含牵引负荷的电力系统三相不对称谐波潮流计算

以国产SS4型电力机车的数学模型为基础，将谐波源作为受控电流源，提出了含牵引负荷的 电力系统三相不对称谐波潮流新算法。其中，基波计算部分采用PQ分解法，并采用稀疏矩 阵和对称矩阵处理技术，利用三相因子表求解，在很大程度上节省了内存，减少了计算量; 谐波计算部分采用节点电压方程，利用高斯消去法直接求解，不存在收敛性问题。基波和谐 波潮流进行分离相关迭代，最终求出各节点的基波和谐波电压以及各支路的基波功率和谐波 电流。算例表明，该算法能有效地节省内存，且收敛性较好。

CALCULATION OF THREE-PHASE ASYMMETRICAL HARMONIC POWER FLOW IN POWER SYSTEMS WITH TRACTION LOADS

The mathematical model of SS4 electric locomotive,made in China,is first introduced.Then considering the harmonic source as a controled current source,a new algorithm for calculating three-phase asymmetrical harmonic power flow in power systems with traction loads is presented.In this algorithm,the three-phase fundamental power flow is solved by the PQ decoupled method in which the sparse and symmetrical matrix handling technology and three-phase factor table are used,thus memory is saved and computing quantity is decreased.The three-phase harmonic power flow is directly solved by Gaussian elimination method with linear nodal voltage equation,thus there exists no convergence problem.The fundamental and harmonic nodal voltage and branch current are solved by decoupled iteration of fundamental and harmonic power flow.The calculation results of some typical examples show that this algorithm can effectively save memory and has good convergence.