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Optimal control of power system using HVDC links



Alexander Fuchs, Maryam Kamgarpour

    Stability of a power network refers to the ability of the system to remain in an equilibrium operating condition. There are several notions of power system stability. The so-called rotor-angle stability is the ability of synchronous generators to remain in synchronicity. HVDC electronic devices have been introduced in power network to control the power flow and to reduce transmission line losses. The goal of this project is to analyze rotor-angle stability and determine structural controllability of the power system dynamics using HVDC as actuation.

Project Description
    The dynamics of the single generator connected to an infinite bus system, as shown in the top figure, can be abstracted by a second order nonlinear differential equation. In the past work, we have obtained a stabilizing controller using HVDC for this model (the bottom work shows the region of attraction of the stable equilibrium, which we maximized using optimal control). In this past work, a simplified model of the HVDC actuation was used and controllability issues were explored given this model. In this work, we consider a more realistic model of the HVDC dynamics. Using an extended state definition, we study the controllability and structural controllability of the power system dynamics. Then, we consider control design with desired transient and steady-state performances. Two classes of parameter uncertainty will be considered. In the first class, the unknown parameter lies inside an uncertainty set. In the second class, the unknown parameter has a given probability distribution. A robust controller will be designed to maximize stability despite parameter uncertainties.

Required Skills
    Differential equations, dynamical systems, control theory, linear system theory, Matlab.

Acquired Skills
    Power system modeling, implementation of nonlinear optimal control schemes, safety and reachability problems, dynamic programming, mathematical strength and interest, independent thinking.
    Maryam Kamgapour, Automatic Control Lab,
    Alexander Fuchs, Research Center for Energy Networks,

Weitere Informationen

Maryam Kamgarpour

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Status: open