Inducted currents analysis in multiply connected conductors using reluctance‐resistance networks

Wojciechowski, Rafał; Demenko, Andrzej; Sykulski, J.K.

doi:10.1108/03321641011044325

Cited by 4 publications

(5 citation statements)

References 14 publications

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“…The equations of the Ω-T-T 0 method lead to the formulation of a coupled system that comprises (a) a magnetic edge network (MEN) [20] and (b) an electrical facet network (EFN) [20]. A detailed description of the method of formulating FEM equations using electrical vector potentials T-T 0 is given in [19,[21][22][23][24]. Finally, a system of matrix equations with the following compact form was obtained:…”

Section: Equivalent Model Based On Multi-branch Cauer Circuitsmentioning

confidence: 99%

Application of Multi-Branch Cauer Circuits in the Analysis of Electromagnetic Transducers Used in Wireless Transfer Power Systems

Kurzawa

Jędryczka

Wojciechowski

2020

Sensors

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In this paper, the feasibility of applying a multi-branch equivalent model employing first- and second-order Cauer circuits for the analysis of electromagnetic transducers used in systems of wireless power transfer is discussed. A method of formulating an equivalent model (EqM) is presented, and an example is shown for a wireless power transfer system (WPTS) consisting of an air transformer with field concentrators. A method is proposed to synthesize the EqM of the considered transducer based on the time-harmonic field model, an optimization algorithm employing the evolution strategy (ES) and the equivalent Cauer circuits. A comparative analysis of the performance of the considered WPTS under high-frequency voltage supply calculated using the proposed EqM and a 3D field model in the time domain using the finite element method (FEM) was carried out. The selected results of the conducted analysis are presented and discussed.

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Section: Equivalent Model Based On Multi-branch Cauer Circuitsmentioning

confidence: 99%

Application of Multi-Branch Cauer Circuits in the Analysis of Electromagnetic Transducers Used in Wireless Transfer Power Systems

Kurzawa

Jędryczka

Wojciechowski

2020

Sensors

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“…The gradient of the second order scalar basis functions interpolating the magnetic scalar potential Ω also contain ∇(ς i ς j ). Therefore, the vector basis function (18) in the T-Ω method is redundant and can be recycled, and only the rotational basis functions (17) and (19) are needed to interpolate T .…”

Section: Basis Functionsmentioning

confidence: 99%

“…Note that the dimension of the column vector [χ], which is the degree of freedom (DOF) of the harmonic field component, is the number of loops, so it is independent of the mesh and orders of the basis functions. There are several approaches to model (21), the topological property of the harmonic field component [15][16][17][18][19][20][21][22][23]. Reference [23] introduced an efficient cut-generating algorithm with computational complexity O(N 2 ) where N denotes the number of DOF's in the finite element discretization.…”

Section: Multiply-connected Regionsmentioning

confidence: 99%

The Second Order Finite Element Analysis of Eddy Currents Based on the T-Ω Method

He¹,

Zhou²,

Lin³

et al. 2015

PIER M

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“…The equations of T-T 0 method are obtained by jointing the equations describing the distribution of edge values i m of vector T with equations describing the edge values i o of vector potential T 0 [3,14]. It is known that, in order to determine the induced currents distribution in conducting regions, the equations of T-T 0 method should be solved with equations describing the magnetic field distribution.…”

Section: Introductionmentioning

confidence: 99%

“…An advantage of this method is that the equations describing the currents distribution can be easily coupled with equations describing the magnetic field distribution. Moreover both formulations: scalar potential Ω -method Ω-T-T 0 [6] -as well as the vector potential A -method A-T-T 0 [14] -are allowed.…”

Section: Introductionmentioning

confidence: 99%

DESCRIPTION OF MULTIPLY CONNECTED REGIONS WITH INDUCED CURRENTS USING T-T0 METHOD

Wojciechowski¹,

Jędryczka²,

Szeląg³

et al. 2012

PIER B

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Abstract-The paper presents the description of multiply connected conducting regions (MCCR) in the finite elements space. In order to define induced currents distribution in multiply connected regions, an innovative method of combined vector potentials T and T 0 has been suggested. The equations of T-T 0 method have been presented. The relations describing sources for the field of induced currents in the discussed regions have been given. The proposed method has been applied to solve Problem No. 7 of the International TEAM Workshops. The selected results of calculation have been compared with the measurement results.

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Inducted currents analysis in multiply connected conductors using reluctance‐resistance networks

Cited by 4 publications

References 14 publications

Application of Multi-Branch Cauer Circuits in the Analysis of Electromagnetic Transducers Used in Wireless Transfer Power Systems

Application of Multi-Branch Cauer Circuits in the Analysis of Electromagnetic Transducers Used in Wireless Transfer Power Systems

The Second Order Finite Element Analysis of Eddy Currents Based on the T-Ω Method

DESCRIPTION OF MULTIPLY CONNECTED REGIONS WITH INDUCED CURRENTS USING <I>T</I>-<I>T</I><sub>0</sub> METHOD

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