HARMONIC DOMAIN MODEL OF AN OPEN-LOOP CONTROLLED PWM CONVERTER
Malte John
malte.john@ial.uni-hannover.deLeibniz Universität Hannover, Institute for Drive Systems and Power Electronics (Germany)
Axel Mertens
Leibniz Universität Hannover, Institute for Drive Systems and Power Electronics (Germany)
Abstract
An harmonic domain model is developed for open-loop controlled voltage source inverters, which provides the steady-state solution for integer multiples of the fundamental frequency. The convolution of the switching function spectrum with the converter currents and voltages is used to describe the coupling of the AC side and the DC side. The modeling is based on a single phase leg and is extended to a single-phase and a three-phase voltage source inverter, which results in a non-linear algebraic equation system. For open-loop control the switching function is independent of the converter currents and voltages and the model is simplified to a linear equation system. This straightforward and fast model is verified by time domain simulations and experimental results. The modeling can be adapted to systems of coupled converters, which is presented for a back-to-back converter system showing the harmonic interaction of the connected subsystems.
Keywords:
frequency-domain analysis, power conversion harmonicsReferences
Arrillaga J., Watson N.R.: The Harmonic Domain revisited. 13th International Conference on Harmonics and Quality of Power, 2008.
Google Scholar
Bierhoff M.H., Fuchs F.W.: DC-Link Harmonics of Three-Phase Voltage-Source Converters Influenced by the Pulsewidth-Modulation Strategy–An Analysis. IEEE Transactions on Industrial Electronics. 55(5)/2008, 2085–2092.
Google Scholar
Black H.S.: Modulation Theory. Van Nostrand, Princeton 1953.
Google Scholar
Chang G.W., Chen S.K., Su H.J., Wang P.K.: Accurate Assessment of Harmonic and Interharmonic Currents Generated by VSI-Fed Drives Under Unbalanced Supply Voltages. IEEE Transactions on Power Delivery 26(2)/2011, 1083–1091.
Google Scholar
Chierchie F., Stefanazzi L., Paolini E.E., Oliva A.R.: Frequency Analysis of PWM Inverters With Dead-Time for Arbitrary Modulating Signals. IEEE Transactions on Power Electronics 29(6)/2014, 2850–2860.
Google Scholar
Collins C.D., Bathurst G.N., Watson N.R., Wood A.R.: Harmonic domain approach to STATCOM modelling. Transmission and Distribution IEE Proceedings - Generation 152(2)/2005, 194–200.
Google Scholar
Holmes G., Lipo T.A.: Pulse Width Modulation for Power Converters: Principles and Practice. Wiley-IEEE Press, 2003.
Google Scholar
McGrath B.P., Holmes D.G.: A General Analytical Method for Calculating Inverter DC-Link Current Harmonics. IEEE Transactions on Industry Applications 45(5)/2009, 1851–1859.
Google Scholar
Nduka O.S., Pal B.C.: Harmonic Domain Modeling of PV System for the Assessment of Grid Integration Impact. IEEE Transactions on Sustainable Energy 8(3)/2017, 1154–1165.
Google Scholar
Smith B.C., Watson N.R., Wood A.R., Arrillaga J.: Steady state model of the AC/DC convertor in the harmonic domain. IEE Proceedings - Generation, Transmission and Distribution 142(2)/1995, 109–118.
Google Scholar
Song Z., Sarwate D.V.: The frequency spectrum of pulse width modulated signals. Signal Processing 83(10)/2003, 2227–2258.
Google Scholar
Yue X., Zhuo F., Yang S., Pei Y., Yi H.: A Matrix-Based Multifrequency Output Impedance Model for Beat Frequency Oscillation Analysis in Distributed Power Systems. In IEEE Journal of Emerging and Selected Topics in Power Electronics 4(1)/2016, 80–92.
Google Scholar
Authors
Malte Johnmalte.john@ial.uni-hannover.de
Leibniz Universität Hannover, Institute for Drive Systems and Power Electronics Germany
Authors
Axel MertensLeibniz Universität Hannover, Institute for Drive Systems and Power Electronics Germany
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