Inductance Equivalent Circuit with Segmented Loss for High-Frequency Simulation
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Solution Overview
Problem
Conventional equivalent circuits for inductance element analysis fail to accurately approximate characteristics beyond the resonance frequency, leading to excessively high Q values and insufficient loss approximation, making it difficult to simulate noise countermeasure functions in high frequency regions.
Innovation Solution
The proposed equivalent circuit includes a parallel connection of inductance Ls, capacitance Cp, and resistance Rp, with additional components such as capacitance Cr, inductance Lr, resistance Rs, magnetically coupled circuits, and a series-connected resistance Rc, which allows for determination of circuit constants through specific measurement-based calculations to improve accuracy across all frequency regions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the conventional equivalent circuit (without series resistance to capacitance Cp) is used, then the approximation is good for frequencies less than or equal to resonance frequency, but the Q value becomes excessively high and loss approximation becomes insufficient for frequencies greater than or equal to resonance frequency
Solution Approach 1:
The patent segments the loss representation by introducing a separate series resistance Rc connected to capacitance Cp, distinct from the parallel resistance Rp. This segmentation allows independent control of loss characteristics in different frequency regions, enabling accurate loss approximation both below and above resonance frequency without the Q value becoming excessively high.
2Measurement precision
If the conventional equivalent circuit is used, then circuit constant analysis can be performed at high accuracy for inductance L and Q value in the band region less than or equal to resonance frequency, but good simulation for verification of noise countermeasure function is not possible in the high frequency region
Solution Approach 1:
The patent divides the equivalent circuit into distinct loss representation segments: parallel resistance Rp for general loss and series resistance Rc specifically for high-frequency loss. This segmentation enables the circuit model to reliably simulate noise countermeasure functions in the high frequency region while maintaining accurate circuit constant analysis across all frequency ranges.
Solution Approach 2:
The patent applies local quality by assigning different resistance characteristics to different parts of the circuit: Rp represents loss in the parallel resonant circuit, while Rc specifically represents series loss with capacitance Cp. This local differentiation of loss characteristics enables accurate simulation of high-frequency behavior and noise countermeasure verification where it is most needed.
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
This approach enables accurate simulation and characterization of inductance elements beyond the resonance frequency, effectively approximating characteristics and verifying noise countermeasure effects, thereby enhancing the simulation's accuracy and reliability.
Implementation Method 1
a parallel circuit connecting in parallel an inductance Ls, a capacitance Cp, and a resistance Rp
Implementation Method 2
a first closed circuit including a resistance Rm1 and an inductance Lm1 so as to be magnetically coupled with the above-described inductance Ls with a coupling coefficient k1 by way of a mutual inductance M1
Data Source
AI summary
A circuit constant analysis method for an equivalent circuit of an inductance element includes determining values of various elements constituting the equivalent circuit from measured values of select electrical characteristics of the actual inductance element. The equivalent circuit includes: a parallel circuit connecting in parallel an inductance Ls, a capacitance Cp, and a resistance Rp; a capacitance Cr connected in series to said resistance Rp; an inductance Lr connected in parallel to said resistance Rp; a resistance Rs connected in series to said parallel circuit; a plurality of closed circuits including a resistance Rmi and an inductance Lmi magnetically coupled with a coupling coefficient ki by a mutual inductance Mi to said inductance Ls; and a resistance Rc connected in series to said capacitance Cp.