基于MISOCP的主动配电网有功无功协调动态优化

Dynamic Optimization of Reactive Power Coordination in Active Distribution Network Based on MISOCP

针对主动配电网有功无功灵活控制设备协调控制难度大的问题,提出了基于混合整数二阶锥规划(mixed integer second-order cone programming,MISOCP)的主动配电网有功无功协调动态优化方法。首先,建立了包含有功无功灵活控制设备运行约束条件的主动配电网有功无功协调动态优化模型,该模型为混合整数非线性规划(mixed integer nonlinear programming,MINP);其次,为了提高原问题的求解速度,将原问题的MINP模型松弛为易于求取最优解且计算速度快的MISOCP模型,最后,以IEEE 33节点扩展系统进行仿真分析。仿真结果验证了:主动配电网中的有功无功灵活控制设备能大幅降低网络有功损耗,对配网的安全经济运行具有积极意义;MISOCP具有和MINP同等的鲁棒性和最优性,但计算时间大大缩短。

In view of the difficulty of coordinated control of active and reactive flexible control equipment in active distribution network,a coordinated dynamic optimization method of active and reactive power for active distribution network based on mixed integer second-order cone programming(MISOCP)is proposed.Firstly,a coordinated dynamic optimization model of active and reactive power for active distribution network is established,which includes the operation constraints of active and reactive power flexible control devices.The model is a mixed integer nonlinear programming(MINP).Secondly,in order to improve the solving speed of the original problem,the MINP model of the original problem is relaxed into the MISOCP model which is easy to get the optimal solution and fast to calculate.Finally,the IEEE 33 node extension system is subject to simulation analysis.It is verified by the simulation result that the active and reactive flexible control equipment in the active distribution network can reduce remarkably the active power loss of the network and is positive for the safe and economic operation of distribution network.MISOCP has not only the same robustness and optimality as that of MINP,but also short calculation time that the latter.