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

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 i...

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Main Authors: Malte John, Axel Mertens
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/21/5823
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author Malte John
Axel Mertens
author_facet Malte John
Axel Mertens
author_sort Malte John
collection DOAJ
description 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.
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spelling doaj.art-0d63e5c9359b42a8ba5b82a8ec28aba72023-11-20T20:05:27ZengMDPI AGEnergies1996-10732020-11-011321582310.3390/en13215823Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop ControlMalte John0Axel Mertens1Institute for Drive Systems and Power Electronics, Leibniz University of Hannover, 30169 Hannover, GermanyInstitute for Drive Systems and Power Electronics, Leibniz University of Hannover, 30169 Hannover, GermanyPower 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.https://www.mdpi.com/1996-1073/13/21/5823harmonic analysispower converterspulse-width modulation (PWM)frequency-domain modelvoltage-source inverter (VSI)closed-loop control
spellingShingle Malte John
Axel Mertens
Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop Control
Energies
harmonic analysis
power converters
pulse-width modulation (PWM)
frequency-domain model
voltage-source inverter (VSI)
closed-loop control
title Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop Control
title_full Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop Control
title_fullStr Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop Control
title_full_unstemmed Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop Control
title_short Frequency-Domain Modeling of Harmonic Interactions in Voltage-Source Inverters with Closed-Loop Control
title_sort frequency domain modeling of harmonic interactions in voltage source inverters with closed loop control
topic harmonic analysis
power converters
pulse-width modulation (PWM)
frequency-domain model
voltage-source inverter (VSI)
closed-loop control
url https://www.mdpi.com/1996-1073/13/21/5823
work_keys_str_mv AT maltejohn frequencydomainmodelingofharmonicinteractionsinvoltagesourceinverterswithclosedloopcontrol
AT axelmertens frequencydomainmodelingofharmonicinteractionsinvoltagesourceinverterswithclosedloopcontrol