TY - JOUR

T1 - Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop Control

AU - John, Malte

AU - Mertens, Axel

N1 - Funding Information: Funding: This research was funded in part by the Volkswagen Foundation’s grant “Niedersächsisches Vorab 2014” within the project AMSES (Aggregated Models for the Simulation of Electromechanical Power Systems). The publication of this article was funded by the Open Access Fund of Leibniz Universität Hannover.

PY - 2020/11/6

Y1 - 2020/11/6

N2 - Power electronic converters, together with their loads, sources, and controls, form a coupled system that includes many nonlinear interactions, for instance due to pulse-width modulation (PWM) and feedback control. In this paper we develop a complete, nonlinear modeling approach for voltage-source inverters in the frequency domain, taking into account the harmonic components introduced into the system from the inputs and from the nonlinear digital PWM. The most important contribution is a method for analyzing how these harmonics propagate through the nonlinear system in steady state. To enable this, an analytic model of PWM with arbitrary, multiple-frequency input is necessary. A revised model of Asymmetrical regularly-sampled double-edge PWM (AD-PWM) is proposed and its incorporation into the system model regarding sampling effects is discussed. The resulting nonlinear equation system is numerically and simultaneously solved, yielding the spectra of all relevant signals in the converter. The results are validated with time-domain simulations and with measurements, proving the effectiveness of the proposed approach.

AB - Power electronic converters, together with their loads, sources, and controls, form a coupled system that includes many nonlinear interactions, for instance due to pulse-width modulation (PWM) and feedback control. In this paper we develop a complete, nonlinear modeling approach for voltage-source inverters in the frequency domain, taking into account the harmonic components introduced into the system from the inputs and from the nonlinear digital PWM. The most important contribution is a method for analyzing how these harmonics propagate through the nonlinear system in steady state. To enable this, an analytic model of PWM with arbitrary, multiple-frequency input is necessary. A revised model of Asymmetrical regularly-sampled double-edge PWM (AD-PWM) is proposed and its incorporation into the system model regarding sampling effects is discussed. The resulting nonlinear equation system is numerically and simultaneously solved, yielding the spectra of all relevant signals in the converter. The results are validated with time-domain simulations and with measurements, proving the effectiveness of the proposed approach.

KW - harmonic analysis

KW - power converters

KW - pulse-width modulation (PWM)

KW - frequency-domain model

KW - voltage-source inverter (VSI)

KW - closed-loop control

KW - Power converters

KW - Pulse-width modulation (PWM)

KW - Frequency-domain model

KW - Harmonic analysis

KW - Voltage-source inverter (VSI)

KW - Closed-loop control

UR - http://www.scopus.com/inward/record.url?scp=85102307394&partnerID=8YFLogxK

U2 - 10.3390/en13215823

DO - 10.3390/en13215823

M3 - Article

VL - 13

JO - Energies

JF - Energies

SN - 1996-1073

IS - 21

M1 - 5823

ER -