自动化设备,2016,36(6):74-80.
[2]范明天,张祖平,苏傲雪,等.主动配电系统可行技术的研究[J].中国电机工程学报,2013,36(22):12-18.
[3]徐俊俊,黄永红,王琪,等.基于自然选择粒子群算法的含DG接入的配电网无功优化[J].电测与仪表,2014,51(10):33-38.
[4]杨胡萍,李威仁,左士伟,等.基于改进遗传算法的电力系统无功优化[J].郑州大学学报(工学版),2015,36(6):66-69.
[5]李鸿鑫,李银红,陈金富,等.自适应选择进化算法的多目标无功优化方法[J].中国电机工程学报,2013,33(10):71-78.
[6]张世达,孙永辉,赵景涛,等.基于随机响应面法的主动配电网无功优化[J].电力系统自动化,2017,41(13):30-38.
[7]杨德昌,廖文龙,孙雪,等.基于满意度阀值判定的主动配电网无功优化[J].电网技术,2017,41(9):3003-3010.
[8]ZHWNG W Y,WU W C,ZHANG B M,et al.A fully distributed reactive power optimization and control method for active distribution metworks[J].IEEEtransactions on smart grid,2016,7(2):1021-1033.
[9]梁俊文,林舜江,刘明波.主动配电网分布式无功优化控制方法[J].电网技术,2018,42(1):230-237.
[10]刘一兵,吴文传,张伯明,等.基于混合整数二阶锥规划的主动配电网有功-无功协调多时段优化运行[J].中国电机工程学报,2014,34(16):2575-2583.
[11]刘一兵,吴文传,张伯明,等.基于混合整数二阶锥规划的三相有源配电网无功优化[J].电力系统自动化,2014,38(15):58-64.
[12]全然,韦化,简金宝.求解大规模机组组合问题的二阶锥规划方法[J].中国电机工程学报,2010,30(25):101-107.
[13]NICK M,CHERKAOUI R,CHERKAOUI M.Optimal allocation of dispersed energy storage systems in active distribution networks for energy balance and grid support[J].IEEE transactions on power systems,2014,29(5):2300-2310.
[14]LI P,JI H,WANG C,et al.A coordinated control method of voltage and reactive power for active distribution networks based on soft open point[J].IEEE transactions on sustainable energy,2017,8(4):1430-1442.
[15]朱永胜,王杰,瞿博阳,等.采用基于分解的多目标进化算法的电力环境经济调度[J].电网技术,2014,38(6):1577-1584.
[16]SAATY T L.Decision making-the analytic hierarchy and network processes(AHP/ANP)[J].Journal of systems science and systems engineering,2004,13(1):1-35.
[2]范明天,张祖平,苏傲雪,等.主动配电系统可行技术的研究[J].中国电机工程学报,2013,36(22):12-18.
[3]徐俊俊,黄永红,王琪,等.基于自然选择粒子群算法的含DG接入的配电网无功优化[J].电测与仪表,2014,51(10):33-38.
[4]杨胡萍,李威仁,左士伟,等.基于改进遗传算法的电力系统无功优化[J].郑州大学学报(工学版),2015,36(6):66-69.
[5]李鸿鑫,李银红,陈金富,等.自适应选择进化算法的多目标无功优化方法[J].中国电机工程学报,2013,33(10):71-78.
[6]张世达,孙永辉,赵景涛,等.基于随机响应面法的主动配电网无功优化[J].电力系统自动化,2017,41(13):30-38.
[7]杨德昌,廖文龙,孙雪,等.基于满意度阀值判定的主动配电网无功优化[J].电网技术,2017,41(9):3003-3010.
[8]ZHWNG W Y,WU W C,ZHANG B M,et al.A fully distributed reactive power optimization and control method for active distribution metworks[J].IEEEtransactions on smart grid,2016,7(2):1021-1033.
[9]梁俊文,林舜江,刘明波.主动配电网分布式无功优化控制方法[J].电网技术,2018,42(1):230-237.
[10]刘一兵,吴文传,张伯明,等.基于混合整数二阶锥规划的主动配电网有功-无功协调多时段优化运行[J].中国电机工程学报,2014,34(16):2575-2583.
[11]刘一兵,吴文传,张伯明,等.基于混合整数二阶锥规划的三相有源配电网无功优化[J].电力系统自动化,2014,38(15):58-64.
[12]全然,韦化,简金宝.求解大规模机组组合问题的二阶锥规划方法[J].中国电机工程学报,2010,30(25):101-107.
[13]NICK M,CHERKAOUI R,CHERKAOUI M.Optimal allocation of dispersed energy storage systems in active distribution networks for energy balance and grid support[J].IEEE transactions on power systems,2014,29(5):2300-2310.
[14]LI P,JI H,WANG C,et al.A coordinated control method of voltage and reactive power for active distribution networks based on soft open point[J].IEEE transactions on sustainable energy,2017,8(4):1430-1442.
[15]朱永胜,王杰,瞿博阳,等.采用基于分解的多目标进化算法的电力环境经济调度[J].电网技术,2014,38(6):1577-1584.
[16]SAATY T L.Decision making-the analytic hierarchy and network processes(AHP/ANP)[J].Journal of systems science and systems engineering,2004,13(1):1-35.