Representation of magnetisation curves by exponential series

Macfadyen, W.K.; Simpson, R.R.S.; Slater, R.D.; Wood, W.S.

doi:10.1049/piee.1973.0198

Cited by 33 publications

(11 citation statements)

References 1 publication

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“…It needs complicated algorithm to remove zeros [5] and [7]. This phenomena has less probability to happen in the proposed analytical function because powers of parameter, x is not an integer number as in (9). Other functions comparison such as exponential functions or closed-form trigonometric functions are skipped to be presented in this paper, which could give less precision rather than rational function.…”

Section: B Second Group Of Materialsmentioning

confidence: 99%

Analytical Functions of Magnetization Curves for High Magnetic Permeability Materials

Mirzaei

Ripka

2018

IEEE Trans. Magn.

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In this paper, combined rational and power functions are used to represent magnetization curves of high magnetic permeability fe rromagnetic materials. The proposed functions cover much wider range of magnetic fields than functions currently used in simulation software packages. The objective is to present simple functions for approximation of magnetization curves with minimum number of unknown constants. The calculated functions are finally compared with measured magnetization curves to validate the pre cision in a wide field range from 10-2 to 10 6 A/m.

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Section: B Second Group Of Materialsmentioning

confidence: 99%

Analytical Functions of Magnetization Curves for High Magnetic Permeability Materials

Mirzaei

Ripka

2018

IEEE Trans. Magn.

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“…representation [26], [27]. The other approaches include representation by hyperbolas [26], transcendental functions [26], exponential series or sums of exponentials [28], [29], and rational functions [30]- [32]. The possibility of very accurate modeling of the whole B-H curve (including Ralyeigh region and saturation knee) launched the approximation using Fourier series [26], [33].…”

Section: Introductionmentioning

confidence: 99%

Approximation of the Nonlinear B-H Curve by Complex Exponential Series

2020

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The paper presents an accurate and simple method for the approximation of the nonlinear B-H curves using expansion into complex exponential series. The least-squares fit of the model is obtained by the application of the Moore-Penrose pseudoinverse. Due to the completeness of the orthogonal basis of the approximation, any desired accuracy can be achieved with increasing the number of terms. Using the measurements acquired by an automated system based on the PXI digitizer boards, the feasibility of the method is proved.

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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%

“…Davis [10] has proposed a pair of parametric equation to B-H loop, derived from a Fourier analysis. Macfadyen et al [11] have reported an exponential series representing a magnetisation curve which coefficients are determined using an iterative method, and the number of terms in series decides accuracy. Sherbiny [12] has proposed the representation of magnetization characteristics by a sum of exponentials.…”

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 magnetisation curves by exponential series

Cited by 33 publications

References 1 publication

Analytical Functions of Magnetization Curves for High Magnetic Permeability Materials

Analytical Functions of Magnetization Curves for High Magnetic Permeability Materials

Approximation of the Nonlinear B-H Curve by Complex Exponential Series

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

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