Finite Element Based Analysis of Magnetic Forces between Planar Spiral Coils

Shiri, Abbas; Moghadam, Davoud Esmaeil; Pahlavani, Mohammad Reza Alizadeh; Shoulaie, Abbas

doi:10.4236/jemaa.2010.25040

Cited by 9 publications

(9 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Supposing that the compression factor of the coils is high. In other words, the radial growth of rings in each coil in any turn is not much more than the diameter of the wires used; then the force values in x and y directions are almost zero; just the component of the force in z direction is non-zero [12,13], which is shown in Equation (14). The force in this equation is the force exerted on the upper coil (coil 2) from the lower coil (coil 1) as shown in Figure 1.…”

Section: Calculation Resultsmentioning

confidence: 99%

“…With suitable substitution for dl , the following equation for vector magnetic potential is obtained [12,13]:…”

Section: Calculation Of the Magnetic Force Between Two Planar Spiral mentioning

confidence: 99%

“…By obtaining the vector magnetic potential, the magnetic field is calculated using Equation (5). Substituting Equations (17) and (18) in Equation (5) and doing some manipulations, we can get [12,13]:…”

Section: Calculation Of the Magnetic Forces Between Two Concentric CImentioning

confidence: 99%

See 2 more Smart Citations

A New Methodology for Magnetic Force Calculations Between Planar Spiral Coils

Shiri¹,

Shoulaie²

2009

PIER

Self Cite

View full text Add to dashboard Cite

Abstract-Due to the special structure of current carrying planar spiral coils, precise calculation of the forces between them is complicated and time-consuming. To overcome these problems, in this paper a new and fast method is proposed for calculation of the magnetic forces between planar spiral coils. The advantage of the proposed method is that just by having the external dimension of coils and their number of turns, the force between them at different distances and with different currents can be calculated. The results obtained by direct and proposed calculation methods show the efficiency of the latter in simplicity and calculation time. The precision of the proposed method has been confirmed by experimental tests done on constructed coils.

show abstract

Section: Calculation Resultsmentioning

confidence: 99%

“…With suitable substitution for dl , the following equation for vector magnetic potential is obtained [12,13]:…”

Section: Calculation Of the Magnetic Force Between Two Planar Spiral mentioning

confidence: 99%

See 1 more Smart Citation

A New Methodology for Magnetic Force Calculations Between Planar Spiral Coils

Shiri¹,

Shoulaie²

2009

PIER

Self Cite

View full text Add to dashboard Cite

show abstract

“…Studies on the coil structure for magnetic field generation have been published in recent years by various authors [8][9][10][11][12][13][14][15][16]. In [8] the authors presented magnetic field planar spiral coil calculations at a given point using vector magnetic potential. Unfortunately, they did not describe the planar spiral coil magnetic field distribution calculation method.…”

Section: Introductionmentioning

confidence: 99%

Single-Layer Transmitter Array Coil Pattern Evaluation toward a Uniform Vertical Magnetic Field Distribution

et al. 2019

View full text Add to dashboard Cite

A uniform magnetic field distribution is a critical aspect in the transmitter array coil design process for achieving a homogenous vertical magnetic field distribution. The free position and orientation features can thus be implemented in the wireless power charging system. This paper presents vertical magnetic field distribution generated by a single-layer circular flat spiral air core transmitter array coil model analysis and evaluation using a numerical analysis method. This method is developed based on the off-symmetry axis magnetic field distribution due to a circular current loop derived from the Biot-Savart law. The proposed evaluation criteria are used to obtain the vertical magnetic field distribution characteristic of the evaluated array coil model. The vertical magnetic field distribution of several circular flat spiral air core coils, in both single and array coil models with different coil geometries were investigated to obtain the relation between the coil parameters and the distance between the adjoining coil centers to generate uniform vertical magnetic field distribution. A case study was also conducted to analyze and evaluate several array coil model patterns (1 × 2 array coil, 1 × 3 array coil, 2 × 2 array coil, 2 × 3 array coil) to meet uniform vertical magnetic field distribution. The array coil model is composed of an identical single circular flat spiral air-core coil. Every single coil has inner coil diameter (Di), outer coil diameter (Do), wire diameter (W), pitch (P) and a number of turns (N) at 25 mm, 47.8 mm, 0.643 mm, 0.03 mm, 17 respectively. The study and evaluation of several array coil pattern models show that the distance between the adjoining coil centers should be defined close to the half of coil outer diameter (1/2Do) to generate close to uniform vertical magnetic field distribution. The vertical magnetic field distribution average and magnetic field effective transmitting areas array coil model with the given coil parameters changing as the effect in variation in distances between the adjoining coil centers.

show abstract

“…The magnetic field line is created by a combination of TFC, PFC and a toroidal plasma current. Note that a helical toroidal coil (HTC) can create the magnetic field line, as well [2][3][4][5][6][7]. The CSC is used to drive the toroidal plasma current in a Tokamak reactor.…”

Section: Introductionmentioning

confidence: 99%

Impact of Dimensional Parameters on Mutual Inductance of Individual Toroidal Coils Using Analytical and Finite Element Methods Applicable to Tokamak Reactors

Pahlavani¹,

Shiri²

2010

PIER B

Self Cite

View full text Add to dashboard Cite

Abstract-A toroidal field coil (TFC) is composed of several individual toroidal coils (ITCs), which are connected in a series and distributed in a toroidal and symmetrical form. Cross section of ITCs is rectangular or negligible. This paper presents analytical equations for mutual inductance of two ITCs applicable to Tokamak reactors using the filament method. These equations are based on those formulated by Neumann. The numerical analysis of the integrations resulting from these equations is solved using the extended three-point Gaussian algorithm. The finite element method (FEM) is employed to verify the mutual inductance equations of ITCs. The results obtained using the FEM, when dimensional parameters of ITCs are changed, confirm the analytical and empirical results showing an error of less than 0.2043% in the worst case. This indicates the reliability of the presented equations.

show abstract

Finite Element Based Analysis of Magnetic Forces between Planar Spiral Coils

Abstract: ABSTRACT

Cited by 9 publications

References 7 publications

A New Methodology for Magnetic Force Calculations Between Planar Spiral Coils

A New Methodology for Magnetic Force Calculations Between Planar Spiral Coils

Single-Layer Transmitter Array Coil Pattern Evaluation toward a Uniform Vertical Magnetic Field Distribution

Impact of Dimensional Parameters on Mutual Inductance of Individual Toroidal Coils Using Analytical and Finite Element Methods Applicable to Tokamak Reactors

Contact Info

Product

Resources

About