Jiles atherton model offers an accurate mathematical approach for modeling the magnetic power loss in this kind of machine, over a wide range of magnetic working frequencies and flux densities. This case is used to illustrate the effects of ct saturation. Effective and robust method of determination of jilesatherton models parameters is one of the. For this purpose the equations of the jiles atherton jamodel1areused,obtainingthefollowingsimulatedmagnetizationcurves. The hysteresis model is simulated utilizing matlabsimulink. The difference between positivegoing and negativegoing curves is due to the dependence of m on the trajectory history. The majorcurveisgivenbytwoequations,asitwillbeseen insect. Current transformer, jilesatherton, matlab, saturation, fast fourier. This example shows how modifying the equation coefficients of the jilesatherton magnetic hysteresis equations affects the resulting bh curve. The plots below show how the individual jiles atherton hysteresis coefficients affect the hysteresis curve for a nonlinear inductor. As the field strength increases, the plot tends to the positivegoing hysteresis curve. Modeling and simulation of transformer under dc bias based on. Note that the first attempts in using ga for the parametric identification of the jiles atherton model exploit a binary codification 8,333, but the applications based on real codification soon.
Only two bh curves are needed for any given bmax to simulate the dynamic properties of the selected laminated steel. Simulink model for pwmsupplied laminated magnetic cores. Jiles and atherton and commonly referred to as the jiles atherton theory of ferromagnetic hysteresis. Pdf modeling of frequency effects in a jilesatherton. Modified jilesathertonsablik model for asymmetry in. Modeling current transformer ct saturation for detailed. Starting from maxwell equations, eddycurrent losses in. These developed models have been extensively tested with field recordings in collaborations with ct, relay and protection equipment vendors. A transformer model based on the jilesatherton theory of.
Persistent persistent r, c can be declared and used only in functions. The static jilesatherton parameters are extracted by the pso method in the. Mathematical model for current transformer based on jiles. Dynamic jilesatherton model for determining the magnetic power.
Simulink, systems are drawn on screen as block diagrams. Pdf real coded genetic algorithm for jilesatherton. In this paper, the jiles atherton sablik model has been modified by the incorporation. An extension of the jiles atherton ja magnetic hysteresis model is proposed in the paper. In this case the magnetization starts as zero, and hence the plot starts at b h 0. A novel threephase transformer hysteresis model in matlab tm simulink. Simulink is integrated with m atlab and data can be easily transferred between the programs. Scripts share local variables with functions they call and with the base workspace. Pdf modeling magnetic components for simulation in electric circuits. Matlab and octave code for benchmarking of calculation of jiles atherton model of hysteresis loops for anisotropic materials. The previous classical jiles atherton sablik model has some limitations in describing the asymmetry in magnetic behavior under tensile and compressive stress.
Jiles atherton model 163 inductor coupling model parameters 163 including airgap effects in the inductor coupling model 164 getting core inductor coupling model values 165 transmission line coupling 165 example 166 lossy lines 166 references 167 inductor 168 capture parts 169 breakout parts 170 inductor equations 171. Many elements of block diagrams are available such as transfer functions, summing junctions, etc. Simulink tutorial tutorial 5 how to add viewers and modify their. This paper shows how to extract optimal parameters for the jilesatherton model. A robust magnetomechanical effect model is desirable for the measurement of magnetic properties in the evaluation of stress in ferromagnetic materials.
Dynamic jiles atherton model for determining the magnetic. The starting point for the jilesatherton equation is to split the magnetization effect into two parts, one that is purely a function of effective field strength heff and. Pdf numerical determination of jilesatherton model parameters. Pulse width modulated pwm converter voltage quality and its relation to the core losses was discussed in 22. Global global speedoflight shared by functions, scripts, and base workspace. Dynamic jilesatherton model for determining the magnetic. Determination of jilesatherton model parameters using differential.
On the basic, the transformer dc bias model based on the jilesatherton theory is established on matlab simulation platform. Pdf optimizing the jilesatherton model of hysteresis by a. The physical ja model has been substituted with the specially chosen mathematical chua model. The model is simulated with a nominal set of jiles atherton hysteresis equation coefficients, and then reruns the model with perturbations applied to each coefficient individually.
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