Journal
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 62, Issue 9, Pages 5393-5401Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2015.2414391
Keywords
Discrete-time systems; induction motors (IMs); mathematical model
Ask authors/readers for more resources
This paper deals with the discrete-time modeling of induction motors (IMs) by means of a variational integrator. A Lagrangian is first formulated for the IM, where the corresponding discrete Lagrangian is derived based on the one-point quadrature rule integration method (in this case, the variational integrator is known as symplectic Euler). Then, a discrete action principle is applied, which guarantees the optimum path in a discrete-time setting. The forcing and dissipation are added by using the discrete Lagrange d'Alembert principle. Finally, discrete-time update rules are obtained for IMs. Then, theoretic properties such as relative degree and steady state are studied for the continuous-time symplectic Euler and explicit Euler models. Simulations are carried out for different sampling periods, where results are compared with a discrete-time model obtained with the classical explicit Euler method. It is put in evidence that the symplectic Euler model approximates better the IM dynamics than the model obtained with the classical Euler method.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available