Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils

Zhou, Xinglong; Chen, Baichao; Luo, Yao; Zhu, Runhang

doi:10.3390/en12030566

Cited by 6 publications

(7 citation statements)

References 27 publications

(80 reference statements)

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“…The third step is to solve the nonlinear equations. The unknowns in the aforementioned equations can be worked out using the inductance calculation formula in [23,24]. If the nonlinear equations cannot be solved, the initial conditions shall be changed.…”

Section: Lamentioning

confidence: 99%

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A Novel Hybrid Active Power Filter with Multi-Coupled Coils

et al. 2021

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This paper proposes a hybrid active power filter (HAPF) with multi-coupled coils, applied to a medium- and high-voltage power grid. The passive filter of the proposed HAPF adopts the structure of multi-coupled coils to compress the traditional multiple LC branches into one branch which presents the same harmonic impedance characteristics as the former multiple LC branches. In the active power filter of the HAPF, a coupled inductor, instead of a transformer, is used to connect with the passive filter. The coupled inductor has mutual inductances with inductors of the passive filter. Through spatial magnetic coupling, the active power filter can inject compensation current into the power grid to eliminate the residual harmonics and absorb active power from the power grid to maintain the DC capacitor voltage. When the active power filter is open-circuited or short-circuited, the filtering effect of the passive filter can still be guaranteed, which improves the reliability of the filter. The benefits of the proposed HAPF with excellent harmonic filtering performance are that the inductors occupy only 1/3 space as compared with traditional three-tuned LC filter, and very small power of the active power filter. The feasibility of the proposed HAPF is verified through simulations and experiment.

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Section: Lamentioning

confidence: 99%

“…Authors developed a new method for calculating the inductance of air-core circular coils with rectangular cross section and parallel axes [23,24]. Moreover, a compact multituned filter with coupled inductors was proposed in [5], which can reduce the required space of inductors while eliminating characteristic harmonics.…”

Section: Introductionmentioning

confidence: 99%

A Novel Hybrid Active Power Filter with Multi-Coupled Coils

et al. 2021

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“…By contrast, there exist some blind locations, hard to reach in the intestine for conventional endoscopes [13]. On the other hand, WCE could be in any possible position and direction in the GI tract during the detection, causing misalignment between RC and TC [14]. Thus, the receiving power varies correspondingly [15].…”

Section: Introductionmentioning

confidence: 99%

Optimization Design for Receiving Coil with Novel Structure Based on Mutual Coupling Model in Wireless Power Transmission for Capsule Endoscope

2020

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Wireless capsule endoscope (WCE) is a promising technology for noninvasive and painless imaging detection on gastrointestinal (GI) diseases. On the other hand, conventional endoscopes with wires could discomfort patients and cause them to vomit and aerosolize coronavirus if the patients are infected with COVID-19. However, there stands a technical bottleneck on power supply for the WCE. With the help of wireless power transmission technology, a hollow receiving coil (RC) is proposed to supply sufficient power and also minimize the size of WCE. A model on mutual inductance between transmitting and receiving coils is proposed to evaluate receiving power when the RC is in a different position and direction of patient’s GI tract. Based on the model, an optimal RC is built to obtain sufficient and stable power. Measurement of mutual inductance with the optimal RC validates high accuracy of the proposed model. The standard deviation of receiving power is very low. WCE with optimum RC gets sufficient power and captures images stably in live pig’s intestine tract. Additionally, the model is little affected by biological tissues. It ensures reliable performance of WCE and makes popular clinical application of WCE possible, which is also a relief to reduce epidemics like COVID-19.

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“…However, with regard to high-frequency magnetic coupling resonance wireless power transmission coils with a large transmission distance, the screw pitches are often large, which reduces the distributed capacitor and improves the Q value [18]. For helical coils, or namely solenoids, [19] figured out that helicity cannot be ignored at large pitch length, and mutual inductance between coaxial helical coils are presented analytically. Hence, the helicity of Archimedean spiral coils with large screw pitches should also be taken into account.…”

Section: Introductionmentioning

confidence: 99%

Accurate Expressions of Mutual Inductance and Their Calculation of Archimedean Spiral Coils

Liu

Lai

2019

Energies

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Considering the helicity of Archimedean spiral coils, this paper proposes accurate expressions of mutual inductance and their numerical calculation methods, which can be applied in the wireless power transmission field, etc. Accurate expressions of mutual inductance are deduced respectively for two coils that are coaxial, laterally misaligned, or non-parallel, and numerical calculations are performed using Gaussian integration as well. In the case of coaxial coils, the calculation results are verified by the 3D finite element method (3D FEM) and compared with the results gained by the traditional method that approximates two spiral coils to two clusters of series-connected circular coils ignoring helicity. The comparison of the three methods shows that results achieved by the proposed expression are close to that of 3D FEM, while there is increasing error with the screw pitches of the coils when using the traditional circular coil approximation method. The influence of relative position on the mutual inductance of the two coils is also studied and it is further explained through magnetic field distribution. Finally, the validity of the proposed expressions of mutual inductance is verified by experimental results.

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Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils

Cited by 6 publications

References 27 publications

A Novel Hybrid Active Power Filter with Multi-Coupled Coils

A Novel Hybrid Active Power Filter with Multi-Coupled Coils

Optimization Design for Receiving Coil with Novel Structure Based on Mutual Coupling Model in Wireless Power Transmission for Capsule Endoscope

Accurate Expressions of Mutual Inductance and Their Calculation of Archimedean Spiral Coils

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