Mathematical Relationships of Linearized Modeling Methods of AC Power Electronic Systems
作者： Yicheng Liao , xiongfei wang
DOI: 10.36227/TECHRXIV.13634072.V2
关键词: Frequency domain 、 AC power 、 Time domain 、 Phasor 、 Linearization 、 Topology 、 Grid 、 Reference frame 、 Harmonic 、 Computer science
摘要: The harmonic state-space, the dynamic phasor, and generalized dq modeling are three methods developed for linearization of ac power electronic systems. This paper reveals explicitly mathematical relationships between in both time and frequency domain. Representations linearized models different reference frames from domain to frequency domain, as well their transformations elaborated step by step. Case studies on a three-phase voltage-source converter that is connected an unbalanced grid verify theoretical findings.
techrxiv.org
sci-hub.st 参考文章(31)
Norman M Wereley, Analysis and control of linear periodically time varying systems Massachusetts Institute of Technology. ,(1990)
Bo Wen, Dushan Boroyevich, Rolando Burgos, Paolo Mattavelli, Zhiyu Shen, Analysis of D-Q Small-Signal Impedance of Grid-Tied Inverters IEEE Transactions on Power Electronics. ,vol. 31, pp. 675- 687 ,(2016) , 10.1109/TPEL.2015.2398192
Erik Mollerstedt, Bo Bernhardsson, Out of control because of harmonics-an analysis of the harmonic response of an inverter locomotive IEEE Control Systems Magazine. ,vol. 20, pp. 70- 81 ,(2000) , 10.1109/37.856180
J.M. Undrill, T.E. Kostyniak, Subsynchronous oscillations part 1 ߞ comprehensive system stability analysis IEEE Transactions on Power Apparatus and Systems. ,vol. 95, pp. 1446- 1455 ,(1976) , 10.1109/T-PAS.1976.32240
Yan Yi n, R. Zane, J. Glaser, R.W. Erickson, Small-signal analysis of frequency-controlled electronic ballasts IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 50, pp. 1103- 1110 ,(2003) , 10.1109/TCSI.2003.815227
R. D. Middlebrook, Slobodan Cuk, A general unified approach to modelling switching-converter power stages power electronics specialists conference. pp. 18- 34 ,(1976) , 10.1109/PESC.1976.7072895
S.R. Sanders, J.M. Noworolski, X.Z. Liu, G.C. Verghese, Generalized averaging method for power conversion circuits power electronics specialists conference. ,vol. 6, pp. 251- 259 ,(1990) , 10.1109/63.76811
L. Harnefors, Modeling of Three-Phase Dynamic Systems Using Complex Transfer Functions and Transfer Matrices IEEE Transactions on Industrial Electronics. ,vol. 54, pp. 2239- 2248 ,(2007) , 10.1109/TIE.2007.894769
J Jesus Rico, Manuel Madrigal, Enrique Acha, Dynamic harmonic evolution using the extended harmonic domain IEEE Transactions on Power Delivery. ,vol. 18, pp. 587- 594 ,(2003) , 10.1109/TPWRD.2003.809731
D. Maksimovic, A.M. Stankovic, V.J. Thottuvelil, G.C. Verghese, Modeling and simulation of power electronic converters Proceedings of the IEEE. ,vol. 89, pp. 898- 912 ,(2001) , 10.1109/5.931486