A General Method for Estimating Coupling Coefficients in Multicoil Wireless Power Transfer Based on Harmonic Informatization
Jianghao Hu, Jiankang Zhao, Haihui Long, Fei Gao
Abstract
As the core parameter of wireless power transfer (WPT), coupling coefficient ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> ) estimation can significantly improve the system characteristics. However, the relationship between <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> and electrical signals is different under different WPT topologies, so a traditional method can only be applied to one type of topology, especially due to the large number of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> in multicoil WPT, the traditional fundamental signal is not sufficient to solve all multicoil <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> . To solve the shortcomings of traditional methods in generality, a general method of estimating <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> based on harmonic informatization is proposed in this article. This method uses high-frequency harmonics and bandpass/stop filters to simplify the circuit, so that <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> can be simply estimated only by harmonic signal. Compared with traditional methods, this method can be applied to all the topologies (including multicoils). Also, as the circuit is simplified under high-frequency harmonics, estimating <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> requires only a few parameters for simple operations. Thus, harmonic estimation <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> offers better accuracy, speed, and cost than traditional complex methods under fundamental. This article also experimented with <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> estimation to verify the effectiveness and accuracy of the method.