A new approach for the calculation of nonlinear magnetic circuits

Heitbrink, A.; Beyer, A.

doi:10.1063/1.352486

Journal of Applied Physics

1993

DOI: 10.1063/1.352486

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A new approach for the calculation of nonlinear magnetic circuits

A. Heitbrink

A. Beyer

Abstract: Frequency versus Lyapunov exponent map: A new approach to investigate dynamics of nonlinear magnetic systemsA new perturbative approach to nonlinear problems

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“…The known methods of calculation of electric circuit elements parameters are divided into numerical and analytical ones. Use of numerical methods [3] allows solution of equation systems with many unknowns. However, it is connected with an approximate determination of roots of equations or equation systems and is applied in the cases when the exact method of solution is unknown or laborious [4].…”

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Use of Power Method for Identification of Nonlinearity Parameters

Zagirnyak¹,

Mosiundz²,

Rodkin³

2017

Teh. Electrodin.

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Procedure of calculation of nonlinearity parameters by power method based on equations of balance of the source and consumer instantaneous powers components according to each separate harmonic is proposed. It is demonstrated that such an approach makes it possible to obtain the required number of equations for determination of the nonlinearity parameters. The method is verified using the example of calculation of parameters of a simple electric circuit with a nonlinear inductance. References 12, figures 6.

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mentioning

confidence: 99%

Use of Power Method for Identification of Nonlinearity Parameters

Zagirnyak¹,

Mosiundz²,

Rodkin³

2017

Teh. Electrodin.

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Numerical methods and measurement systems for networks containing magnetic nonlinearities

Storzer

Heitbrink

Beyer

1995

Electrical Engineering

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ContentsIn the last years an increasing interest in computer aided circuit calculation methods could be observed. This can be seen in combination with the short innovation processes in commercial products. Especially there is a need in modelling of nonlinear magnetic elements. In order to overcome these problems, a new method was developed, which makes it possible to calculate the steady state solution of circuits containing nonlinear magnetic elements by the help of an interactive CAD-program. After separating the network into linear and nonlinear subnetworks, it is possible to choose between several models for the nonlinear elements. In applications, where numerical models are insufficient a realtime measurement system can be activated to extract the nonlinear behaviour (dynamic hystersis loops). This concept is discussed for earth-leakage circuit breakers. These networks contain a toroidal highly permeable NiFe-alloy and a relay as nonlinear elements and some resistors, inductors and capacitors as linear elements. AC-signals at the primary winding of the core in any waveform must be regarded as an input, 135 degree phase cut off sinusoidal signals are especially important. These signals with extreme high frequency components make it impossible to use numerical models for the description of the nonlinear behaviour of the core and the relay. Therefore for both elements the realtime measurement system must be used during the iteration process.

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A new approach for the calculation of nonlinear magnetic circuits

Abstract: Frequency versus Lyapunov exponent map: A new approach to investigate dynamics of nonlinear magnetic systemsA new perturbative approach to nonlinear problems

Cited by 2 publications

References 5 publications

Use of Power Method for Identification of Nonlinearity Parameters

Use of Power Method for Identification of Nonlinearity Parameters

Numerical methods and measurement systems for networks containing magnetic nonlinearities

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