Keywords :
Linear matrix inequalities; multivariable robust control; primary control of microgrids; voltage and frequency regulation; Control design; Frequency regulations; Linear matrix in equalities; Microgrid; Power systems stability; Primary control; Primary control of microgrid; Stability criterions; Voltage and frequency regulation.; Computer Science (all); General Computer Science
Abstract :
[en] This work proposes a control design procedure based on Linear Matrix Inequalities (LMI) for integrating Distributed Energy Resources (DERs) in microgrid systems. Each DER uses local measurements as feedback, so this proposal results in a method to design a decentralized primary control. The dynamic model employed to synthesize such a controller presents an unmeasured state vector, model uncertainties, and random disturbances. To simultaneously deal with all these difficulties while ensuring the closed-loop stability and multiple performance specifications, this work is formulated in terms of a single Lyapunov function. To find this Lyapunov function and synthesize the controller gains, a convex optimization problem that involves LMIs is required to be solved. The controller results in a linear discrete-time output-feedback form, facilitating its implementation. The time-domain simulation of a microgrid system is performed in the software PSCAD/EMTDC with four DERs to validate the control design procedure's effectiveness.
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