Abstract :
This paper presents the state space-vector dynamic model of the linear induction motor (LIM) taking into consideration the dynamic end effects. Starting from the space-vector equivalent circuit of the LIM, the complete set of space-vector equations has been deduced. Afterward, first the so-called voltage and current flux models have been written, from which the complete state space-vector representation has been given. The complete thrust expression including the end-effect braking force has also been introduced in the model. The complete state space-vector model, electromagnetic and mechanical part, has been implemented in numerical simulation and has been validated by comparing the results with those obtainable with a finite-element analysis and experiments. Results show that, even with a machine with a limited presence of the dynamic end effects, the adoption of a this model permits a better estimation of both the electric quantities, e.g., inductor current, and the mechanical quantities, e.g., linear speed, with respect to the classic rotating induction motor model.
Keywords :
equivalent circuits; finite element analysis; linear induction motors; power inductors; current flux; dynamic end effects; electromagnetic part; finite element analysis; inductor current; linear induction motors; linear speed; mechanical part; mechanical quantity; numerical simulation; space vector equations; space-vector equivalent circuit; space-vector representation; state space-vector dynamic model; thrust expression; voltage flux; Air gaps; Equations; Induction motors; Inductors; Integrated circuit modeling; Mathematical model; Vectors; End effects; linear induction motor (LIM); space vector; state model;
