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A Symbolic Analysis Method for Steady-state Characteristics of Resonant Wireless Power Transmission System

A technology of wireless power transmission and symbolic analysis, applied in electrical components, circuit devices, electrical digital data processing, etc., can solve problems such as too large coefficient matrix, inability to obtain circuit periodic solution expressions, ignoring the size of choke inductance, etc.

Active Publication Date: 2019-08-20
SOUTH CHINA UNIV OF TECH
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Problems solved by technology

The above-mentioned existing modeling methods of class E circuits and their application circuits have shortcomings such as the coefficient matrix is ​​too large, the periodic solution expression of the circuit, the input current value, and the size of the choke inductance are not considered.

Method used

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  • A Symbolic Analysis Method for Steady-state Characteristics of Resonant Wireless Power Transmission System
  • A Symbolic Analysis Method for Steady-state Characteristics of Resonant Wireless Power Transmission System
  • A Symbolic Analysis Method for Steady-state Characteristics of Resonant Wireless Power Transmission System

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Embodiment Construction

[0056] The present invention will be further described below in conjunction with specific examples.

[0057] The symbolic analysis method for the steady-state characteristics of the resonant wireless power transmission system described in this embodiment specifically uses the basic principle and characteristics of the equivalent small parameter method to find the periodic solution expression of the state variable of the circuit that satisfies the ZVS condition, including the following step:

[0058] 1) Establish a mathematical model of a resonant wireless power transmission system for class E inverters that meets the ZVS condition;

[0059] 1.1) According to figure 1 In the circuit principle, write the piecewise linear differential equation of the wireless power transmission system:

[0060] G 1 (p)+G 2 (p)f(x)=u (1)

[0061] The capacitance and inductance on the same branch are calculated in series, where x=[i 1 i 2 i 3 v 1 v 2 v 3 ] T Indicates the state var...

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Abstract

The invention discloses a symbolic analysis method for a resonant wireless power transmission system based on a Class-E inverter. According to the method, through combination of a harmonic balance principle, a complicated solution process of a multi-state variable circuit satisfying a ZVS (Zero Voltage Switching) condition is converted into a process of matrix operation and linear equation (set) solution. Compared with an existing modeling analysis method, the method has the advantages that the peak-to-peak ripple magnitude of a state variable of a convertor and an influence of an order change of an energy storage element on a working state of the convertor can be analytically analyzed, under the condition of not increasing the orders of a state equation, a steady state periodic analytical solution of the state variable can be obtained rapidly, and the method can be used for analyzing a harmonic component of the state variable.

Description

technical field [0001] The present invention relates to the field of modeling and analysis of resonant wireless power transmission systems, in particular to a symbolic analysis method for the steady-state characteristics of a resonant wireless power transmission system that satisfies the ZVS (ZeroVoltage Switching) class E inverter condition, specifically, Utilizing the basic principle and characteristics of the equivalent small parameter method, the method of finding the periodic solution expression of the state variable of the circuit satisfying the ZVS condition. Background technique [0002] In the past, the commonly used modeling and analysis methods for Class E inverter circuits and their application circuits that meet the ZVS (Zero Voltage Switching) conditions include: the model based on the generalized average method, the discrete iterative mapping model, the piecewise linear model of the simplified circuit method, Singular perturbation method model, multi-frequency...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50H02J50/12
CPCG06F30/367G06F30/39Y02E60/00
Inventor 陈艳峰吴美玉张波
Owner SOUTH CHINA UNIV OF TECH
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