Abstract

The frequency splitting phenomenon and transmission characteristics have been research hotspots in the field of magnetically coupled resonance wireless power transfer (MCR-WPT). In this paper, non-linear dynamics theory was innovatively introduced into the research, and non-linear coupled transmission dynamics modelling of the MCR-WPT system was established considering the non-linearities of the compensation capacitor. The mechanism of the frequency splitting phenomenon of the MCR-WPT system was revealed through systematic mathematical analyses based on the modelling. The analysis results showed that the system usually has dual natural frequencies which are low resonance frequency and high resonance frequency. Based on non-linear dynamics theory, the transmission characteristics of the system with different non-linear parameters were discussed comprehensively in relation to the modelling. The results of the numerical simulations and theoretical analyses showed that non-linear parameters can cause the jumping phenomena with the output responses, and the output responses in the vicinities of the lower resonance frequencies were extremely sensitive to changes in the coupling coefficient. According to analyses of the linear and non-linear systems, the energy transmissions performed in the vicinity of the high resonance frequency had a wider working frequency band and a better transmission stability under non-linear conditions.

Highlights

  • Coupled resonance wireless power transfer (MCR-WPT) is becoming one of the most promising technology due to the fact of its several key benefits including its safety and ability to operate in severe environments and to charge multiple devices simultaneously

  • The results showed that the magnetically coupled resonance wireless power transfer (MCR-WPT) system usually had dual natural frequencies without considering the damping terms of the system

  • Different circuit topologies have been widely studied, and experiments [25,26,27] show that the expression of resonance frequencies of the series–series topology is the simplest compared with other circuit topologies; that it is convenient to introduce the non-linear dynamics theory

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Summary

Introduction

Coupled resonance wireless power transfer (MCR-WPT) is becoming one of the most promising technology due to the fact of its several key benefits including its safety and ability to operate in severe environments and to charge multiple devices simultaneously. Scholars have carried out many studies on theoretical analyses and practical applications of MCR-WPT which has gradually become the most efficient technology for medium–short distance wireless energy transmission. It is widely applied in electric vehicles [2], consumer electronic products [3], implantable medical instruments [4], and other lower power fields. By the impedance analysis of MCR-WPT, methods of suppressing or eliminating the frequency splitting phenomenon were subsequently discussed. Based on the equivalent circuit model, charge parameters were introduced, and non-linear coupled transmission dynamics equations of the system were established considering non-linearities of the compensation capacitor. According to analyses of linear and non-linear systems, energy transmission should be performed in the vicinity of the high resonance frequency of the frequency splitting, and results show that the system has a wider working frequency band and a better transmission stability under non-linear conditions

Circuit Model and Transmission Equations
Theory
Model Validations
Transmission
Transmission Characteristics of the Linear System
Considering Second Order Non-Linear Parameter ε1
If the frequency
Resonance curve capacitorvoltage voltage
Conclusions
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