A Method for Optimization of Five-Phase Induction Machines Based on Genetic Algorithms
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A Method for Optimization of Five-Phase Induction Machines Based on Genetic Algorithms Sérgio Haffner1 · Luís A. Pereira1 · Luís F. A. Pereira1
Received: 29 March 2015 / Revised: 18 May 2015 / Accepted: 20 June 2015 / Published online: 16 July 2015 © Brazilian Society for Automatics–SBA 2015
Abstract The optimization of five-phase induction machines is addressed using a new procedure based on genetic algorithms. A constrained optimization model is introduced which considers the main machine dimensions as free variables. Number of stator and rotor slots, winding pitch, and rotor bar inclination angle are among the free design variables. In addition, the relationship between fundamental and third harmonic component of the airgap induction is also considered as a free variable. This relationship is used to shape the airgap induction making it near to a trapezoid, thus potentially increasing the output torque. The underlying machine model used in the optimization process is detailed in previous works and includes the effect of losses and saturation on the steady state performance. Thus, a mixed-integer optimization problem is defined, in which the continuous variables are codified as integer variables making the optimization problem easier to solve. Three objective functions are defined and tested: efficiency, cost of conductor material, and a weighted combination of efficiency and material costs; other objective functions can be defined, too. The proposed method was applied to the optimization of a 5.5-kW prototype machine, and the results are presented and discussed. Keywords Induction machine · High-phase machine · Induction machine design · Induction machine optimization
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Sérgio Haffner [email protected] Luís A. Pereira [email protected] Luís F. A. Pereira [email protected]
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Electrical Engineering Graduate Program of Federal University of Rio Grande do Sul (UFRGS), Porto Alegre CEP 90035-190, Brazil
1 Introduction Induction machines have widely been used in virtually all kinds of application due their excellent characteristics in terms of robustness, low maintenance, production costs, and high overload capacity. Furthermore, squirrel cage induction machines are very well suited for operation in explosive atmosphere and other hazard areas, where other types of machines cannot be applied. When fed from a high-efficiency power converter, they become suitable for applications requiring accurate speed, torque, or position control. Thus, they are nowadays able to replace the dc machine in almost any kind of application. In the last two decades, the interest on induction machines with high number of phases—i.e., machines with more than three phases—has increased considerably. This is due the fact that this type of machine, when fed by a static inverter, can present several relevant advantages when compared to conventional three-phase machines. The most outstanding of these advantages are: improved torque/volume relation, fault tolerance, and higher degree of active material utilization. However, some of these a
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