Euler-Lagrange Models With Complex Currents of Three-Phase Electrical Machines and Observability Issues

A new Lagrangian formulation with complex currents is developed and yields a direct and simple method for modeling three-phase permanent-magnet and induction machines. The Lagrangian is the sum a mechanical one and of a magnetic one. This magnetic Lagrangian is expressed in terms of rotor angle, com...

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Veröffentlicht in:	IEEE transactions on automatic control 2010-01, Vol.55 (1), p.212-217
Hauptverfasser:	Basic, D., Malrait, F., Rouchon, P.
Format:	Artikel
Sprache:	eng
Schlagworte:	A.c. Machines Applied sciences Automatic Automatic control Computer science control theory systems Control theory. Systems Current measurement Dynamical systems Electric potential Electrical engineering. Electrical power engineering Electrical machines Electrodynamics Engineering Sciences Equations Exact sciences and technology Induction machine Induction machines Lagrangian functions Lagrangian with complex coordinates Magnetic induction Magnetic saturation Magnetic separation Mathematical models Modelling and identification Motion control Motors Observability permanent-magnet machine Rotors Saturation magnetization Sensorless control space-harmonics Stators
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