Nonlinear Resonance Circuit Bandwidth Wireless Power
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Solution Overview
Problem
High quality factor (Q) resonators in wireless power transfer and harvesting systems have limited bandwidth and are susceptible to frequency misalignment and coupling variations, leading to reduced performance due to their linear resonance nature.
Innovation Solution
A nonlinear resonance circuit is introduced, comprising an inductor and a capacitor where one or both are nonlinear, described by a second-order differential equation with cubic-order nonlinearity, enhancing bandwidth while maintaining high resonance amplitude, and utilizing a Duffing equation to achieve frequency-dependent resonant behavior.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of energy
If high quality factor (Q) resonators are used in wireless power transfer systems, then power transfer efficiency is improved, but bandwidth is limited and the system becomes susceptible to frequency detuning and coupling variations
Solution Approach 1:
The patent introduces a nonlinear element (varactor diode) into the resonant circuit, transforming it from a static linear resonator to a dynamic nonlinear resonator. The nonlinear capacitance varies with voltage, enabling the resonant frequency to adapt dynamically to coupling variations and frequency detuning, thus maintaining high efficiency across a wider bandwidth range
Solution Approach 2:
The patent changes the fundamental parameter of the resonator from linear to nonlinear by incorporating a varactor diode. This parameter change allows the resonant frequency and impedance characteristics to vary with operating conditions, resolving the contradiction between high Q-factor efficiency and bandwidth adaptability
2Loss of energy
If high quality factor (Q) resonators are used in wireless power harvesters, then rectification efficiency is improved through Q multiplication, but the system becomes vulnerable to frequency misalignment and frequency drift
Solution Approach 1:
The nonlinear resonator provides implicit feedback mechanisms where the varying voltage across the varactor diode automatically adjusts the capacitance to compensate for frequency deviations. This self-regulating behavior maintains resonance conditions despite frequency drift or misalignment, improving reliability without active control circuits
Solution Approach 2:
The nonlinear resonator serves itself by using the voltage signal present in the circuit to automatically adjust its own capacitance parameter. This self-adjustment capability allows the system to maintain optimal rectification efficiency across varying frequency conditions without external intervention
3Reliability
If active frequency-tracking mechanisms are designed for wireless power harvesters, then frequency misalignment is compensated, but power consumption increases and system complexity and cost increase
Solution Approach 1:
The nonlinear resonator performs frequency tracking autonomously through its inherent voltage-dependent capacitance characteristic. The circuit uses its own operating voltage to automatically adjust its resonant frequency, eliminating the need for separate active tracking circuits and their associated power consumption and complexity
Solution Approach 2:
The patent extracts the frequency-tracking function from a separate active control circuit and embeds it directly into the passive resonator structure through the nonlinear varactor element. This integration eliminates the need for complex tracking circuits while maintaining frequency alignment capability
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The nonlinear resonance circuit provides a wider bandwidth and improved stability in resonance amplitude, reducing sensitivity to frequency detuning and coupling variations, allowing for efficient wireless power transfer and harvesting with reduced complexity and cost.
Implementation Method 1
a capacitor (13), where one or both of the inductor (11) and the capacitor (13) are nonlinear
Implementation Method 2
an inductor (11) and a capacitor (13) electrically coupled to the inductor (11), where one or both of the inductor (11) and the capacitor (13) are nonlinear
Implementation Method 3
High quality factor (Q) resonators are widely used in wireless power harvesting and wireless power transfer systems
Implementation Method 4
A high quality factor (Q) resonator placed in the impedance matching network in-between the antenna and the rectifier increases the RF voltage through Q multiplication
Data Source
AI summary
A nonlinear resonator is presented that enhances the bandwidth while providing high resonance amplitude. The nonlinear resonance circuit is comprised of an inductor electrically coupled to a capacitor, where either the inductor or capacitor is nonlinear. Response of the nonlinear resonance circuit to an excitation signal is described by a family of second-order differential equations with cubic-order nonlinearity, known as Duffing equations. In one aspect, the nonlinear resonator is implemented by a nonlinear dielectric resonator.