Abstract
The paper deals with the complex- and discrete Fourier transform which has been considered for both three- and two phase orthogonal voltages and currents of systems. The investigated systems are power electronic converters supplying alternating current motors. Output voltages of them are strongly non-harmonic ones, so they must be pulse-modulated due to requested nearly sinusoidal currents with low total harmonic distortion. Modelling and simulation experiment results of half-bridge matrix converter for both steady- and transient states are given under substitution of the equivalence scheme of the electric motor by resistive-inductive load and back induced voltage. The results worked-out in the paper confirm a very good time-waveform of the phase current and results of analysis can be used for fair power design of the systems.
Highlights
Time domain waveforms of electrical quantities can be either continuous or discrete, and they can be either periodic or aperiodic
Let’s calculate first the total harmonic distortion factor (THD) of phase voltage where ϭU1Ίhහ(a2vහ/හ3e )t.he same meaning as above, based on total mathematical induction, we can show that both voltages, phase- and line-to-line, comprise the same harmonic components
The complex Fourier transformation was considered for threeand two phase orthogonal systems of converter output voltages, strongly non-harmonic ones
Summary
Time domain waveforms of electrical quantities can be either continuous or discrete, and they can be either periodic or aperiodic. Non-harmonic waveforms of power converter output quantities. Output voltage of a power electronic converter is strongly non-harmonic because of its switching-, pulse nature. 23 COMMUNICATIONS 1 / 2 0 1 0 G phase voltage inverter with full pulse-width has rectangular waveform output with high content of harmonic components (more than 45 %). Three-phase inverters produce three line-to-zero (phase) and three line-to-line non-harmonic voltages, Fig. 1. Based on classical Fourier transform the amplitude of fundamental harmonic of phase voltage can be calculated:. U U and LϪL ϭU1Ίhහ(a2vහ/හ3e )t.he same meaning as above, based on total mathematical induction, we can show that both voltages, phase- and line-to-line, comprise the same harmonic components. A paradox of different shape of both voltages is possible to explain so that the phase-spectra of the voltages are not the same, they are different
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