Arbitrarily shaped coils' inductance simulation based on a 3-dimensional solution of the Biot-Savart law

Volkmar, Chris; Baruth, Timo; Simon, Jens; Ricklefs, Ubbo; Thueringer, Rainer

doi:10.1109/isse.2013.6648244

Cited by 6 publications

(2 citation statements)

References 8 publications

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“…Magnetic flux density as a function of number of turns, current, permeability, coil radius and spatial position. For a long currentcarrying wire, the Biot-Savart Law describes the magnetic flux density it produces at any point in space [1].…”

Section: † These Authors Contributed Equally To This Workmentioning

confidence: 99%

Supplementary document for Electromagnetic induction for reinforced concrete blasting: Principles, simulations, experiments, and applications - 6094819.pdf

Wang,

Chen

et al. 2022

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Section: † These Authors Contributed Equally To This Workmentioning

confidence: 99%

Supplementary document for Electromagnetic induction for reinforced concrete blasting: Principles, simulations, experiments, and applications - 6094819.pdf

Wang,

Chen

et al. 2022

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“…Sijoy and Chaturvedi [27] developed an efficient and accurate method for calculating the inductance of arbitrarily-wound helical coils. Volkmar et al [28] proposed an algorithmic solution to calculate the inductance of a coil based on the Biot-Savart law. However, most of these methods were developed for calculating the inductance of the 2D planner coils or simple 3D coils.…”

Section: B Estimating Self-and Mutual-inductancementioning

confidence: 99%

Design of 3D Wireless Power Transfer System Based on 3D Printed Electronics

Hou

Elkhuizen

et al. 2019

IEEE Access

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2D coil design limits the use of wireless power transfer (WPT) in many products with freeform outer shapes. In this paper, enabled by 3D printed electronics, we propose a systematic approach to design and fabricate 3D coils for WPT. Based on the circular spiral and rectangular spiral patterns, 3D receiver and transmitter coils can be generated on an arbitrarily selected region of a product and its offset, respectively. Mathematical models are proposed to estimate the self-inductance and the mutual-inductance of the 3D arbitrarily shaped coils for 3D WPT. This leads to a new design approach of a 3D WPT system. Several sets of 3D printed WPT systems were designed, simulated, and prototyped to demonstrate the effectiveness of the proposed design approach as well as the mathematical models. The calculation speed of the proposed mathematical models is 30 times faster than the simulation, and compared with the measurement results, the calculation results have mean absolute errors of 2.63% and 4.45% regarding the self-and the mutualinductance, where the simulation results have mean absolute errors of 1.20% and 2.38%, respectively. Measurements also indicate that with a 5V input, the prototypes are able to deliver 1-watt power at an efficiency ranging between 20.9% and 25.3%. It was concluded that the proposed approach is feasible and promising for designing and manufacturing WPT using 3D printed electronics.INDEX TERMS 3D coil, WPT, IPT, 3D printed electronics, design.

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Working Properties of Compliant Actuators Based on Magnetorheological Elastomer

Feng

Yoong

et al. 2021

2021 6th IEEE International Conference on Advanced Robotics and Mechatronics (ICARM)

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Arbitrarily shaped coils' inductance simulation based on a 3-dimensional solution of the Biot-Savart law

Cited by 6 publications

References 8 publications

Supplementary document for Electromagnetic induction for reinforced concrete blasting: Principles, simulations, experiments, and applications - 6094819.pdf

Supplementary document for Electromagnetic induction for reinforced concrete blasting: Principles, simulations, experiments, and applications - 6094819.pdf

Design of 3D Wireless Power Transfer System Based on 3D Printed Electronics

Working Properties of Compliant Actuators Based on Magnetorheological Elastomer

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