Abstract. In the paper, a method and results of parameter estimation of the mathematical model of a generating unit operating in the Polish National Power System are presented. Computations of the parameters were carried out based on measurement and simulation of dynamic waveforms of selected quantities of the generating unit. The problem of parameter identification was brought to minimization of the objective function determined by the vector of deviations between the approximated and approximating waveforms computed on the basis of the models expressed by the searched parameters. A hybrid optimization algorithm, being a serial combination of genetic and gradient algorithms, was used for minimization of the objective function. A methodology for filtering the recorded measurement signals is proposed in the paper. Method and results calculation of the sensitivity to changes of the model parameters of selected dynamic waveforms are also presented.Key words: power system, generating unit, optimization, study of dynamic models.
Mathematical model parameter estimation of a generating unit operating in the Polish National Power System
Mathematical description of generating unit elementsA generating unit operating in Pątnów Power Plant -a steam turbine driving TWW-200 turbo generator, together with an electro-machine excitation system consisting of a three-phase induction exciter, a diode rectifier and a voltage regulator -was chosen as a representative of generating units operating in the PNPS. The classical mathematical model of a synchronous generator expressed by reactances and time constants in the d and q axis, including saturation of the machine magnetic circuit, is a model representing the turbo generator installed in a power plant. This model was used for simulation calculations. The state and output equations of the generator model together with a detailed description are presented in [1,2,3].The model of the electro-machine excitation system installed in Pątnów Power Plant consists of three submodels: the model of the voltage regulator, the model of the exciter with an additional regulator and the model of the excitation voltage forming system (Fig. 1). In the schematic diagram in Fig. 1