考虑暂态电压安全的STATCOM安装地点选择和容量优化

Selection of STATCOM's installation site and capacity optimization considering transient voltage security

建立考虑多故障暂态电压安全的静止同步补偿器(STATCOM)安装地点和容量优化的数学模型。通过特定故障后系统母线电压恢复到0.75pu以上的时间确定敏感母线,综合考虑敏感母线和系统区域平衡确定STATCOM的安装地点。STATCOM容量优化模型以多台STATCOM容量之和最小为目标,以故障切除后1s母线电压恢复值不低于0.75pu作为系统暂态电压安全约束,通过计算节点电压分别对于各台STATCOM容量的轨迹灵敏度,将暂态电压安全约束转化为关于STATCOM容量的线性不等式约束,进而采用线性规划方法可解出满足多个故障下系统暂态电压安全要求的STATCOM容量。最后,通过IEEE9节点和39节点系统的仿真计算验证了所提出STATCOM安装地点和容量优化方法的正确性。

The mathematical model for installing sites and optimal capacity of STATCOM considering transient voltage security under multi-faults is established.By the time that the voltage magnitude of system recovers to 0.75 pu,we can ascertain sensitive buses,then ascertaininstalling sites of STATCOM considering both sensitive bus and region balance of system.In the optimization process of STATCOM capacity,we treat theminimum of total capacity of STATCOM as objective function.The constraint of transient voltage security is that the magnitude of bus voltages is not less than 0.75 pu within one second after the fault is cleared.By calculating the trajectory sensitivity of the magnitude of bus voltages to the capacity of each STATCOM,the transient voltage security constraints are transformed into linear inequality constraints of the capacity of STATCOM,then the optimal capacity of STATCOM can be gained by the way of solving linear programming model,which is suitable for transient voltage security under multi-faults.Through theinstance of IEEE 9-bus and 39-bus systems,therationality of the optimization model and algorithm are verified.