Abstract

A turbogenerator set, consisting of a turbine and a synchronous generator, is a typical multivariable electromechanical system, which is determined by its highly nonlinear behaviour and non negligible couplings between electrical and mechanical control loops. Especially if this plant is not connected to the rigid 50 Hz mains, the control task for varying load in different operating points is quite difficult. Decentralized conventional three-term control does not give sufficient control performance. In this paper a multi-variable control strategy based on the “robust servo compensator” will be investigated. In contrary to the standard state-space approach, here all theory necessary for modelling, analysis, design and implementation will be formulated in frequency domain, using the polynomial matrix representation. Starting from measured input and output signals a reduced order left coprime polynomial matrix fraction has been obtained using a least- squares identification algorithm. The controller design comprises solution of two diophantine polynomial matrix equations and two spectral factorization problems for closed loop and observer dynamics, according to minimization of a quadratic performance index.

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