为准确判断电力系统动态等值模型的有效性,提出了基于功率灵敏度的等值模型可信度量化评估方法。介绍了功率灵敏度的基本概念,推导了计及感应电动机负荷的系统功率灵敏度矩阵,指出电力系统动态响应本质上取决于动态元件相互之间传输功率的灵敏度。根据等值系统的特点,分析了等值前后功率灵敏度矩阵之间的关系,给出了研究系统内部及研究系统与外部系统之间的功率灵敏度误差,定义了等值模型可信度。以IEEE10机39节点系统为例,分别计算了不同等值模型的可信度。仿真结果表明,该指标准确并量化地反映了动态等值模型的有效性,对于不同等值模型具有良好的辨别能力,且计算量小,可有效应用于等值模型校验。
In order to assess the validity of power system dynamic equivalent model accurately, a quantitative credibility evaluation method based on power sensitivity is proposed. The basic concept of power sensitivity of a power system is introduced and the power sensitivity matrix for a power system considering induction motors is derived. It is found that the dynamical responses of power system are essentially determined by the transmitting power sensitivities between dynamical components. The relationship between power sensitivity matrices of the original and equivalent systems is analyzed according to the characteristics of the equivalent system. Power sensitivity errors in the study system and the external system are given and the credibility of the equivalent model is defined. Finally, this credibility evaluation method is tested with the IEEE 10 machine 39-bus system. The credibility of different equivalent models is calculated respectively. Simulation results show that the depicted credibility index reflects validity of the equivalent models precisely and quantitatively. It can effectively distinguish different equivalent models. This method is suitable for equivalent model validations with very low comoutational costs.