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This article is focused on the analytic definition of the dc-link current of a dual-inverter. Therefore, a two-level dual-inverter for driving two independent three-phase electrical motors is considered. Space-vector modulation is taken into account as the modulation method of the inverter. Based on that, an analytic description is derived for the frequency spectrum as well as for the rms value of the dc-link current of a dual-inverter. Contrary to the current definitions known from previous publications, the expressions presented below are defined in solved form. Therefore, the use of integral or differential equation expressions is not necessary. In this way, a basis is created for calculating the dc-link current without computationally intensive numerical integration processes or SPICE simulations. Furthermore, this article includes the metrological verification of the novel expressions. The results discussed in this publication provide the basis for stabilizing the HV-dc system and for minimizing the dc-link capacitor load. Thus, they enable the dc-link capacitor of a dual-inverter to be downsized. Based on the presented definition of the dc-link current in solved form, the possibility of real-time optimization is created. Furthermore, the results outlined in this article form the foundation to derive the control optimization for a multiphase inverter.

Analytical Calculation of the RMS Value and the Spectrum of the DC-Link Current of a Dual-Inverter