Multi-terminal Capacitor Equivalent Circuit Model via S-parameter Grid Topology
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Solution Overview
Problem
Existing methods are unable to derive equivalent circuit models for capacitors with three or more terminals, limiting their application in simulating and analyzing multi-terminal capacitor characteristics.
Innovation Solution
A method involving the measurement of S parameters, derivation of total impedance, creation of a two-terminal equivalent circuit model, derivation of a unit-cell model, and construction of a two-dimensional grid topology to set terminals at nodes, enabling the creation of equivalent circuit models for multi-terminal capacitors with three or more terminals.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If existing equivalent circuit model creation methods are used, then two-terminal capacitors can be modeled, but multi-terminal capacitors with three or more terminals cannot be derived
Solution Approach 1:
The patent segments the multi-terminal capacitor into multiple two-terminal equivalent circuit models, where each model represents a specific terminal pair. This segmentation allows the complex multi-terminal device to be analyzed through simpler two-terminal relationships, resolving the contradiction between handling multi-terminal complexity and maintaining model derivation feasibility
Solution Approach 2:
The patent transitions from two-terminal to multi-terminal modeling by adding dimensional complexity to the equivalent circuit structure. It introduces additional terminals and corresponding impedance relationships in multiple dimensions, enabling the model to capture the behavior of multi-terminal capacitors while systematically managing the increased complexity through structured extension of the base two-terminal model
2Measurement precision
If a comprehensive multi-terminal model is created, then accurate simulation of multi-terminal capacitor characteristics is achieved, but the modeling process becomes more complex
Solution Approach 1:
The patent divides the comprehensive multi-terminal modeling task into segmented steps: first creating individual two-terminal equivalent circuit models for each terminal pair, then systematically combining these segmented models into a complete multi-terminal representation. This segmentation reduces the overall modeling complexity while maintaining simulation accuracy through structured assembly of validated components
Solution Approach 2:
The patent performs preliminary actions by first deriving accurate two-terminal equivalent circuit models that capture essential capacitor characteristics before extending to multi-terminal configurations. This preliminary modeling of simpler two-terminal relationships establishes a validated foundation that simplifies the subsequent multi-terminal extension process while preserving simulation accuracy
Data Source
AI summary
A method for creating an equivalent circuit model of a multi-terminal capacitor including staggered positive and negative outer electrode terminals includes measuring S parameters of the multi-terminal capacitor, deriving a total impedance of the multi-terminal capacitor based on S-parameter measurement values, creating a two-terminal equivalent circuit model from the derived total impedance of the multi-terminal capacitor, deriving a unit-cell equivalent circuit model from the created two-terminal equivalent circuit model, creating a two-dimensional grid topology by combining the derived unit-cell equivalent circuit model and a parasitic-component equivalent circuit model, and setting terminals of the multi-terminal capacitor at nodes in the created two-dimensional grid topology.