2017
DOI: 10.1049/iet-gtd.2016.0877
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Fractional transmission line model of oil‐immersed transformer windings considering the frequency‐dependent parameters

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Cited by 8 publications
(5 citation statements)
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“…Example 3: Given a two element-order impedance function Z (s) = 3s α+0.5 + s α + 4s 0.5 + 1 s α+0.5 + s 0.5 (9) For the sake of simplicity, set α = 0.9. Then, choosing s γ = s 0.45 and p 1 = s 0.45 , p 2 = s 0.05 , we have a bivariate reactance function, The realization of ( 10) is shown in Fig.…”
Section: B Synthesis Proceduresmentioning
confidence: 99%
“…Example 3: Given a two element-order impedance function Z (s) = 3s α+0.5 + s α + 4s 0.5 + 1 s α+0.5 + s 0.5 (9) For the sake of simplicity, set α = 0.9. Then, choosing s γ = s 0.45 and p 1 = s 0.45 , p 2 = s 0.05 , we have a bivariate reactance function, The realization of ( 10) is shown in Fig.…”
Section: B Synthesis Proceduresmentioning
confidence: 99%
“…To solve the abovementioned problem, the majority of these studies have been performed via simulation analysis based on FEM [13], mathematical modelling [14], and equivalent electric circuit models. The latter can be further divided into ladder network equivalent models [3,7], multiconductor transmission line models [15], and hybrid models [16]. Among these models, a combination of FEM modelling and ladder network modelling with lumped parameters has been widely used in simulation studies of winding deformation [5,13,[17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…In recent decades, the fast-developing fractional calculus provides users a powerful tool for interpretation of complex phenomena, processes and dynamical systems [1], [2]. Within electrical and electronic engineering field, there already exist many reports concerning on fractional order modeling of equipment (such as transformer [3], cable [4], DC-DC converter [5], supercapacitor [6], [7], etc.). These shows that fractional order models can describe skin effect and frequency dependent characteristics of dielectric materials more concisely and accurately.…”
Section: Introductionmentioning
confidence: 99%