Fractional transmission line model of oil‐immersed transformer windings considering the frequency‐dependent parameters

Liang, Guishu; Gao, Shiqiang; Wang, Yanchao; Ying, Zhinong; Liu, Xin

doi:10.1049/iet-gtd.2016.0877

Cited by 8 publications

(5 citation statements)

References 20 publications

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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%

Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit

Liang

Hao

2019

IEEE Access

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As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method.

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Section: B Synthesis Proceduresmentioning

confidence: 99%

Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit

Liang

Hao

2019

IEEE Access

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“…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%

Broadband Modelling of Power Transformers for Sweep Frequency Impedance Studies on Winding Short-Circuit Faults

Liu,

Li,

Guo

et al. 2023

Electronics

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To study sweep frequency impedance (SFI) features of short-circuit (SC) faults easily, this paper proposes a broadband electric circuit model of a transformer winding and solves its three key problems. The first problem is the calculation of lumped-circuit parameters considering frequency-dependent complex anisotropic permeabilities (FDCAPs), which are caused by the physical characteristics, such as skin, proximity, and geometrical effects and anisotropic properties, of the transformer core and winding materials. The other issue is the establishment of the electric circuit model based on the SFI measurement connection mode, the transformer winding parameters, and a double-ladder network (DLN). Another issue is the construction of the state-space model of the electric circuit toward different SFI values to obtain all network branch voltages and currents. The accuracy of the proposed model is assessed by comparing its SFI signatures with those of the simulation model, without considering FDCAPs under healthy winding, and the corresponding physical transformer model during healthy winding and SC faults. It is observed that the SFI results of the proposed model are closer to the experimental measurements, and the model can be effectively used to study the SFI features of SC faults. Moreover, the impacts of different types of SC faults on the SFI data are concluded in this paper.

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“…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%

Passivity Criterions of Networks With General Fractional Order Coupled Inductors

Liang

Zheng

et al. 2019

IEEE Access

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Fractional order coupled inductor (FCI) was proposed recently which can enrich existing circuit element system. In this paper, the passivity conditions of FCI are discussed. The study shows that different from the traditional passive coupled inductor, passive fractional order coupled inductor (PFCI) can be non-reciprocal. Traditional integer order coupled inductors are special cases of FCI, and the passivity conditions between them have great differences. Based on passivity conditions of FCI, modified multivariate positive real definition is proposed and multivariate passivity of general FCIs also be proved. Finally, this paper proposes passivity criterions of networks with general FCIs in the complex frequency domain and multivariate domain, respectively.

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Fractional transmission line model of oil‐immersed transformer windings considering the frequency‐dependent parameters

Cited by 8 publications

References 20 publications

Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit

Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit

Broadband Modelling of Power Transformers for Sweep Frequency Impedance Studies on Winding Short-Circuit Faults

Passivity Criterions of Networks With General Fractional Order Coupled Inductors

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