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By A.K. Sharma

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10 Performance index Q(2) d for the test data in the series-parallel model (the left chart) and in the parallel model (the right chart) ð1Þ parallel model. For the test data there are large hesitation quality criterion Qd . ð1Þ Qd Level values of the quality criterion for the test data is about two order higher than that for the training data. 7 (see Fig. 10). For small and large values of factor a1 (that is a1 ¼ 0:01, a1 ¼ 0:99) the ð2Þ increase in factor a0 causes an increase in values of the quality criterion Qd .

WðRÞ is the set of parameters (weights) of the global model divided into subsets of simple models P and local models, ar 2 ½0; 1Š and Rr¼1 ar ¼ 1 are weighted coefficients for the local models, a0 is weighting coefficient of the global model, such that 0 ≤ α0 ≤ 1. 3 Motivation The weighting factors αr determine an individual participation of the quality criteria ðrÞ Qd of local models in the synthetic quality criterion (3), while the weighting factor α0 determines the participation the global quality index QG in the synthetic quality criterion (3).

Pasko (a) (b) Fig. 8 Frequency responses of the analyzed hybrid filter for different value of K gain system dynamic properties by extending the time transients [3, 6, 7]. Therefore it is necessary to compromise and to use in real applications signal filters with cut-off frequency in the range (10–20) Hz. 5 Summary The paper presents a frequency model derivation of method for determining harmonics in three-phase systems. The analyzed method uses the Park transformation and is implemented in the time domain, however, the obtained model in frequency domain allows to analyze the frequency characteristics of the system in which it is used.

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