基于嵌套多目标粒子群算法的多类型柔性交流输电系统优化配置

Multi-type Flexible AC Transmission System Optimization Placement Based on Nesting Multi-objective Particle Swarm Optimization Algorithm

以投资费用最小和系统可用输电能力(available transfer capability,ATC)最大为目标,建立了多类型柔性交流输电系统(flexible AC transmission system,FACTS)的多目标优化模型,并考虑了多个约束条件。提出一种嵌套的多目标粒子群优化算法求解该多约束非线性N-P困难问题的Pareto解集,该算法的外层用于计算多目标优化问题,内层用于计算系统的可用输电能力和静态电压稳定指标。结果表明不考虑其他因素时,晶闸管控制串联电容器(thyristor controlled series capacitor,TCSC)是最合理的配置选择;当FACTS安装数量有限时,相比统一潮流控制器(unified power flow controller,UPFC)和静止同步补偿器(static synchronous compensator,STATCOM),多种FACTS设备混合安装可以在经济上和效果上取得较好的平衡;若电网在有限投资水平下需要较高的可用输电裕量,应首先考虑并联型和串联型FACTS混合安装的方案。在IEEE-14节点中对所提方法进行的验证表明该方法的正确性和有效性,该方法可以同时确定FACTS的安装类型、安装地点和补偿容量。

For minimizing investment cost and maximizing available transmission capacity（ATC）, we presented a multi-objective optimization model of flexible AC transmission system（FACTS） placement after considering multiple constraints. A nesting multi-objective particle swarm optimization algorithm is used for this multi-constrained non-linear N-P difficult model. The algorithm＇s outer layer is used to compute multi-objective optimization, and its inner layer is used to compute ATC and static voltage stability indexes. Several conclusions are drawn from calculation on the basis of the presented model as follows： thyristor controlled series capacitor（TCSC） is the most reasonable configuration without considering any other factors; compared with unified power flow controller（UPFC） and static synchronous compensator（STATCOM）, mixed installation of multi-type FACTS can get a better balance between enhancing ATC and lowering investment cost; if a grid needs higher ATC with limited investment, a parallel and series hybrid FACTS installation program is its first choice. A simulation of the standard IEEE 14-bus power system indicates that the proposed optimization method is valid and correct, and it can determine the type, size, and location of FACTS simultaneously.