Improved accuracy hysteresis model based on hypergeometric functions
A new model of hysteresis based on hypergeometric functions is presented. The model is based on a class of parameterized functions with two free parameters, which contains the Takács model as a special case. With a suitable choice of the parameters, a model of hysteresis can be constructed, which sh...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2020-10-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0024628 |
| Summary: | A new model of hysteresis based on hypergeometric functions is presented. The model is based on a class of parameterized functions with two free parameters, which contains the Takács model as a special case. With a suitable choice of the parameters, a model of hysteresis can be constructed, which shows improved conformance to experimental data, such as steep and narrow loops obtained from grain-oriented electric steel. The performance of our model was tested and verified on our measurement data, as well as data from other sources. It retains the advantages such as simple numerical implementation and parameter estimation while offering an increase in accuracy. |
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| ISSN: | 2158-3226 |