Modeling method for power electronic system based on Hamilton principle of analytical mechanics

Traditional modeling method for power electronic system is limited in application and strictly depends on system topology structure. Therefore, utilizing the analogical relation of physical quantities between mechanical system and power electronic system, this paper presents a modeling method based on Hamilton principle of analytical mechanics for power electronic system. The method is not only more systematic, but also has clear physical concept and wide application range towards the above disadvantages existing in the traditional modeling method. Meanwhile, the paper illustrates this modeling procedure, taking three-phase voltage-source PWM rectifier which has wide application in the power electronic field as an example. Moreover, design method of power electronic system controller based on Hamilton principle is presented and has been experimentally verified for PWM rectifier since it is convenient to design the system controller in terms of energy using the Hamilton modeling method. Simulation experiment results show that the designed PWM rectifier control system has better steady and dynamic performance.

[1]  Romeo Ortega,et al.  A Hamiltonian viewpoint in the modeling of switching power converters , 1999, Autom..

[2]  Dushan Boroyevich,et al.  Novel reduced-order small-signal model of a three-phase PWM rectifier and its application in control design and system analysis , 1996 .

[3]  Enric Fossas,et al.  Robust controller for a full-bridge rectifier using the IDA approach and GSSA modeling , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Romeo Ortega,et al.  Passivity-based Control of Euler-Lagrange Systems , 1998 .

[5]  Itzhak Green.  On the kinematics and kinetics of mechanical seals, rotors, and wobbling bodies , 2008 .

[6]  Guoqiang Hu,et al.  Energy-Based Nonlinear Control of Underactuated Euler-Lagrange Systems Subject to Impacts , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[7]  Arjan van der Schaft,et al.  Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems , 2002, Autom..

[8]  P. Lehn,et al.  Harmonic Analysis of a Three-Phase Diode Bridge Rectifier Based on Sampled-Data Model , 2008, IEEE Transactions on Power Delivery.

[9]  Yuze Sun,et al.  Hamiltonian modelling and nonlinear disturbance attenuation control of TCSC for improving power system stability , 2002 .

[10]  H. Sira-Ramirez,et al.  Passivity-based control of switched reluctance motors with nonlinear magnetic circuits , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[11]  R. Ortega.  Passivity-based control of Euler-Lagrange systems : mechanical, electrical and electromechanical applications , 1998 .