基于泰勒级数的节点类型转换预测方法

Forecasting Method of Node Type Conversion Based on Taylor Series

连续潮流法作为电力系统分析的重要工具,其过程中所存在的节点类型转换问题对电力系统的安全稳定评估具有重要意义。针对这一问题,提出一种基于泰勒级数的节点类型转换预测方法。首先分析了负荷增长对节点类型转换的影响,并将节点电压和负荷电流展开为功率参变量的高阶泰勒级数;然后明晰了节点类型的转换原理,并建立了节点类型转换预测的数学模型。通过这一模型可方便得知,节点类型转换的本质是节点强有效性约束条件的转化。仿真结果表明,基于泰勒级数等值的节点转换预测方法能够在误差允许的范围内准确地计算出节点类型转换时所对应的功率参变量,准确预测出系统中的节点类型转换情况。

Continuous power flow method is an important tool in power system analysis,and its node type conversionproblem is of significance to the evaluation on the safety and stability of power system. To solve this problem,a forecasting method for node type conversion is proposed based on Taylor series. First,the influence of load growth on node type conversion is analyzed,and the node voltage and load current are expanded as high-order Taylor series of power parameters. Then,the conversion principle of node types is clarified,and a mathematical model of node type conversion forecasting is established. According to this model,it is easy to learn that the essence of node type conversion is the transformation of the node’s strongly effective constraints. Simulation results show that the forecasting method of node type conversion based on equivalent Taylor series can accurately calculate the corresponding power parameters in an allowable error range,and accurately forecast the situations of node type conversion in power system.