Principle of multi-time scale order reduction and its application in AC/DC hybrid power systems

作者: Fan Ma , Lijun Fu

DOI:

关键词: Pulse-width modulationEigenvalue perturbationSteady stateMatrix (mathematics)Singular perturbationConvertersReduction (complexity)Hybrid powerControl theoryMathematics

摘要: Based on singular perturbation theory and matrix eigenvalue theorem, an order reduction principle of neglecting fast dynamics fixing slow is proposed for multi-time scale systems. The can ensure steady state stability consistency between original reduced system. To validate this principle, the switch cycle average models typical converters are made, a simple AC/DC hybrid power system built. Finally, test by simulation results demonstrate effective applicable analysis

参考文章(7)
Thierry Van Cutsem, Costas Vournas, Voltage Stability of Electric Power Systems ,(1998)
James R. Winkelman, Joe H. Chow, John J. Allemong, Petar V. Kokotovic, Multi-time-scale analysis of a power system Automatica. ,vol. 16, pp. 35- 43 ,(1980) , 10.1016/0005-1098(80)90084-9
Ali Davoudi, Juri Jatskevich, Parasitics Realization in State-Space Average-Value Modeling of PWM DC–DC Converters Using an Equal Area Method IEEE Transactions on Circuits and Systems. ,vol. 54, pp. 1960- 1967 ,(2007) , 10.1109/TCSI.2007.904686
P.W. Sauer, S. Ahmed-Zaid, P.V. Kokotovic, An integral manifold approach to reduced order dynamic modeling of synchronous machines IEEE Transactions on Power Systems. ,vol. 3, pp. 17- 23 ,(1988) , 10.1109/59.43175
Ali Davoudi, Juri Jatskevich, Tom De Rybel, Numerical state-space average-value modeling of PWM DC-DC converters operating in DCM and CCM IEEE Transactions on Power Electronics. ,vol. 21, pp. 1003- 1012 ,(2006) , 10.1109/TPEL.2006.876848
P. W. Lehn, Exact Modeling of the Voltage Source Converter IEEE Power & Energy Magazine. ,vol. 17, pp. 217- 222 ,(2001) , 10.1109/MPER.2001.4311178
Yong Chen, Yongqiang Liu, Summary of Singular Perturbation Modeling of Multi-time Scale Power Systems ieee/pes transmission and distribution conference and exposition. pp. 1- 4 ,(2005) , 10.1109/TDC.2005.1546882