Journal articles: 'Mutual inductance'

1

Jeon, Seon-Jae, Sang-Hoon Lee, and Dong-Wook Seo. "Unilateral Route Method to Estimate Practical Mutual Inductance for Multi-Coil WPT System." Electronics 9, no. 2 (February 24, 2020): 377. http://dx.doi.org/10.3390/electronics9020377.

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Multi-coil WPT systems require mutual inductance information between coils to increase the power transmission efficiency. However, in the high frequency (HF) bands such as 6.78 MHz and 13.56 MHz, the presence of surrounding coils changes the value of the mutual inductance between the two coils due to the parasitic element effect of the coils. These parasitic effects make it harder to estimate the mutual inductance among three or more coils. In contrast to ideal mutual inductance, which has a constant value regardless of frequency and surrounding coils, we define the practical mutual inductance as the mutual inductance varied by parasitic elements. In this paper, a new method is presented to estimate the practical mutual inductance between multiple coils in the HF band. The proposed method simply configures the expression of practical mutual inductance formula because only one of two bilateral dependent voltage sources generated by mutual inductance is considered. For several coils placed along the same axis, the practical mutual inductances between coils were measured with respect to the distance between them to validate the proposed method. The practical mutual inductance obtained from the proposed method was consistent with the simulated and measured values in HF band.

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Ivanov, Aleksandr. "Calculation of Self Inductance and Mutual Inductance of Coils with Rectangular Cross Section." Siberian Journal of Physics 9, no. 1 (March 1, 2014): 10–14. http://dx.doi.org/10.54362/1818-7919-2014-9-1-10-14.

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An inductance and mutual inductance of coils with rectangular cross section is given in a form of one-dimensional integral. The formula is appropriate for numerical calculation of the inductances with given accuracy

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Yadav, Jyoti, and Bhawna Aggrawal. "Synthetic Transformer using Operational Transconductance Amplifier (OTA) and Voltage Differencing Current Conveyor (VDCC)." International Journal of Electrical and Electronics Research 10, no. 3 (September 30, 2022): 411–14. http://dx.doi.org/10.37391/ijeer.100301.

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This paper presents a new realization of synthetic transformer using off the shelf active blocks. This proposed transformer is designed using operational transconductance amplifier (OTA), voltage differencing current conveyor (VDCC), resistor and capacitor. Use of VDCC helps to utilizes benefits of both voltage differencing unit and current conveyor. The working of proposed circuit is verified through simulations in LTSPICE using TSMC 180nm process characteristics. The proposed circuit offers the feature of adjusting primary and secondary self-inductances and mutual inductance independently. The bias current of the VDCC is used to control the primary and secondary self-inductance and mutual inductance of synthetic transformer.

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Li, He, Hao Liang Hu, Qian Zhu Xiong, and Chun Yan Yang. "Analysis of Rogowski Coil with Passive Compensation." Advanced Materials Research 614-615 (December 2012): 1809–15. http://dx.doi.org/10.4028/www.scientific.net/amr.614-615.1809.

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The influences of the position of the primary conductor to the mutual inductance of a test Rogowski coil were studied. The test results show that the deviation of the mutual inductances can not be neglected. Manufacturing variations affect the mutual inductance much and make the coils have bad interchangeability. A potentiometer is suggested to be placed in the coil to provide a passive compensation, enabling coil manufacturers to produce coils with uniform performance increasing interchangeability while reducing manufacturing complexity. The error analysis shows that the coil with potentiometer has very good performance.

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Tsitsikian, G. N., and A. I. Senchenko. "Mutual Inductance of Two Coplanar Rectangular Contours with Symmetrical Internal Arrangement." Journal of the Russian Universities. Radioelectronics, no. 3 (July 19, 2018): 42–47. http://dx.doi.org/10.32603/1993-8985-2018-21-3-42-47.

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The expediency of developing expressions for mutual inductance of rectangular and square coplanar contours is caused by configuration of frame antennas typical for RFID-technologies. Expressions presented in this article are aimed at simplifying calculation of induction coefficients when designing loop antennas. Expressions for mutual inductance of rectangular coplanar contours with symmetrical internal arrangement are obtained on the basis of the method of sections. It is shown that under certain conditions the expressions obtained can be reduced to intrinsic inductances of the square and rectangular frames encountered in antenna configurations. The analysis allows to estimate regions of resonance frequencies of frame receiving antennas. Simultaneously, a comparative analysis of a number of expressions for the intrinsic inductance of rectangular and square frames is performed, and attention is drawn to the difference in estimates. Recommendations for clarifying square contour external inductance are provided.

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Yang, Minsheng, Zhongqi Li, Min Zhang, and Jingying Wan. "Mutual Inductance Calculation of Circular Coils Sandwiched between 3-Layer Magnetic Mediums for Wireless Power Transfer Systems." Electronics 10, no. 23 (December 6, 2021): 3043. http://dx.doi.org/10.3390/electronics10233043.

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The mutual inductance between coils directly affects many aspects of performance in wireless power transmission systems. Therefore, a reliable calculation method for the mutual inductance between coils is of great significance to the optimal design of transmission coil structures. In this paper, a mutual inductance calculation for circular coils sandwiched between 3-layer magnetic mediums in a wireless power transmission system is proposed. First, the structure of circular coils sandwiched between 3-layer magnetic mediums is presented, and then a mutual inductance model of the circular coils is established. Accordingly, a corresponding magnetic vector potential analysis method is proposed based on Maxwell equations and the Bessel transform. Finally, the mutual inductance calculation method for circular coils between 3-layer magnetic mediums is obtained. The correctness of the proposed mutual inductance calculation method is verified by comparing the calculated, simulated, and measured mutual inductance data.

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G., Tsitsikyan, M. Antipov, and Ahmed Rifaat. "Determination of mutual inductances and electrodynamic forces between the coil and the coaxial solenoid in a symmetrical arrangement." Transactions of the Krylov State Research Centre 2, no. 396 (May 21, 2021): 99–104. http://dx.doi.org/10.24937/2542-2324-2021-2-396-99-104.

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Object and purpose of research. Mutual inductances are among the main parameters of electrical circuits, and their determination is the most important task for studying the physical processes occurring in them, including the occurrence of electrodynamic forces. Coaxial coils and solenoids are very common part of electrical devices, and finding mutual inductances and electrodynamic forces in them has a great practical importance. Materials and methods. Methods of theoretical electrical engineering are used. Main results. Expressions for mutual inductance are obtained, and they are based on the decomposition of the solenoid into its external and internal parts relative to the end planes of the coil. Conclusion. On the basis of the undertaken analysis, alternative expressions for mutual inductances are obtained.

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8

Wcislik, Miroslaw, Karol Suchenia, and Andrzej Cyganik. "Vectorized Mathematical Model of a Slip-Ring Induction Motor." Energies 13, no. 15 (August 4, 2020): 4015. http://dx.doi.org/10.3390/en13154015.

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The paper deals with the modeling of a slip-ring induction motor. Induction motors are very often used in industry and their suitable model is needed to reduce control and operating costs. The identification process of self and mutual inductances of the stator and rotor, and mutual inductances between them in the function of the rotor rotation angle is presented. The dependence of each inductance on the rotor rotation angle is determined experimentally. The inductance matrix is then formulated. Taking the magnetic energy of the inductances and kinetic energy of the rotor into account, the Lagrange function is defined. Next, the motor motion equations are obtained. After making some algebraic transformations and using the dimensionless variables, the motion equations of electric circuits and of the mechanical equation are written separately in the forms facilitating their solution. The solution was obtained using the Simulink model for the stator and rotor currents in the form of vectors. The simulation was controlled by MATLAB script. The results of the simulation are presented in the form of basic variables time courses and compared with some values calculated with the use Steinmetz model of induction motor. The work is followed by two appendices, which contain procedures for determining the inverted inductance matrix.

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9

Bu, Wenshao, Xiaofeng Zhang, Yanke Qiao, Ziyuang Li, and Haitao Zhang. "Equivalent two-phase mutual inductance model and measurement algorithm of three-phase bearingless motor." Transactions of the Institute of Measurement and Control 40, no. 2 (August 25, 2016): 630–39. http://dx.doi.org/10.1177/0142331216663620.

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For a bearingless motor that has two sets of stator windings, i.e. torque windings and suspension windings, the mutual inductance between the two sets of stator windings is a critical parameter; it is the basis of displacement sensorless control technology. Aiming at a three-phase bearingless motor, the equivalent two-phase mutual inductance model between two sets of stator windings is deduced. Then, based on the mutual inductance measurement method of a simple two-phase bearingless motor, a novel measurement algorithm of the equivalent two-phase mutual inductance is proposed, and the proposed measurement algorithm is applicable for a three-phase bearingless motor. Finally, based on a three-phase bearingless induction prototype motor, the experimental measurement of the equivalent two-phase mutual inductance is carried out. From the experimental results, it is clear that within the limited radial eccentricity of the rotor, the measured value of the equivalent two-phase mutual inductance is approximately proportional to the radial displacement of the rotor, and the correction coefficient kc of the equivalent two-phase mutual inductance model is derived; the consistency between measured and calculated values has verified the validities of the equivalent two-phase mutual inductance model and the proposed measurement algorithm from one instance. Thus, the theory foundation has been laid for research on the displacement sensorless vector control technology of a three-phase bearingless motor.

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10

Alkasir, Ali, Seyed Ehsan Abdollahi, Seyedreza Abdollahi, and Patrick Wheeler. "Analytical Modeling of Self- and Mutual Inductances of DD Coils in Wireless Power Transfer Applications." Journal of Electromagnetic Engineering and Science 22, no. 2 (March 31, 2022): 162–70. http://dx.doi.org/10.26866/jees.2022.2.r.73.

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Self- and mutual inductances are major design parameters for wireless power transfer (WPT) systems. To optimize a WPT system and estimate its performance in terms of received power and efficiency, it is essential to obtain a simple, fast, and accurate calculation of these two parameters. The polarized double-D (DD) coils were selected due to their simplicity of structure, high efficiency, and low sensitivity to misalignment conditions. This paper presents analytical calculations of self- and mutual inductance using the Biot-Savart law for DD coils. The results of the analytical calculations of mutual inductance in different distances between coils were investigated, and the results of the calculations were verified using experimental and finite element method (FEM) simulation results. This paper also presents analytical and FEM-based optimization guidelines for the coupling coefficient of the transmitter coil.

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Wei, Zhang, and Lin Ming Yao. "Influence of design parameters on inductances of e-core axial field flux-switching permanent magnet machines." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 35, no. 2 (March 7, 2016): 493–506. http://dx.doi.org/10.1108/compel-02-2015-0107.

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Purpose – Axial field flux-switching permanent magnet machine (AFFSPMM) can be applied in the field of electric and hybrid electric vehicles because of short axial size, large torque density, and high-power density. The purpose of this paper is to improve the reliability of AFFSPMM itself, the design parameters have to be considered for attaining high self-inductances and reduced mutual-inductances. Design/methodology/approach – The original parameters of E-core AFFSPMM are designed with reference to a 600 W prototype, on the basis of which the 3-D model of the original AFFSPMM is established, and the inductances are calculated by finite element method. The influence of these parameters on the inductances, including combinations of stator and rotor pole numbers, spilt ratio, stator side tooth width, magnet thickness, and rotor pole width etc., are respectively investigated and analyzed under the constant copper loss. Findings – The relationships of rotor pole numbers and inductances are deduced on the condition of the fixed stator poles. It is found that the rotor pole numbers has significant effects on the ratio of mutual-inductance to self-inductance, and the self-inductance is mainly affected by the rotor pole numbers, the split ratio, the stator tooth width, and the rotor pole width. The asymmetry of back-EMF can be largely reduced by optimizing the rotor tooth width. In this paper, the static characteristics are compared and analyzed for the original and optimal 6/14-pole AFFSPMM. Meanwhile, the open-circuit and short-circuit fault are investigated by transient analysis. The results show that the optimized E-core AFFSPMM has good fault tolerance. Originality/value – The research of inductance characteristics for E-core AFFSPMM is valuable to design the fault-tolerant machine, by which the cost of control and manufacture can be largely saved.

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Prosen, Nataša, Miro Milanovič, and Jure Domajnko. "On-Line Foreign Object Detection Using Double DD Coils in an Inductive Wireless Power Transfer System." Sensors 22, no. 4 (February 19, 2022): 1637. http://dx.doi.org/10.3390/s22041637.

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This paper proposes an on-line method for foreign object detection in a double DD coil system. The foreign object is detected by real-time measurement of the mutual inductance between the transfer pads. Measurement of the mutual inductance between coils can be performed at the start, during initialisation, or during the wireless power transfer. The coils in the double DD coil structure can be used separately; one coil can be used for power transfer and the other can be used for the mutual inductance measurement. The mutual inductance measurement is based on the voltage measurement across the open circuit receiver coil. The measured value of mutual inductance between the transmitter and the receiver pad can be used in a control algorithm and in a foreign object detection algorithm. Additionally, a 2DDq coil structure can be used as a replacement for the double DD coil structure, which increases the power transfer density. The DD coils in the double DD coil structure can also be driven using two phase-shifted voltages, which enables better location and detection of foreign objects. The method also helps to differentiate the mutual inductance change due to the distance change from the mutual inductance change due to the presence of a foreign object.

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Kim, Hyung-Guen, Kyung-Won Kim, and Kwang-Ho Shin. "Displacement Sensor Using Mutual Inductance." Journal of the Korean Magnetics Society 29, no. 4 (August 31, 2019): 129–33. http://dx.doi.org/10.4283/jkms.2019.29.4.129.

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14

Labadze, O. S., and V. A. Talakhadze. "Mutual-inductance linear-displacement sensor." Measurement Techniques 31, no. 10 (October 1988): 950–51. http://dx.doi.org/10.1007/bf00864871.

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Hussain, Iftikhar, and Dong-Kyun Woo. "Simplified Mutual Inductance Calculation of Planar Spiral Coil for Wireless Power Applications." Sensors 22, no. 4 (February 16, 2022): 1537. http://dx.doi.org/10.3390/s22041537.

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In this paper, a simplified method for the calculation of a mutual inductance of the planar spiral coil, motivated from the Archimedean spiral, is presented. This method is derived by solving Neumann’s integral formula in a cylindrical coordinate system, and a numerical tool is used to determine the value of mutual inductance. This approach can calculate the mutual inductances accurately at various coaxial and non-coaxial distances for different coil geometries. The calculation result is compared with the 3D finite element analyses to verify its accuracy, which shows good consistency. Furthermore, to confirm it experimentally, Litz wire is used to fabricate the sample spiral coils. Finally, the comparison of a simplified method is also studied relative to the coupling coefficient. The accuracy of the calculation results with the simulation and the measurement results makes it a good candidate to apply it in wireless power applications.

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Ebadi, Fatemeh, Mohammad Mardaneh, and Akbar Rahideh. "Inductance analytical calculations of brushless surface-mounted permanent-magnet machines based on energy method." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 2 (March 4, 2019): 536–56. http://dx.doi.org/10.1108/compel-04-2018-0198.

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Purpose This paper aims to show the proposed energy method for inductance calculation is valid for any number of poles, phases and any winding layout. Design/methodology/approach A two-dimensional (2-D) analytical energy-based approach is presented to calculate self-inductances and mutual inductances of brushless surface-mounted permanent-magnet machines. Findings The proposed calculation procedure is valid for brushless permanent-magnet machines with slotted or slotless stator structure. Comparisons between energy method and flux linkage method are presented based on simulation and experimental results. It shows that the energy method has an excellent agreement with the result obtained from finite element method (FEM) and experimental study. Originality/value This paper compares energy-based method with flux linkage method and FEM for inductance calculations in slotless and slotted permanent-magnet motors. The relations for inductance calculation are presented which are obtained based on 2-D analytical representation of magnetic field.

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Nakamura, Takuto ,,, Takuya Hirata, Eko Setiawan, and Ichijo Hodaka. "A Practical Method for Estimating Mutual Inductance in Wireless Power Transmission System." International Journal of Circuits, Systems and Signal Processing 16 (June 1, 2022): 1027–34. http://dx.doi.org/10.46300/9106.2022.16.125.

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This paper proposes a practical method for estimating mutual inductance in wireless power transmission system based on the principle of electromagnetic induction. Conventional estimation methods utilize a voltage, current, and phase of current in transmitter side, while our method requires only an amplitude of the voltage and current in transmitter side. Our method is designed so that the mutual inductance can be estimated under challenging situation which there is a measurement noise. Numerical simulations show that if the system has a small mutual inductance, a relative error and standard derivation of estimated mutual inductance tend to become larger. However, it will be shown that these factors can be improved to make a voltage of voltage source in the system high.

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Zong, Wei, and Yu Shan Zhang. "Mutual Capacitance Element." Applied Mechanics and Materials 448-453 (October 2013): 2105–8. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.2105.

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In order to realize the integration of electronic circuits and avoid the electromagnetic interference between mutual inductance components and periphery circuit, the paper put forward a new kind of coupling element-mutual capacitance components, which were dual with mutual inductance components, according to the duality principle and the gyrator application theory. First of all, the paper used the basic electrical components-operational amplifier, resistance and capacitor to set up the circuit implementation model of mutual capacitance component, and then selected device parameters to execute theory calculation. On the basis of the previous step, a simulation software-PSpice, was used to simulate the model. Finally, comparison of two different groups of simulation data showed the correctness of the circuit model and the feasibility of the mutual capacitance component.

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Sun, Longzhao, Mingui Sun, Dianguang Ma, and Houjun Tang. "Detecting Load Resistance and Mutual Inductance in Series-Parallel Compensated Wireless Power Transfer System Based on Input-Side Measurement." International Journal of Antennas and Propagation 2018 (June 25, 2018): 1–6. http://dx.doi.org/10.1155/2018/2094637.

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In wireless power transfer (WPT) system, the variations in load resistance and mutual inductance influence the output voltage and output current, making the system deviate from its desirable operating condition; hence, it is essential to monitor load resistance and mutual inductance. Using input-side measurement to detect load resistance and mutual inductance has great advantages, because it does not need any direct measurements on the receiving side. Therefore, it can remove sensors on the receiving side and eliminate communication system feeding back the load measurements. This paper investigates load resistance and mutual inductance detection method in series-parallel compensated WPT system. By measuring input current and input voltage, the equation for calculating load resistance is deduced; when the operating frequency is lower than or equal to the receiving-side resonant frequency, the rigorous mathematical derivations prove that load resistance can be uniquely determined by using only one measurement of input current and input voltage. Furthermore, the analytical expressions for identifying load resistance and mutual inductance are deduced. Experiments are conducted to verify the proposed method.

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Paor, Annraoi M. De. "A Fluid Analogy to Mutual Inductance, Based on The Atmospheric Railway." International Journal of Electrical Engineering & Education 29, no. 2 (April 1992): 101–10. http://dx.doi.org/10.1177/002072099202900202.

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A fluid analogy to mutual inductance, based on the atmospheric railway It is shown that the propulsion system for the Kingstown (now Dùn Laoghaire) to Dalkey Atmospheric Railway (1843–1854) is a translational counterpart to an idling turbine analogue for self-inductance. A two-pipeline atmospheric system driving a whirligig is proposed as an analogue for mutual inductance.

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Pei, Yao, Yann Le Bihan, Mohamed Bensetti, and Lionel Pichon. "Comparison of Coupling Coils for Static Inductive Power-Transfer Systems Taking into Account Sources of Uncertainty." Sustainability 13, no. 11 (June 2, 2021): 6324. http://dx.doi.org/10.3390/su13116324.

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The present work aims at comparing different coupling coils by taking into account sources of uncertainty for static inductive power-transfer (SIPT) systems. Due to the maximum transmission efficiency for the SIPT system related to the mutual inductance between coils, the key point here is to make use of a sparse polynomial chaos expansion (PCE) method to analyze the mutual inductance between the transmitter and the receiver. A fast postprocess-sensitivity analysis allowed the identification of which source of uncertainty was the most influential factor to the mutual inductance for different coupling coils. Furthermore, in view of the relationship between the maximum transmission efficiency and the ratio of the length of wires of a coil and the mutual inductance, circular coupling coils should be recommended for SIPT systems.

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Dumont de Chassart, Corentin, Maxence Van Beneden, Virginie Kluyskens, and Bruno Dehez. "Semi-analytical determination of inductances in windings with axial and azimuthal wires." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 35, no. 1 (January 4, 2016): 2–15. http://dx.doi.org/10.1108/compel-12-2014-0340.

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Purpose – Optimizing an electromechanical device often requires a significant number of evaluations of the winding inductance. In order to reduce drastically the computing costs associated with the calculation of inductances, the purpose of this paper is to propose a semi-analytical toolbox to calculate inductances in any winding made of axial and azimuthal wires and lying in the air. Design/methodology/approach – First, this paper presents a typical rectangular, spiral winding and the way its geometry is approximated for inductance calculations. Second, the basic formulas to calculate inductances of various windings arrangements are provided. The analytical model of the inductances is exposed, and the formulas for the inductances are derived. Finally, a validation is proposed by comparing analytical predictions to 3D FE simulations results and experimental measurements. Findings – The semi-analytical predictions agree with the finite element methods (FEM) and experimental data. Furthermore, the calculation of the inductances was done using much fewer resources with the semi-analytical model than with FEM. Research limitations/implications – The analytical formula for the mutual inductance between coaxial circular arcs is a series with an infinite number of terms which should be truncated appropriately. This is necessary because the term are found using a recurrence formula which may be unstable for a high number of terms. Practical implications – The paper includes implications for the optimization of electromechanical devices comprising windings made of axial and azimuthal pieces of wires. Originality/value – The main original result resides in the analytical expression of Neumann’s integral for the inductance between two coaxial circular arcs.

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Jaraczewski, Marcin, and Tadeusz Sobczyk. "Leakage Inductances of Transformers at Arbitrarily Located Windings." Energies 13, no. 23 (December 7, 2020): 6464. http://dx.doi.org/10.3390/en13236464.

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The article presents the calculation of the leakage inductance in power transformers. As a rule, the leakage flux in the transformer window is represented by the short-circuit inductance, which affects the short-circuit voltage, and this is a very important factor for power transformers. This inductance reflects the typical windings of power transformers well, but is insufficient for special transformers or in any case of the internal asymmetry of windings. This paper presents a methodology for calculations of the self- and mutual-leakage inductances for windings arbitrarily located in the air window. It is based on the 2D approach for analyzing the stray field in the air zone only, using discrete partial differential operators. That methodology is verified with the finite element method tested on real transformer data.

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Zhou, Xinglong, Baichao Chen, Yao Luo, and Runhang Zhu. "Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils." Energies 12, no. 3 (February 12, 2019): 566. http://dx.doi.org/10.3390/en12030566.

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Mutual inductance between finite-length coaxial helical filaments and tape coils are presented analytically. In this paper, a mathematical model for finite-length coaxial helical filaments is established, and subsequently, the mutual inductance of the filaments is derived in a series form, containing a one-dimensional integral. The mutual inductance expression of the filaments is then generalized for a tape conductor. When the tape conductor of each coil is closely wound, then the inverse Mellin transform is further utilized for transforming the generalized integral in the mutual inductance expression into a series involving hypergeometric functions, for increasing the calculation speed. Finally, the obtained expressions are compared numerically with the existing analytical solutions and finite-element simulation in order to verify the correctness and general applicability of the results. In this paper, as all the mutual-inductance analytical expressions are concise with fast convergence, it is easy to obtain the numerical results in software, such as Mathematica. The expressions presented in this paper are applicable to any corresponding geometric parameter, and are thereby more advantageous compared to the existing analytical methods. In addition, evaluation by these expressions is considerably more efficient, as compared to finite element simulation.

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Koledintseva, Marina Y., James L. Drewniak, Thomas P. Van Doren, David J. Pommerenke, Matteo Cocchini, and David M. Hockanson. "MUTUAL EXTERNAL INDUCTANCE IN STRIPLINE STRUCTURES." Progress In Electromagnetics Research 80 (2008): 349–68. http://dx.doi.org/10.2528/pier07111503.

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Chan, P. W. "Mutual inductance in charging platform system." Electronics Letters 42, no. 25 (2006): 1481. http://dx.doi.org/10.1049/el:20062403.

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Prasad, M., R. R. Rao, and A. K. R. Chaudhuri. "A versatile AC mutual inductance bridge." Journal of Physics E: Scientific Instruments 19, no. 12 (December 1986): 1013–16. http://dx.doi.org/10.1088/0022-3735/19/12/004.

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Coffey, Mark W. "Mutual inductance of superconducting thin films." Journal of Applied Physics 89, no. 10 (May 15, 2001): 5570–77. http://dx.doi.org/10.1063/1.1363687.

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Nemes, András, David Lo Jacono, Hugh M. Blackburn, and John Sheridan. "Mutual inductance of two helical vortices." Journal of Fluid Mechanics 774 (June 8, 2015): 298–310. http://dx.doi.org/10.1017/jfm.2015.288.

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The pairing of helical tip vortices in the wake of a two-bladed rotor is investigated experimentally. Time-resolved particle image velocimetry measurements provide a clear temporal and spatial evolution of the vortical structures, highlighting the transition to instability and the effect of tip speed ratio and helical spacing. The temporal growth rate of the vortex system instabilities were measured and are shown to be dependent on helical spacing. The evolution of filaments and their growth rates support the argument that the mutual inductance mode is the driving mechanism behind the transition to an unstable wake. The measurements are in agreement with maximum growth rates predicted by linear stability analyses of single- and double-helix arrangements. In addition, the wake topology due to varying rotor load through tip speed ratio variation is shown to play an important role in the initial symmetry breaking that drives the wake transition.

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Cristina Barroso, Ana, and J. P. Silva. "Mutual inductance between piecewise-linear loops." American Journal of Physics 81, no. 11 (November 2013): 829–35. http://dx.doi.org/10.1119/1.4818278.

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Lee, Sangyong, Jeonho Lee, Jongkyum Kwon, and Se-Kyo Chung. "An Improved Estimation Method of Mutual Inductance Angle for a Two-Dimensional Wireless Power Transfer System." Symmetry 13, no. 3 (March 10, 2021): 448. http://dx.doi.org/10.3390/sym13030448.

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The improvement of power transmission efficiency (PTE) is an important issue in the design of a wireless power transfer (WPT) system. The WPT system with multiple transmitting (Tx) or receiving (Rx) coils is a way to improve the PTE. This paper deals with the estimation of the mutual inductance angle for a two-dimensional (2D) WPT system with two Tx coils and one Rx coil. The mutual inductance angle is one of the most important parameters to determine the PTE in the 2D WPT system. The condition for the maximum PTE is investigated and the mutual inductance angle is defined for the 2D WPT system. An improved estimation method of the mutual inductance angle is proposed based on the phase-locked loop (PLL) technique using the voltages and currents of the Tx coils. The simulation and experimental results are provided to validate the effectiveness of the proposed method.

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Deepthi, Suma, V. Sumadeepthi, and K. Rama. "A New Approach for Determining the Cost Allocation by Considering Transmission Line Mutual Inductance for Multilateral Contracts." International Journal of Power Electronics and Drive Systems (IJPEDS) 9, no. 3 (September 1, 2018): 1304. http://dx.doi.org/10.11591/ijpeds.v9.i3.pp1304-1310.

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<p>Addressing loss due to transmission and its cost allocation in deregulated electricity market is an essential issue. Independent System Operator (ISO) provides the active power loss from the generators and the associated cost is allocated to the concerned parties in a fair way. The generators and loads participate in the loss/cost allocation process. The highlight of the paper is that the effect of mutual inductance (MI) that exists on transmission line in transmission loss/cost allocation process for multlateral contracts is illustrated. To demonstrate the effect of mutual inductance, the results of existing loss allocation methods like penalized quoted cost (PQC) based approach are discussed. Effect of mutual inductance is presented using an IEEE 30 bus system. The simulation results are carried out using MATLAB R2014a. The result shows that mutual inductance has a significant impact on transmission loss and hence cannot be ignored.</p>

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Li, Yan Hong, and Xiu Quan Liu. "Study on the Wireless Power Transmission Technology for the Implantable Cardiac Pacemaker." Applied Mechanics and Materials 525 (February 2014): 276–81. http://dx.doi.org/10.4028/www.scientific.net/amm.525.276.

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The working principle of a Wireless Power Transmission technology (WPT) system of the implantable cardiac pacemaker was introduced. Then, based on Ansoft Maxwell software, the three-dimensional finite element model of the WPT system was established. Finally the influence of some parameters, such as the gap and radial migration of the primary and secondary winding, ferrite core, working frequency on the self - inductance, mutual inductance, and the coupling performance were studied. The results show that with the gap or radial migration increasing, the self- inductance is almost same, but the mutual inductance and coupling coefficient decrease; the ferrite core may significantly enhance the inductance and coupling performance; the inductance and coupling coefficient has nothing to do with the working frequency.

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Romlie, Mohd Fakhizan, Kevin Lau, Mohd Zaifulrizal Zainol, Mohd Faris Abdullah, and Ramani Kannan. "Performance of Inductive Coupled Power Transfer Versus the Coil Shape - Investigation using Finite Element Analysis." MATEC Web of Conferences 225 (2018): 01017. http://dx.doi.org/10.1051/matecconf/201822501017.

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The objective of this paper is to investigate the impact of the spiral coil shape of inductive coupled power transfer on its performance. The coil shapes evaluated are: circular, square and pentagon spiral shapes. The coils are modelled in Ansoft Maxwell software. Simulations are carried out to determine the mutual inductance, coupling coefficient and magnetic flux density. The performance in term of magnetic flux density, mutual inductance and coupling coefficient of the three coils shapes are compared. Of the three shapes, the pentagon is shown to have the best performance in term of its mutual inductance, coupling coefficient and magnetic flux density.

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Aebischer, H. A., and B. Aebischer. "Improved Formulae for the Inductance of Straight Wires." Advanced Electromagnetics 3, no. 1 (September 8, 2014): 31. http://dx.doi.org/10.7716/aem.v3i1.254.

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The best analytical formulae for the self-inductance of rectangular coils of circular cross section available in the literature were derived from formulae for the partial inductance of straight wires, which, in turn, are based on the well-known formula for the mutual inductance of parallel current filaments, and on the exact value of the geometric mean distance (GMD) for integrating the mutual inductance formula over the cross section of the wire. But in this way, only one term of the mutual inductance formula is integrated, whereas it contains also other terms. In the formulae found in the literature, these other terms are either completely neglected, or their integral is only coarsely approximated. We prove that these other terms can be accurately integrated by using the arithmetic mean distance (AMD) and the arithmetic mean square distance (AMSD) of the wire cross section. We present general formulae for the partial and mutual inductance of straight wires of any cross section and for any frequency based on the use of the GMD, AMD, and AMSD. Since partial inductance of single wires cannot be measured, the errors of the analytical approximations are computed with the help of exact computations of the six-dimensional integral defining induction. These are obtained by means of a coordinate transformation that reduces the six-dimensional integral to a three-dimensional one, which is then solved numerically. We give examples of an application of our analytical formulae to the calculation of the inductance of short-circuited two-wire lines. The new formulae show a substantial improvement in accuracy for short wires.

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Fourie, Coenrad J., and Kyle Jackman. "High-fidelity circuit simulation of AQFP circuits through compact models extracted from layout." Journal of Physics: Conference Series 2323, no. 1 (August 1, 2022): 012034. http://dx.doi.org/10.1088/1742-6596/2323/1/012034.

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Abstract Adiabatic Quantum Flux Parametron (AQFP) superconductor logic circuits rely on magnetic coupling between the gate and clock and control lines to function. Circuit designers start by designing a circuit netlist, selecting parameters to fit design objectives, optimizing the netlist in simulation and then progressing to integrated circuit layout. Hand-designed netlists mostly do not contain all the mutual inductances between inductors. The lack of a complete set of mutual inductances can limit the accuracy of the designed netlist. For a circuit netlist to be an exact representation of the layout, the number of inductors should be equal to the number of fundamental cycles in the netlist graph and all inductors should be coupled. In this paper, we show that full-circuit inductance extraction of AQFP layout where self and mutual inductances are specified by the designer produces small but possibly significant errors due to mismatch between the design schematic and the layout. With compact simulation model extraction, which we added to the InductEx tool chain, a much more accurate simulation model that includes all mutual inductances can be obtained to verify circuit performance after layout. We propose compact model extraction as the final step in cell library characterisation.

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Woo, Dong-Hun, Hwa-Rang Cha, and Rae-Young Kim. "Resonant Network Design Method to Reduce Influence of Mutual Inductance between Receivers in Multi-Output Omnidirectional Wireless Power Transfer Systems." Energies 13, no. 21 (October 23, 2020): 5556. http://dx.doi.org/10.3390/en13215556.

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Many studies have been conducted on multi-output systems that transfer power to multiple receivers in conventional planar-type wireless power transfer (WPT) systems; however, few studies and analyses have taken into account the mutual inductance between receivers in multi-output omnidirectional WPT systems. In this paper, the correlation between the mutual inductance between receivers and the power transfer efficiency (PTE) in a multi-output omnidirectional WPT system is analyzed, and a limitation in terms of a reduction in the PTE with an increase in the influence of the mutual inductance between the receivers is presented. To solve this problem, a resonant network design method is proposed to reduce the influence of mutual inductance between receivers, and appropriate canceling capacitor values are selected using the weighted sum method among multi-objective optimization methods. The proposed method is through simulations and experiments, and it presents the potential for improvement in the problems that occur when transferring power to multiple receivers.

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Babic, Slobodan. "Analytical and Semi-Analytical Formulas for the Self and Mutual Inductances of Concentric Coplanar Ordinary and Bitter Disk Coils." Physics 3, no. 2 (April 26, 2021): 240–54. http://dx.doi.org/10.3390/physics3020018.

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In this paper, analytical and semi-analytical formulas are presented for the self- and mutual inductance of thin ordinary disk coils and thin Bitter disk coils. The coils lie concentrically in a plane. The ordinary coils are coils with constant current density. The current density of a current carrying Bitter disc is not uniform across its cross-sectional area, but it is a function of the ratio of the inner diameter of the disk to an arbitrary radius within the disk. In this paper, we show the possibility to calculate the mutual and self-inductance of thin disk coils from the real coils of the cross-sections using some valuable conditions. The formulas for the mutual inductance and the self-inductance were obtained in the semi-analytic form as the combination of the elliptic integral of the second kind and a simple integral for the ordinary disk coils. The mutual inductance and self-inductance were obtained in the analytical form as the elliptic integral of the second kind for the Bitter disk coils. The formula for the self-inductance of the ordinary full disk was obtained in the close form. All formulas are given in remarkably simple form and give perfectly accurate results with a significantly small computational time. All cases of either regular or singular (disks in contact or overlapping) are covered. Many presented examples show the excellent numerical agreement with previously published methods.

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Jąderko, Andrzej, and Jędrzej Pietryka. "Convergence of the identification algorithm applied to the mutual inductance of the induction motor." Archives of Electrical Engineering 61, no. 3 (September 1, 2012): 337–45. http://dx.doi.org/10.2478/v10171-012-0027-x.

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Convergence of the identification algorithm applied to the mutual inductance of the induction motor A new observer of induction motor state variables is proposed in the paper. A nonlinearity of the main magnetic path is expressed as a function of a properly chosen parameter versus the position vector length. The value of the mutual inductance received in the identification algorithm is calculated exploiting the estimated values of the state variables. The coefficients appearing in the differential equations of the observer system are modified in each step of the algorithm on the basis of the calculated mutual inductance. The analysis of convergence of the identification algorithm is shown in this paper.

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Snit’ko, I. S., A. I. Tikhonov, A. V. Stulov, and V. E. Mizonov. "Development of model of transient modes taking into account mutual inductance of scattering fields for implementation of digital twin of transformer." Vestnik IGEU, no. 4 (August 31, 2021): 47–56. http://dx.doi.org/10.17588/2072-2672.2021.4.047-056.

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Development of the refined mathematical models of power transformers (digital twins), which make it possible to calculate arbitrary modes of operation of these devices with high accuracy and increased speed is an urgent task. Currently, such problems are solved using simulation packages such as MatLab Simulink. One of the disadvantages of the existing simulation models of the transformer is the assumption that own leakage inductance of the windings is used. This assumption is not always acceptable. Thus, the purpose of this article is to develop models of transformers using matrices of mutual inductance of the scattering field. The finite element method is used to calculate the magnetic field in a 2D formulation, implemented by means of the EMLib library, as well as simulation methods with the MatLab Simulink package are applied. The authors have estimated the features and basic assumptions while developing refined mathematical models of power transformers of various designs (two- and three-winding). It makes possible to ensure the required accuracy when simulating transient and emergency modes of transformer operation. Field models have been developed to determine the own and mutual scattering inductance matrices. Simulation models of transformers of various designs with the use of winding leakage inductance matrices have been developed. The results of simulation of dynamic processes in a transformer in various modes are presented. Comparison of the results of the operation of models with matrices of mutual inductances and without them is carried out. The results of the research can be used during the design of power transformers in design companies and in production environment. It is also possible to use the developed models during operation of power transformers for the analysis of static and dynamic modes of operation of sections of electrical networks.

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Xu, Jiazi, Qunjing Wang, Guoli Li, Rui Zhou, Yan Wen, Lufeng Ju, and Sili Zhou. "Sensorless Posture Detection of Reluctance Spherical Motor Based on Mutual Inductance Voltage." Applied Sciences 11, no. 8 (April 14, 2021): 3515. http://dx.doi.org/10.3390/app11083515.

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In this paper, a sensorless rotor posture detection method based on the mutual inductance voltage of the stator coil is proposed to simplify the position detection element of a reluctance spherical motor. Firstly, the numerical relationship between the stator/rotor pole misalignment angle and the mutual inductance voltage of the stator coil is analyzed, which is used as the basis for judging the spatial position of the rotor. Secondly, an experimental platform is designed to verify the consistency between the calculated value and the experimental value of the mutual inductance voltage and to determine the appropriate excitation signal. Thirdly, based on the real-time voltages generated by the stator coil mutual inductance, an intelligent algorithm is used to invert the 3-DoF (degree-of-freedom) position angle of the spherical rotor combined with the motor structure constraints. The experimental results show that the detection method has a good on-line detection effect, and the population standard deviation is within 1.8° Therefore, the developed technique can be used for replacing the position detection method with sensors.

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Bendimerad, Salah-Eddine, Selma Baghli, Abdelghani Ayad, and Amar Tilmatine. "Mutual inductance of two coaxial rectangular PCB coils incorporating magnetic layer." Journal of Electrical Engineering 72, no. 5 (September 1, 2021): 287–96. http://dx.doi.org/10.2478/jee-2021-0041.

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Abstract The wireless connection distance between the transmission and reception coils of printed circuit boards (PCB) influences the mutual inductance and affects circuit performance. In this study, the mutual inductance M of PCB coils was investigated, and two analytical methods were presented for calculating the mutual inductance between two coaxial rectangular planar PCB coils incorporating magnetic layer. The results were acquired through calculations by using the Neumann integral and Biot-Savart methods. The complete integral calculations and detailed demonstrations of the two methods are presented. The obtained formulas were introduced in some examples of coils with different number of turns. The analytical and experimental results were compared, and a strong agreement between them was observed.

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Fan, Hong-Yi, and Xiang-Guo Meng. "Quantum disentangling operator and squeezed vacuum state’s noise of a mesoscopic two-loop LC circuit with mutual inductance." International Journal of Modern Physics B 34, no. 12 (May 10, 2020): 2050121. http://dx.doi.org/10.1142/s0217979220501210.

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Quantum disentanglement refers to the transformation of entangled quantum system into disentangled system via some physical processes. In this paper, we search for quantum disentangling operator for the mesoscopic two-loop [Formula: see text] circuit with mutual inductance [Formula: see text]. It is this mutual inductance that causes quantum entanglement. By virtue of the method of integration within ordered product (IWOP) of operators, we find the disentangling operator and deduce the energy level (characteristic frequency). The quantum noise expression of squeezed vacuum state is also derived based on which we see that the large number of quantum entanglement engendered by the mutual inductance is, the more quantum noise produces in the mesoscopic circuit.

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Parise, Mauro, Fabrizio Loreto, Daniele Romano, Giulio Antonini, and Jonas Ekman. "Accurate Computation of Mutual Inductance of Non Coaxial Pancake Coils." Energies 14, no. 16 (August 11, 2021): 4907. http://dx.doi.org/10.3390/en14164907.

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The computation of self and mutual inductances of coils is a classic problem of electrical engineering. The accurate modeling of coupled coils has received renewed interest with the spread of wireless power transfer systems. This problem has been quite well addressed for coplanar or perfectly coaxial coils but it is known that the misalignment conditions easily lead to a sharp decrease in the efficiency. Hence, it is crucial to take misalignment into account in order to properly design the overall wireless power transfer system. This work presents a study to compute analytically the mutual inductance of non-coaxial pancake coils with parallel axes. The accuracy of the proposed methodology is tested by comparison with the numerical results obtained using the tool Fast-Henry. Then, a wireless power transfer system, comprising a full bridge inverter is considered, showing the impact of the misalignment on the coupling between two pancake coils and, thus, between the source and the load.

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Zipper, E., J. Dajka, and M. Szopa. "Mutual Inductance and Selfinductance in Mesoscopic Systems." Acta Physica Polonica A 102, no. 3 (September 2002): 419–28. http://dx.doi.org/10.12693/aphyspola.102.419.

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Crawford, Frank S. "Mutual inductance M12=M21: An elementary derivation." American Journal of Physics 60, no. 2 (February 1992): 186. http://dx.doi.org/10.1119/1.16941.

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Imielski, A., and S. Wąsowicz. "Mutual inductance coefficient of air-core transformers." Archiv für Elektrotechnik 71, no. 2 (March 1988): 69–75. http://dx.doi.org/10.1007/bf01574041.

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Soltan, Ahmed, Ahmed G. Radwan, and Ahmed M. Soliman. "Fractional-order mutual inductance: analysis and design." International Journal of Circuit Theory and Applications 44, no. 1 (February 9, 2015): 85–97. http://dx.doi.org/10.1002/cta.2064.

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Tropp, James. "Mutual Inductance in the Bird-Cage Resonator." Journal of Magnetic Resonance 126, no. 1 (May 1997): 9–17. http://dx.doi.org/10.1006/jmre.1997.1149.

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Aswad, Raya A. K., and Bassim M. H. Jassim. "Impact of Induction Motor Faults on the Basic Parameters' Values." Journal of Engineering 26, no. 12 (December 1, 2020): 66–80. http://dx.doi.org/10.31026/j.eng.2020.12.04.

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Unlike fault diagnosis approaches based on the direct analysis of current and voltage signals, this paper proposes a diagnosis of induction motor faults through monitoring the variations in motor's parameters when it is subjected to an open circuit or short circuit faults. These parameters include stator and rotor resistances, self-inductances, and mutual inductance. The genetic algorithm and the trust-region method are used for the estimation process. Simulation results confirm the efficiency of both the genetic algorithm and the trust-region method in estimating the motor parameters; however, better performance in terms of estimation time is obtained when the trust-region method is adopted. The results also show the possibility of extracting fault signatures from the motor's parameter values because each type of the mentioned faults has a different impact on these parameters. Under a 10% short circuit fault condition, the mutual inductance and rotor resistance deviate by almost 10% from their original values to lower values. While the stator resistance noticeably reduces by up to 20% during the open circuit fault condition.

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Journal articles on the topic 'Mutual inductance'

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