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Sufficient and necessary condition of sensitivity consistency in static equivalent methods

机译：静态等效方法中灵敏度一致性的充要条件

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摘要

Both power flow states and sensitivities between variables are important information in power system analysis and should be kept consistent before and after equivalence. The general sufficient and necessary condition for sensitivity consistency in equivalent methods is derived. Based on the proposed general condition, it is further derived that Thevenin equivalent method can keep sensitivity consistent before and after equivalence, whereas the specific preconditions for sensitivity consistency are required for the traditional Ward equivalent method and extended Ward equivalent method. These two Ward equivalent methods cannot meet the preconditions in general cases and may lead to significant errors. This conclusion is confirmed by simulation results of the IEEE 39-bus system and an actual power system with 661 buses.
机译：潮流状态和变量之间的敏感度都是电力系统分析中的重要信息，在等效之前和之后应保持一致。推导了等效方法中灵敏度一致性的一般充分必要条件。基于提出的一般条件，进一步推导了戴维南等效法可以保持等效前后的灵敏度一致，而传统的沃德等效法和扩展沃德等效法则要求灵敏度一致的特定前提。在一般情况下，这两种Ward等效方法无法满足前提条件，并且可能导致重大错误。 IEEE 39总线系统和具有661总线的实际电源系统的仿真结果证实了这一结论。

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