Abstract
This paper applies the Filippov theory of differential equations with discontinuous right-hand side to model anti-windup PI controllers. The proposed approach solves the deadlock issue that arises in the PI control model recommended by the IEEE Standard 421.5-2016. An illustrative example as well as a case study based on a one-machine infinite-bus network show how the proposed approach works and discusses the effects of the proposed approach on the transient response of power systems.
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