Generic pulse width modulation model, based on generalized inverses and applied to voltage source inverters
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[1] École Nationale d'Ingénieurs de Tarbes
École Nationale d'Ingénieurs de Tarbes
Arrondissement de Tarbes, Francia
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[2] National Polytechnic Institute of Toulouse
National Polytechnic Institute of Toulouse
Arrondissement de Toulouse, Francia
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- Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 38, Nº 2, 2019, págs. 845-861
- Idioma: inglés
- Enlaces
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Resumen
Purpose – This paper aims to develop a method for a unified model of pulse width modulation (PWM) voltage source inverters (VSI). This generic method, based on a common and easy-to-use carrier-based modulation, allows to generate the exhaustive solution set for a given PWM-VSI.
Design/methodology/approach – The use of the generalized inverse theory is developed to express the PWM solution set for the duty cycle. Indeed, the infinite number of PWM solutions is demonstrated. To explore this solution set, the unified model described exhibits degrees of freedom. The admissible margins to set the degree of freedom are highlighted. Some experimental results are presented.
Findings – It is demonstrated how the degree of freedom can be directly connected with efficiency indicators such as common mode voltage, inverter linearity and switching losses. The expression of the PWM solution set boundaries is clearly expressed.
Research limitations/implications – Further studies should explore how the degree of freedom can be connected with parameters associated with the current (and not the voltage as described in this paper).
Practical implications – The paper includes implications for the development of a more generic approach for PWM multilevel VSI.
Originality/value – This paper fulfils a mathematical frame to ease the expression of PWM scheme.
