Improved Calculation Method for Inductance Value of the Air-Gap Inductor

Zhang, Xinsheng; Xiao, Fei; Wang, Ruitian; Fan, Xuexin; Wang, Haichao

doi:10.1109/ciycee49808.2020.9332553

Cited by 10 publications

(4 citation statements)

References 7 publications

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“…Hw is the equivalent magnetic circuit length of the winding. The Rogowski factor is introduced to calculate the equal winding height in this section, and its expression is shown in (10) [19].…”

Section: Winding Reluctance Analysismentioning

confidence: 99%

An Accurate Calculation Method for Inductor Air Gap Length in High Power DC-DC Converters

Zeng,

Chen,

Yang

et al. 2024

Preprint

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High-power inductors are fundamental components in high-power DC-DC converters, with their performance being a crucial metric of converter efficiency. This paper presents an in-depth analysis of a novel calculation method for the air gap length in such inductors. Taking into account the effects of air gap diffusion and the winding magnetic field, an expression for the air gap diffusion radius is derived, focusing on a distributed air gap structure. Furthermore, models for calculating the air gap and winding reluctance are developed, grounded in electromagnetic field theory. An equivalent magnetic circuit model, formulated based on Kirchhoff's second law, facilitates the proposed method for air gap length calculation. This study also involves the development of 3D models for both discrete and decoupled integrated inductors. The comparison between simulation outcomes and calculated air gap lengths indicates a maximum error of less than 5%, with the minimum error being as low as 0.54%. Additionally, the discrepancy between calculated values and experimental measurements is found to be 1.11%. These results validate the accuracy and applicability of the theoretical analysis and calculation method, underscoring their significance in the design and optimization of high-power DC-DC converters.

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Section: Winding Reluctance Analysismentioning

confidence: 99%

An Accurate Calculation Method for Inductor Air Gap Length in High Power DC-DC Converters

Zeng,

Chen,

Yang

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…H w is the equivalent magnetic circuit length of the winding. The Rogowski factor is introduced to calculate the equal winding height in this section, and its expression is shown in ( 17) 19 .…”

Section: Winding Reluctance Analysismentioning

confidence: 99%

An accurate calculation method for inductor air gap length in high power DC–DC converters

Zeng,

Chen,

Yang

et al. 2024

Sci Rep

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High-power inductors are fundamental components in high-power DC–DC converters, with their performance being a crucial metric of converter efficiency. This paper presents an in-depth analysis of a novel calculation method for the air gap length in such inductors. Taking into account the effects of air gap diffusion and the winding magnetic field, an expression for the air gap diffusion radius is derived, focusing on a distributed air gap structure. Furthermore, models for calculating the air gap and winding reluctance are developed, grounded in electromagnetic field theory. An equivalent magnetic circuit model, formulated based on Kirchhoff's second law, facilitates the proposed method for air gap length calculation. This study also involves the development of 3D models for both discrete and decoupled integrated inductors. The comparison between simulation outcomes and calculated air gap lengths indicates a maximum error of less than 8%, with the minimum error being as low as − 0.79%. Compared with traditional methods, the calculation method proposed in this paper has significant advantages. Additionally, the discrepancy between calculated values and experimental measurements is found to be 1.11%. These results validate the accuracy and applicability of the theoretical analysis and calculation method, underscoring their significance in the design and optimization of high-power DC–DC converters.

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“…For the elaborated model, we used material characteristics from the M270_35A transformer sheet [12]. In the first stage of the design process, in order to obtain the desired values of the parameters in relation to the width of the air gap and the number of turns, we used our own authored software based on the particle swarm optimisation (PSO) algorithm [13,14] coupled with the magnetic equivalent circuit (MEC) method [15][16][17]. The initial optimisation of the inductor structure carried out with the use of the MEC model allowed us to narrow the space of decision variables for which the adopted design assumptions of the inductor would be met.…”

Section: Simulation Modelling Of the Inductormentioning

confidence: 99%

“…Blue is used to indicate the reluctances 𝑅 𝑔𝑖 in the areas of the working gaps 𝑔 1 and 𝑔 2 , while green represents the reluctances 𝑅 𝑟 𝑖 resulting from the action of the leakage fluxes in the system. When calculating the reluctance values relating to working air gaps, we used formulas based on the Schwarz-Christoffel transformation [15,16], while the reluctance values were determined using the formula proposed in [17]. The resistances 𝑅 of the windings were determined based on the assumed average length of a single turn, the crosssectional area of the wires and the number of turns for a given case considered in the 𝑖-th iterative step of the optimisation process.…”

Section: Simulation Modelling Of the Inductormentioning

confidence: 99%

Archives of Electrical Engineering

Gwóźdź,

Wojciechowski

2022

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This work focuses on the concept of operation and possibility of using a tuned inductor in electrical power systems with adaptive features. The idea presented here for the operation of the inductor is a new approach to the design of such devices. An example of a power adaptive system is a device for improving the quality of electricity. The negative impact of nonlinear loads on the operation of a power grid is a well-documented phenomenon. Hence, various types of "compensators" for reactive power, or for both reactive and distortion power, are used in electrical systems as a preventive measure. The concept of an inductor presented here offers wider possibilities for power compensation in power supply systems, compared to traditional solutions involving compensators based on fixed inductors. The use of the proposed solution in an adaptive compensator is only one example of its possible implementation in the area of power devices. In this work, we discuss the structure of the compensator, the basic aspects of the operation of the inductor, the results of simulation studies and the results of measurements obtained from a prototype.

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Improved Calculation Method for Inductance Value of the Air-Gap Inductor

Cited by 10 publications

References 7 publications

An Accurate Calculation Method for Inductor Air Gap Length in High Power DC-DC Converters

An Accurate Calculation Method for Inductor Air Gap Length in High Power DC-DC Converters

An accurate calculation method for inductor air gap length in high power DC–DC converters

Archives of Electrical Engineering

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