Frequency‐domain analytical investigation of space‐vector modulated PWM waveforms in four‐switch VSI

Jiri Klima (Department of Electrical Engineering, Technical Faculty of CZU, Prague, Czech Republic)



To provide a new method and methodology for researches and academic members which can help them to develop scientific work.


The paper presents closed‐form expressions for the harmonic components of the space‐vector pulsewidth modulated (PWM) waveforms under inverter fault‐mode operations. The main method that is used is the Laplace transform and Fourier series expansion theorem.


Provides information about harmonic sources and its influence on the behavior of the induction machine.

Practical implications

The calculated harmonics show a very close agreement with measured harmonics from an experimental digital signal processor (DSP) based modulator. It provides a very useful source of theoretical and practical information for scientific and research area.


The method is original and has not been published before. The new and original approach is given by the use of the Laplace transform of space‐vectors in the complex plane. This will help to understand harmonics which are formed in four‐switch voltage source inverter.



Klima, J. (2005), "Frequency‐domain analytical investigation of space‐vector modulated PWM waveforms in four‐switch VSI", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 4, pp. 1258-1273.

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