Abstract. The paper presents a method for determining electromagnetic parameters of different synchronous generator models based on dynamic waveforms measured at power rejection. Such a test can be performed safely under normal operating conditions of a generator working in a power plant. A generator model was investigated, expressed by reactances and time constants of steady, transient, and subtransient state in the d and q axes, as well as the circuit models (type (3,3) and (2,2)) expressed by resistances and inductances of stator, excitation, and equivalent rotor damping circuits windings. All these models approximately take into account the influence of magnetic core saturation. The least squares method was used for parameter estimation. There was minimized the objective function defined as the mean square error between the measured waveforms and the waveforms calculated based on the mathematical models. A method of determining the initial values of those state variables which also depend on the searched parameters is presented. To minimize the objective function, a gradient optimization algorithm finding local minima for a selected starting point was used. To get closer to the global minimum, calculations were repeated many times, taking into account the inequality constraints for the searched parameters. The paper presents the parameter estimation results and a comparison of the waveforms measured and calculated based on the final parameters for 200 MW and 50 MW turbogenerators.Key words: gradient optimization algorithm, synchronous generator models, parameter estimation, load rejection tests.
Determination of synchronous generator nonlinear model parameters based on power rejection tests using a gradient optimization algorithmA. BOBOŃ, A. NOCOŃ, S. PASZEK, and P. PRUSKI * Institute of Electrical Engineering and Computer Science, Silesian University of Technology, 10 Akademicka St., 44-100 Gliwice, Poland SSFR [2,6,7]) and those based on the results of measurements at a rotating machine. The methods based on the measurement tests carried out under the conditions close to normal operation of a synchro nous generator, such as power rejection tests [2,7,11]. The load rejection test is of great practical importance. Its realization requires only minor changes in the normal operating procedures of a generating unit. The test can be carried out during a scheduled shutdown of the generator. More detailed description of the load rejection test is given in Section 3.The paper presents the models of synchronous generators with a cylindrical rotor (turbogene rator) of type XT and RL that take into account the saturation of the machine's magnetic circuit. The parameter estimation method for these models is described. In this method, the dynamic waveforms of selected quantities measured during power rejection tests are used. The estimation results for 200 MW and 50 MW generators are given in the paper.To determine the values of the parameters of the analysed mathematical models, the least squares method was used. An ob...