用于最小开机数判定的经典非合作博弈潮流分布模型

Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number

在中国东部沿海地区直流供电占比逐步增加,对受端电网安全稳定运行提出了更高要求,也使得以电压稳定为目标的最小开机数判定成为新形势下需要研究的问题。首先,明确最小开机数判定优化目标,包含多层协调的非线性混合整数优化问题;其次,基于经典非合作博弈建立博弈潮流分布求解模型,同时考虑功率备用、薄弱线路、重点负荷、特殊注入功率因素对模型进行完善,将最小开机数判定优化问题转化为以计算博弈平衡为主的问题,并将博弈潮流分布模型应用于最小开机数判定并给出判定方法。最后,采用IEEE 162节点系统算例和中国山东电网实际数据判定最小开机数,通过与牛顿法的计算结果对比分析和灵敏度分析验证了博弈潮流分布模型的合理性。

The increasing ratio of DC power supply in the eastern coastal region puts forward the higher requirements for the safe and stable operation of the receiving-end power grid. Thus, it makes the problem of determining the minimum generator number using the voltage stability as the objective is becoming the research hot topic in the new situation. Firstly, this paper proposes the optimization target for determining the minimum generator number, which can be treated as complex nonlinear and integer optimization problem. Secondly, based on the classical non-cooperative game theory, game power flow distribution model is established. At the same time, the established model is improved by considering the power capacity reserve, weak line, critical loads, and special injection power. Converting minimum generator number optimization model into calculating game balance problems, the determination method of minimum generator number is proposed. Finally, the minimum generator number is determined in the test of IEEE 162-node system and Shandong power grid of China, and the rationality of the game power flow distribution model is verified by sensitivity analysis and the comparison between the calculation results from proposed method and Newton method.