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MODELLING NON-LINEAR SYSTEMS BY EXTENDED FOURIER SERIES

The paper deals with modelling of non-linear systems consisting of highly oscillating subsystems. Signals are represented as Fourier series extended by half-frequency components that make it possible to model the transients. Macromodels for non-linear transformations are based on harmonic linearization, implemented by the Chebyshev expansion. This enables independent description of the non-linear transformation and calculation of the Chebyshev transformation of waveforms that appear during the solution. Integration method based on this approach has excellent stability properties and its accuracy can be checked by using different number of harmonics.