Application of a PSO algorithm for identification of the parameters of Jiles-Atherton hysteresis model

Knypiński, Łukasz; Nowak, Lech; Sujka, P.; Radziuk, K.

doi:10.2478/v10171-012-0013-3

Cited by 16 publications

(10 citation statements)

References 19 publications

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“…To determine the number of particles in the swarm and values of PSO factors (w 1 , c 1 , c 2 ) authors utilized their experience gained in the solution of other optimization tasks using PSO algorithm (Knypiński et al, 2009(Knypiński et al, , 2012. The calculations have been performed dozen times for different starting population.…”

Section: Resultsmentioning

confidence: 99%

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Optimization of the rotor geometry of the line-start permanent magnet synchronous motor by the use of particle swarm optimization

Knypiński

Nowak

Jędryczka

2015

COMPEL

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Purpose -The purpose of this paper is to elaborate the methodology and software for the optimization of rotor structure of the line-start permanent magnet synchronous motor (LSPMSM). To prove usefulness of presented approach the case study problem has been solved. Design/methodology/approach -The modified particle swarm optimization (PSO) algorithm has been employed for the optimization of LSPMSM. The optimization solver has been elaborated in Delphi environment. The software consists of two modules: an optimization solver and a numerical model of LSPMSM. The model of the considered machine has been developed in the ANSYS Maxwell environment. In the optimization procedure the objective function has been based on maximizing efficiency and power factor. Findings -Obtained results show that modified PSO algorithm can be successfully applied for the optimization of the rotor structure of LSPMSM. This software can be used as a design tool to improve the performance of LSPMSM. The results of studied case problem illustrate that it is possible to optimize rotor of LSPMSM to achieve good self-starting properties with simultaneous minimization of usage of permanent magnet material. Research limitations/implications -Both, the simpler lumped parameters model and more advanced field model of the motor were tested. Presented comparison to the results of the finite element analysis (FEA) shows that for considered in the paper the case study problem the accuracy of circuit model is acceptable. Practical implications -Presented approach and developed software can be used as an effective design tool to improve the performance of LSPMSM. Originality/value -The paper offers appropriate approach for optimizing the permanent magnet synchronous motors having ability to start by direct connection to the grid.

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Section: Resultsmentioning

confidence: 99%

“…These variables form the design variable vector z ¼ [l m g m r m z s ] T . In the studied algorithm the variables z have been transformed into dimensionless quantities s according to the formula (Knypiński et al, 2012):…”

Section: Startmentioning

confidence: 99%

Optimization of the rotor geometry of the line-start permanent magnet synchronous motor by the use of particle swarm optimization

Knypiński

Nowak

Jędryczka

2015

COMPEL

Self Cite

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“…After a number of iterations the optimal solution, indicated by swarming candidates, is determined. PSO has been applied for estimation of JA model parameters by Marion et al [28] and Knypiński et al [29].…”

Section: Comparison Of Different Estimation Techniquesmentioning

confidence: 99%

A Comparison of Different Estimation Methods for Hysteresis Modelling

et al. 2017

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The paper focuses on the estimation techniques for a low-dimensional phenomenological model of ferromagnetic hysteresis proposed by the Brazilian research group GRUCAD. The description is expressed with an ordinary differential equation and some auxiliary relationships. It describes both irreversible and reversible magnetization processes and addresses some problems inherent in the well-known Jiles-Atherton model. It is found that the differential evolution method is the most competitive technique for recovery of optimal model parameters.

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“…It was reported in Jędryczka et al (2009) that the J-M model has been successfully utilized to simulate of coupled electromagnetic, fluid dynamic, and motion phenomena. This model can be used in FEM calculations (Gyselinck et al, 2004) and recently, an algorithm and computer code was presented (Knypiński et al, 2012) to effectively determine several parameters of the J-A model.…”

Section: Introductionmentioning

confidence: 99%

Representation of magnetic hysteresis in a circuit model of a single-phase transformer

Wilk

2015

COMPEL

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Purpose -The paper presents a mathematical model for the hysteresis phenomenon in a multi-winding single-phase core type transformer. The set of loop differential equations was developed for Kth winding transformer model where the flux linkages of each winding includes a flux common Φ to all windings as function of magneto motive force Θ of all windings. The purpose of this paper is to first determine a hysteresis nonlinearity involved in Φ(Θ) function using modified Preisach theory and second to develop new analytical formula of Preisach distribution function (PDF). Design/methodology/approach -It is assumed in this paper that flux linkage characteristics Ψ(i) of each winding have nonlinear component due to the magnetization characteristic of the steel core and sum of linear components due to the self and mutual leakage fluxes. This nonlinear component of Ψ(i) characteristic can be expressed as a flux common Φ to all windings vs ampere-turns Θ of all windings. The nonlinear flux linkage characteristics Ψ(i) of the tested transformer are calculated from the set of measured terminal voltages and terminal currents. To simulate magnetic behavior of the iron core the feedback scalar Preisach model of hysteresis is proposed which gives more accurate predictions than classical model. For this hysteresis model the PDF and feedback function are needed. The intend of this paper is to find these function as an analytical formulas which are convenient for numerical simulations. For identification of the PDF and feedback function parameters of the considered iron core of tested transformer the Levenberg-Marquardt optimization algorithm was used. Findings -The flux common to all windings is calculated by integrating the induced voltages of the appropriate windings. In this paper the PDF is proposed as a functional series including two dimensional Gauss expressions. In order to proper approximation of hysteresis nonlinearity of the tested iron core the first three terms of functional series of the PDF have been used. In the optimization algorithm only initial and descending limiting hysteresis curves Φ(Θ) were utilized. The feedback function for proposed hysteresis model is assumed as third-order polynomial. The hysteresis model has been successfully validated by comparing the calculated and measured results of Φ(Θ) hysteresis curves. This hysteresis model can be used in transient and steady state simulations of tested transformer taking into account the hysteresis phenomenon. The developed hysteresis model can be also used for analysis of the influence of remnant flux on the operation of tested transformer especially in transient states. Originality/value -In this paper the feedback Preisach hysteresis model is involved in the flux common to all windings vs ampere-turns of all windings. The new PDF is proposed as functional series including two dimensional Gauss expressions. For tested transformer the three first terms of this functional series may be used for proper approximation of hysteresis nonlinearities.

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Application of a PSO algorithm for identification of the parameters of Jiles-Atherton hysteresis model

Cited by 16 publications

References 19 publications

Optimization of the rotor geometry of the line-start permanent magnet synchronous motor by the use of particle swarm optimization

Optimization of the rotor geometry of the line-start permanent magnet synchronous motor by the use of particle swarm optimization

A Comparison of Different Estimation Methods for Hysteresis Modelling

Representation of magnetic hysteresis in a circuit model of a single-phase transformer

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