2016
DOI: 10.1007/s00202-016-0432-z
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Analytical calculation method for the non-linear characteristic of ferrite-cored inductors with stepped air gap

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Cited by 14 publications
(6 citation statements)
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“…The reduction technique can be further refined by integrating the orderestimation algorithm with the proper-orthogonal decomposition reduction model to increase efficiency and decrease computational cost [24]. This can also be done for nonlinear inductors to solve for the magnetic vector potential and inductance as a function of current; results agree well with COMSOL simulations [25]. Another study used a multistage Adomain decomposition method, which is a hybrid analyticalnumerical mathematical technique for solving nonlinear PDEs.…”
Section: A Theoretical Contributionsmentioning
confidence: 79%
“…The reduction technique can be further refined by integrating the orderestimation algorithm with the proper-orthogonal decomposition reduction model to increase efficiency and decrease computational cost [24]. This can also be done for nonlinear inductors to solve for the magnetic vector potential and inductance as a function of current; results agree well with COMSOL simulations [25]. Another study used a multistage Adomain decomposition method, which is a hybrid analyticalnumerical mathematical technique for solving nonlinear PDEs.…”
Section: A Theoretical Contributionsmentioning
confidence: 79%
“…15(b). The voltage source and the current source depend on the terminal voltage and current in Equation ( 13) and (14). Where D represents the duty-ratio, and d represents the small signal of the duty-ratio.…”
Section: Resultsmentioning
confidence: 99%
“…This method is precise, but hard to quantitative analysis. In [14,15], the B-H curve of the ferrite is decomposition into linear subproblem. This helps the mathematic module to approximate the real characteristic of the stepped air-gap inductor, easily.…”
mentioning
confidence: 99%
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“…The arctangent model ( 17) is used as starting point to model ferrite-core inductors with a stepped air gap 41 (shown in Figure 12), which allows achieving a controlled decrease in inductance at large current values. 51,52 In this case, the inductance is modeled as a double arctangent, shown in Figure 11E:…”
Section: Arctangent Modelsmentioning
confidence: 99%