The Mutual Inductance of Two Thin Coaxial Disk Coils in Air

Babić, Slobodan; Salon, S.J.; Akyel, C.

doi:10.1109/tmag.2004.824810

Cited by 79 publications

(46 citation statements)

References 4 publications

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“…The proposed work aims at optimizing k 12 for achieving high efficiency for a particular d 23 (k 23 ). Since, Equation (16) is an approximated Neumann formula for r d 23 , the original Neumann formula is employed to predict k 12opt for a particular d 23 , as reported in [26][27][28]. The mutual inductance between the Tx and Rx is computed initially for two single turn loops x and y as given in Equation (23).…”

Section: Simulation and Experimental Resultsmentioning

confidence: 99%

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An Efficiency Enhancement Technique for a Wireless Power Transmission System Based on a Multiple Coil Switching Technique

Nair

Choi

2016

Energies

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For magnetic-coupled resonator wireless power transmission (WPT) systems, higher power transfer efficiency can be achieved over a greater range in comparison to inductive-coupled WPT systems. However, as the distance between the two near-field resonators varies, the coupling between them changes. The change in coupling would in turn vary the power transfer efficiency. Generally, to maintain high efficiency for varying distances, either frequency tuning or impedance matching are employed. Frequency tuning may not limit the tunable frequency within the Industrial Scientific Medical (ISM) band, and the impedance matching network involves bulky systems. Therefore, to maintain higher transfer efficiency over a wide range of distances, we propose a multiple coil switching wireless power transmission system. The proposed system includes several loop coils with different sizes. Based on the variation of the distance between the transmitter and receiver side, the power is switched to one of the loop coils for transmission and reception. The system enables adjustment of the coupling coefficient with selective switching of the coil loops at the source and load end and, thus, aids achieving high power transfer efficiency over a wide range of distances. The proposed technique is analyzed with an equivalent circuit model, and simulations are performed to evaluate the performance. The system is validated through experimental results that indicate for a fixed frequency (13.56 MHz) that the switched loop technique achieves high efficiency over a wider range of distances.

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Section: Simulation and Experimental Resultsmentioning

confidence: 99%

“…For the computation of the mutual inductance of multiple turn coils, with N 1 and N 2 turns, the Equation in (23) is decomposed into sets of N 1 and N 2 closed loops and approximated for M total as in Equation (24) [26][27][28]. The coupling coefficient is further calculated based on the Equation in (1).…”

Section: Simulation and Experimental Resultsmentioning

confidence: 99%

An Efficiency Enhancement Technique for a Wireless Power Transmission System Based on a Multiple Coil Switching Technique

Nair

Choi

2016

Energies

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“…The numerical methods are often based on a finite element method but the evaluation of the magnetic field components with such methods has a very high computational cost. Analytical methods are either based on the Coulombian model [20][21][22][23], or the Amperian model [24][25][26][27][28][29][30][31][32][33], in a 2D or 3D approach. Authors have often used 2D-analytical methods for optimizing ring permanent magnet dimensions because their expressions are fully analytical.…”

Section: Introductionmentioning

confidence: 99%

Discussion About the Analytical Calculation of the Magnetic Field Created by Permanent Magnets

Ravaud¹,

Lemarquand²,

Lemarquand³

et al. 2009

PIER B

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Abstract-This paper presents an improvement of the calculation of the magnetic field components created by ring permanent magnets. The three-dimensional approach taken is based on the Coulombian Model. Moreover, the magnetic field components are calculated without using the vector potential or the scalar potential. It is noted that all the expressions given in this paper take into account the magnetic pole volume density for ring permanent magnets radially magnetized. We show that this volume density must be taken into account for calculating precisely the magnetic field components in the near-field or the far-field. Then, this paper presents the component switch theorem that can be used between infinite parallelepiped magnets whose cross-section is a square. This theorem implies that the magnetic field components created by an infinite parallelepiped magnet can be deducted from the ones created by the same parallelepiped magnet with a perpendicular magnetization. Then, we discuss the validity of this theorem for axisymmetric problems (ring permanent magnets). Indeed, axisymmetric problems dealing with ring permanent magnets are often treated with a 2D approach. The results presented in this paper clearly show that the two-dimensional studies dealing with the optimization of ring permanent magnet dimensions cannot be treated with the same precisions as 3D studies.

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“…The magnetic field created by arc-shaped permanent magnets can be determined analytically by using three-dimensional [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and two-dimensional approaches [18][19][20][21][22][23]. Such approaches allow us to realize parametric studies easily since their computational cost is very low.…”

Section: Introductionmentioning

confidence: 99%

The Three Exact Components of the Magnetic Field Created by a Radially Magnetized Tile Permanent Magnet

Ravaud¹,

Lemarquand²,

Lemarquand³

et al. 2008

PIER

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Abstract-This paper presents the exact analytical formulation of the three components of the magnetic field created by a radially magnetized tile permanent magnet. These expressions take both the magnetic pole surface densities and the magnetic pole volume density into account. So, this means that the tile magnet curvature is completely taken into account. Moreover, the magnetic field can be calculated exactly in any point of the space, should it be outside the tile magnet or inside it. Consequently, we have obtained an accurate 3D magnetic field as no simplifying assumptions have been used for calculating these three magnetic components. Thus, this result is really interesting. Furthermore, the azimuthal component of the field can be determined without any special functions. In consequence, its computational cost is very low which is useful for optimization purposes. Besides, all the other expressions obtained are based on elliptic functions or special functions whose numerical calculation is fast and robust and this allows us to realize parametric studies easily. Eventually, we show the interest of this formulation by applying it to one example: the calculation and the optimization of alternate magnetization magnet devices. Such devices are commonly used in various application fields: sensors, motors, couplings, etc. The point is that the total field is calculated by using the superposition theorem and summing the contribution to the field of each tile magnet in any point of the space. This approach is a good alternative to a finite element method because the calculation of the magnetic field is done without any simplifying assumption.

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The Mutual Inductance of Two Thin Coaxial Disk Coils in Air

Cited by 79 publications

References 4 publications

An Efficiency Enhancement Technique for a Wireless Power Transmission System Based on a Multiple Coil Switching Technique

An Efficiency Enhancement Technique for a Wireless Power Transmission System Based on a Multiple Coil Switching Technique

Discussion About the Analytical Calculation of the Magnetic Field Created by Permanent Magnets

The Three Exact Components of the Magnetic Field Created by a Radially Magnetized Tile Permanent Magnet

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