Accounting for Slot Harmonics and Nonsinusoidal Unbalanced Voltage Supply in High-Speed Solid-Rotor Induction Motor Using Complex Multi-Harmonic Finite Element Analysis

Abstract

Solid rotor induction machines are still used in high-speed systems. A two-dimensional field-circuit model based on the finite element method and the complex magnetic vector potential has been shown as a very time-effective tool in the analysis of their steady states compared to time-domain models. This continuation work presents a validated computational algorithm that enables the inclusion of the nonsinusoidal and/or asymmetrical voltage supply in the multi-harmonic field-circuit model of these machines that was presented in the previous works by the authors. The extended model accounts for both spatial harmonics due to slotting and/or winding distribution and the time-harmonics due to voltage waveform. The applicability range of the model therefore increases to cases when the machine is supplied with a nonsinusoidal three-phase system of voltages with symmetry or asymmetry that can be decomposed into three symmetrical components. Its short execution time characteristic allows for much more insightful design studies of the contribution of voltage supply- and slotting-related harmonics to the overall efficiency of the machine than is possible with the time-consuming time-domain models. The proposed computational framework has never been presented in the literature. The model is verified positively by the comprehensive time-domain model. It is especially useful in design studies on solid rotor induction motors related to the optimisation of the efficiency of induction motor-based drive systems.

The Performance of Induction Machines

“…Eleven scientific papers were collected in this Special Issue [1][2][3][4][5][6][7][8][9][10][11]. These papers concern many aspects of the theory, design, control, optimization, supervision, and use of induction machines (IMs).…”

“…Garbiec and Jagiela [8] have presented a validated computational algorithm that enables the inclusion of the nonsinusoidal or asymmetrical voltage supply in the multiharmonic field-circuit model of IM. The development of the strongly coupled multiharmonic field model concept effectively accounted for the nonlinearity and asymmetry of the voltage supply in the calculation of the operating characteristics of a high-speed IM with a solid rotor in a steady-state complex-valued finite element modeling framework.…”

Finite element analysis and experimental verification of high reliability synchronous reluctance machine

“…Numerical models exploiting FEM are also applied to study of electromagnetic phenomena in electrical machines. The field and field circuit models exploiting FEM have been successfully applied in analysis and synthesis of many different types of electromechanical transducers, as induction [3,8] and synchronous machines [4,25], switched reluctance motors [35],…”