CPE Voltage-Current Approximation for Time-Domain Response Estimation
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Solution Overview
Problem
Characterizing the time-domain response of electric circuits with constant phase elements (CPEs) subjected to arbitrary excitations is challenging due to limitations in frequency spectra knowledge and computational burden, especially in modeling transient responses and complex systems like batteries in electric vehicles.
Innovation Solution
A method and apparatus that approximate the voltage-current characteristic of CPEs using discrete-time representations, decomposing continuous currents into current pulses, and estimating time-domain responses through zero-order or first-order approximations, allowing for the estimation of time-domain voltage and current responses based on these approximations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If frequency-domain analysis methods are used to characterize CPEs, then measurement precision is improved, but device complexity and computational burden increase
Solution Approach 1:
The patent segments the continuous excitation signal into discrete time intervals, representing the CPE response as a series of discrete-time representations. This segmentation allows the complex frequency-domain characterization to be broken down into manageable discrete steps, reducing computational complexity while maintaining measurement precision through systematic sampling and approximation.
2Reliability
If transient responses of complex circuits are analyzed, then reliability of circuit design is improved, but loss of time and computational resources increase
Solution Approach 1:
The patent performs preliminary characterization of the CPE by obtaining its voltage-current approximation under standardized excitations before actual circuit operation. This preliminary action stores the essential response characteristics in advance, allowing rapid prediction of transient responses during circuit operation without performing full-time complex calculations, thus improving reliability while reducing analysis time.
Solution Approach 2:
The patent changes the representation parameters from continuous frequency-domain functions to discrete-time approximations with simplified mathematical forms. By transforming the characterization parameters into a more computationally efficient format, the system can rapidly evaluate transient responses for reliability assessment without the heavy computational burden of traditional methods.
3Adaptability or versatility
If arbitrary excitations are applied to CPEs, then adaptability of the model is improved, but manufacturing precision and calculation accuracy decrease
Solution Approach 1:
The patent develops a universal discrete-time representation framework that can handle various types of excitations (step, pulse, arbitrary waveforms) through a single standardized approach. This universal model uses fundamental CPE characteristics obtained under simple excitations to predict responses under any arbitrary excitation, maintaining calculation accuracy while significantly improving model adaptability and versatility.
Data Source
AI summary
An apparatus and a method for use in an electric circuit. The apparatus includes a sampling module arranged to obtain an approximation of a voltage-current characteristic of at least one electrical circuit component of the electric circuit subjected to an excitation, wherein each of the at least one electrical circuit component is represented by a constant phase element in an equivalent circuit of the electric circuit; and a processing module arranged to estimate a time-domain voltage response and/or a time-domain current response based on the approximation of the voltage-current characteristic under the excitation applied to the electric circuit.