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The component structural models can fully describe the complex characteristics of components in real power systems, including nonlinearity, DAE (differential-algebraic equation), sub-system, etc. In this paper, inversion controllers of components are designed based on component structural models. Firstly, the inputs and outputs of component structural model are expanded, and then an expanded controlled object of component expressed by standard ODE (ordinary differential equation) model could be derived. Secondly, based on the interactor algorithm, the inversion controller is designed. The proposed inversion control method is theoretically strict and effective. Meanwhile, choosing SVC (static VAr compensator) as an example, the detailed procedure of designing controller is illustrated.