Abstract
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.
Highlights
Wireless Power Transfer (WPT) technology, known as contactless power transmission (CPT), is a technology that transmits electric energy from a power source to the load without physical contact [1], and the WPT system can be widely used in internet of things(IoT) device power supply [2,3]
Conway [8] proposed a relatively simple expression for mutual inductance between air-cored circular coils under coaxial and noncoaxial conditions based on Maxwell equations, which markedly reduced the complexity of the formula
The structural model of circular coils sandwiched between 3-layer magnetic mediums is shown in Figure 1, which can be divided into three components in a sandwich structure
Summary
Wireless Power Transfer (WPT) technology, known as contactless power transmission (CPT), is a technology that transmits electric energy from a power source to the load without physical contact [1], and the WPT system can be widely used in internet of things(IoT) device power supply [2,3]. The calculation formulas for mutual inductance between circular coils with a one-sided magnetic medium and circular coils sandwiched between magnetic media are obtained under the condition of single-layer media with finite magnetic thickness [18,19]. Roshen [20] used the current imaging method to calculate the mutual inductance for two circular coils that are both sandwiched between magnetic medium of finite thickness This method was more complex and was difficult to solve with programming. JesúsAcero [21], Y.P. Su [22] and JesúsAcero [23,24] deduced mutual inductance calculation methods for circular coils sandwiched between no more than double-layer magnetic mediums, respectively; complex derivations are used to solve intermediate variables and the calculation works are difficult. The correctness of the proposed mutual inductance calculation method is verified by comparing calculated, simulated, and measured mutual inductance data
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