Representation of magnetic characteristic, including hysteresis, by exponential series

Teape, J.W.; Simpson, R.R.S.; Slater, R.D.; Wood, W.S.

doi:10.1049/piee.1974.0235

Cited by 12 publications

(9 citation statements)

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“…Moreover, such a function should be mathematically simple for easy application. There is a wide literature on approximation for magnetisation curves and many equations have been reported [27][28][29][30][31][32][33][34][35][36][37] such as approximations by polynomial, power series, transcendental functions, Fourier series, by hyperbolas in the form of Froelich's equation, by the two-component expression based on the Brillouin equation and the Rayleigh model. Trutt et al [30] found that the approximations of such formulae were valid only for certain ranges of the curve.…”

Section: Curve Fitting Of the Magnetisation Characteristicsmentioning

confidence: 99%

Design‐based computational procedure for performance prediction and analysis of single‐phase self‐excited induction generator

Murthy

Singh

Vuddanti

2013

IET Electric Power Applications

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The study presents a design-based computational procedure for determining the performance of a single-phase twowinding self-excited induction generator (SEIG) taking the machine design details as the input data. The magnetisation characteristic that forms the basis of analysis is obtained using the B-H curve of the core material and by employing an appropriate curve-fitting/regression technique that leads to obtain V g-I m variation from which V g-X m variation can be derived. The predicted parameters and performance characteristics of a single-phase SEIG are compared with the corresponding experimental results. This procedure can be a powerful tool for improved design of such machines. Effects of variation of typical design parameters on performance are presented to demonstrate its utility.

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Section: Curve Fitting Of the Magnetisation Characteristicsmentioning

confidence: 99%

Design‐based computational procedure for performance prediction and analysis of single‐phase self‐excited induction generator

Murthy

Singh

Vuddanti

2013

IET Electric Power Applications

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“…Mathematical models of HL usually involve functions such as exponential [13], polynomial [14], [15], and rational [16]- [19], then functions represented via Fourier series [20], Langevin [21], [22], Frolich [19], Brillouin function [21], and modified Brillouin function [23], hyperbolic tangent [24], and arcus tangent function [19], [21], [25]- [28]. Takacs model [29], [11] is based on the linear combination of the hyperbolic tangent and linear function.…”

Section: Introductionmentioning

confidence: 99%

Takacs Model of Hysteresis in Mathematical Modeling of Memristors

Juhas¹,

Dautovic²,

Samardžić³

2020

RADIOENGINEERING

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In this paper, the mathematical modeling of memristor via Takacs model of hysteresis is presented along with a modification of this model tailored to describe the asymmetric hysteresis loop and first order reversal curves. In particular, it is shown that there is a class of differential equations of the Duhem model of hysteresis where every member of the class could play a role of the state equation of memristor. Within this class of Duhem differential equations, there are two distinct subclasses: one corresponding to the Takacs model and the other one corresponding to the state equations of the memristor model with the Biolek window function of various degrees p. These two subclasses have a non-empty intersection, which contains the state equation of the memristor model with the Biolek window function for p = 1. To demonstrate the proposed approach, three examples are presented.

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“…In the literature, different empirical equations have been reported to represent the magnetization characteristics [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Carter [4] has first proposed conformal mapping to obtain the solution of Laplace's equation for determining flux distribution with simple assumptions such as infinite permeability of iron.…”

Section: Introductionmentioning

confidence: 99%

“…Subrahmanyam et al [13] have reported some analytical expressions used for magnetization curves. Teape et al [14] have proposed single-valued nonlinear curves which have been represented by an exponential series and the coefficients are determined by an iterative procedure. Brauer [15] has reported a simple equation with three constants fitted all points well on magnetization curve.…”

Section: Introductionmentioning

confidence: 99%

A comparative study on approaches to curve fitting of magnetization characteristics for induction generators

Vuddanti

Murthy

Singh

2012

2012 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES)

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The curve fitting of magnetizing characteristics of self excited induction generators (SEIG) resulting airgap voltage (V g ) with magnetising current (I m ) is crucial for performance analysis of such machines using design tools. The magnetisation characteristic may be obtained using the B -H curve of the core material. An appropriate curve fitting technique/regression analysis is employed to represent V g -I m curve from which V g -X m curve can be derived. There is wide literature on approximation of magnetization curves of variety of materials. Accurate analysis of a magnetization curve, or the B -H characteristic, has always posed problems for electrical engineers dealing with machine design. The problem has been to find a single function to represent the wide range from the origin to saturation with a minimum error over the whole range. Moreover, such a function should be mathematically simple for easy application. In this paper, different techniques are critically compared to guide the designers on a right approach with special reference to SEIG.

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Representation of magnetic characteristic, including hysteresis, by exponential series

Cited by 12 publications

References 0 publications

Design‐based computational procedure for performance prediction and analysis of single‐phase self‐excited induction generator

Design‐based computational procedure for performance prediction and analysis of single‐phase self‐excited induction generator

Takacs Model of Hysteresis in Mathematical Modeling of Memristors

A comparative study on approaches to curve fitting of magnetization characteristics for induction generators

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