Decomposition of the compromise objective function in the permanent magnet synchronous motor optimization

2015 ◽  
Vol 34 (2) ◽  
pp. 496-504 ◽  
Author(s):  
Lech Nowak ◽  
Łukasz Knypiński ◽  
Cezary Jedryczka ◽  
Krzysztof Kowalski
Keyword(s):  
Objective Function ◽  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Computer Code ◽  
Synchronous Motor ◽  
Optimization Process ◽  
Field Equations ◽  
Cogging Torque ◽  
Content Type ◽  
Shaft Torque

Purpose – The purpose of this paper is to elaborate an algorithm and the computer code for the optimization of the permanent magnet synchronous motor (PMSM) including the shaft torque, the cogging torque, the total harmonic distortion factor of the back EMF and magnet volume into compromise objective function. Design/methodology/approach – The mathematical model of the device includes the magnetic field equations with the nonlinearity of the magnetic core taken into account. The numerical implementation is based on the finite element method (FEM) and time stepping procedure. The genetic algorithm has been applied for the optimization. The comprehensive computer code containing the FEM model and optimization procedures have been elaborated. Findings – Very important problem at formulating the optimization task is the choice of the functional parameters which constitute the objective and constraint functions. In the paper it has been shown that uncritical constructing the objective function could lead to irrational variants of the designed object. Authors pointed out (Knypiński et al., 2013) that connecting the shaft torque and the cogging torque simultaneously into the one compromise objective function generates ineffective operation of the optimization algorithm and often also leads to the non-optimal result. Originality/value – Authors proved that in case of multi-criterion objective function composed of terms which have very different impact on this function value (i.e. very diverse sensitivity of the objective function for these terms is observed) than the optimization process can be significantly distorted. Therefore, decomposition of the optimization process into two stages has been proposed. Some of the parameters (e.g. cogging torque) have been excluded from the first stage of the process. The two stage algorithm has been successfully implemented and tested on the example of PMSM machine.

Optimization of the synchronous motor with hybrid permanent magnet excitation system

2015 ◽  
Vol 34 (2) ◽  
pp. 448-455 ◽  
Author(s):  
Łukasz Knypiñski ◽  
Lech Nowak ◽  
Andrzej Demenko
Keyword(s):  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Computer Software ◽  
Electric Circuit ◽  
Computer Code ◽  
Synchronous Motor ◽  
Content Type ◽  
Good Convergence ◽  
Design And Optimization ◽  
Neodymium Magnets

Purpose – The purpose of this paper is to elaborate an algorithm and the software for the rotor structure optimization of the permanent magnet synchronous motor (PMSM) with a magnet composed of two materials made with the use of different technologies: sintered Neodymium magnets and powder dielectromagnets. To execute of optimization of selected motor structure using the non-deterministic procedure. Design/methodology/approach – The mathematical model of the devices includes: the equation of the electromagnetic field, the electric circuit equations and equation of mechanical motion. The numerical implementation is based on finite element method and step-by-step algorithm. The genetic algorithm has been applied in the optimization procedures. The computer code has been developed. Findings – The elaborated computer software has been applied for the optimization and design of PMSMs. The elaborated algorithm has been tested and a good convergence has been attained. The parameters of two optimal structures of PMSM motors have been compared. Originality/value – The presented approach and computer software can be successfully applied to the design and optimization of different structure of PMSM with different type of rotors.

Design of a fractional order adaptive controller for velocity control of a permanent magnet synchronous motor

2015 ◽  
Vol 34 (4) ◽  
pp. 1191-1212 ◽  
Author(s):  
Mohammad Tabatabaei
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Feedback Linearization ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Lyapunov Methods ◽  
Velocity Control ◽  
Adaptation Mechanism ◽  
Content Type ◽  
First Time

Purpose – The purpose of this paper is to present a two-loop approach for velocity control of a permanent magnet synchronous motor (PMSM) under mechanical uncertainties. Design/methodology/approach – The inner loop calculates the two-axis stator reference voltages through a feedback linearization method. The outer loop employs an RST control structure to compute the q-axis stator reference current. To increase the robustness of the proposed method, the RST controller parameters are adapted through a fractional order model reference adaptive system (FO-MRAS). The fractional order gradient and Lyapunov methods are utilized as adaptation mechanisms. Findings – The effect of the fractional order derivative in the load disturbance rejection, transient response speed and the robustness is verified through computer simulations. The simulation results show the effectiveness of the proposed method against the external torque and mechanical parameters uncertainties. Originality/value – The proposed FO-MRAS based on Lyapunov adaptation mechanism is proposed for the first time. Moreover, application of the FO-MRAS for velocity control of PMSM is presented for the first time.

Influence of the shape of squirrel-cage bars on the dimensions of permanent magnets in an optimized line-start permanent magnet synchronous motor

2017 ◽  
Vol 36 (1) ◽  
pp. 298-308 ◽  
Author(s):  
Łukasz Knypiński ◽  
Cezary Jedryczka ◽  
Andrzej Demenko
Keyword(s):  
Permanent Magnet ◽  
Permanent Magnets ◽  
Permanent Magnet Synchronous Motor ◽  
Particle Swarm ◽  
Additional Term ◽  
Electric Circuit ◽  
Pso Algorithm ◽  
Synchronous Motor ◽  
Particle Swarm Algorithm ◽  
Content Type

Purpose The purpose of this paper is to compare parameters and properties of optimal structures of a line-start permanent magnet synchronous motor (LSPMSM) for the cage winding of a different rotor bar shape. Design/methodology/approach The mathematical model of the considered motor includes the equation of the electromagnetic field, the electric circuit equations and equation of mechanical equilibrium. The numerical implementation is based on finite element method (FEM) and step-by-step algorithm. To improve the particle swarm optimization (PSO) algorithm convergence, the velocity equation in the classical PSO method is supplemented by an additional term. This term represents the location of the center of mass of the swarm. The modified particle swarm algorithm (PSO-MC) has been used in the optimization calculations. Findings The LSPMSM with drop type bars has better performance and synchronization parameters than motors with circular bars. It is also proved that the used modification of the classical PSO procedure ensures faster convergence for solving the problem of optimization LSPMSM. This modification is particularly useful when the field model of phenomena is used. Originality/value The authors noticed that to obtain the maximum power factor and efficiency of the LSPMSM, the designer should take into account dimensions and the placement of the magnets in the designing process. In the authors’ opinion, the equivalent circuit models can be used only at the preliminary stage of the designing of line-start permanent magnet motors.

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