潮流追踪用于明确发电机、负荷与线路三者在电力系统某一运行状态下的功率分布关系,经十多年的发展,逐渐从单纯的有功功率追踪发展到复功率追踪。提出一种新的复功率追踪算法,不需要比例分配原则,通过发电机电流、负荷电流、线路电纳和母线并联导纳定义4个等值导纳矩阵,经严格的数学推导和矩阵运算可同时得到有功功率和无功功率在发电机、负荷与线路上的功率分布,得到发电机、负荷和线路三者间的复功率分布解析表达式。经6节点系统的验证,结果符合基本电路理论和定理,与其他文献的结果对比,证明了所提算法的正确性。
Power flow tracing is a method to find out the power allocation relations between generators, loads and lines at a specific power system operating state. In more than a decade, it has developed from active power tracing to complex power tracing. This paper proposes a new complex power tracing algorithm without assuming any power allocation principles. It defines four equivalent admittance matrices by generator current, load current, line susceptance and bus shunt admittance. Both active and reactive power allocation relations between generators, loads and lines can be acquired by rigorous mathematical derivation and matrix operation, resulting in analytical expressions. Simulation results on a six-bus system were consistent with basic circuit theorems and the correctness of the proposed algorithm was proved by comparing with the results of other references.