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Using Hamiltonians to Model Saturation in Space Vector Representations of AC Electrical Machines
Abstract : An Hamiltonian formulation with complex fluxes and currents is proposed. This formulation is derived from a recent Lagrangian formulation with complex electrical quantities. The complexification process avoids the usual separation into real and imaginary parts and notably simplifies modeling issues. Simple modifications of the magnetic energy underlying standard (α,β) models yield new (α,β) models describing machines with magnetic saturation and saliency. We prove that the usual expression of the electro-mechanical torque (wedge product of fluxes and currents) is related to a rotational invariance characterizing sinusoidal machines.
Cited literature [5 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00555560
Contributor : François Chaplais <>
Submitted on : Thursday, January 13, 2011 - 6:54:16 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Thursday, April 14, 2011 - 2:53:40 AM
Contributor : François Chaplais <>
Submitted on : Thursday, January 13, 2011 - 6:54:16 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Thursday, April 14, 2011 - 2:53:40 AM
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