Reactance Circuit Matrix Calculation Method
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Solution Overview
Problem
Designing reactance circuits is complex due to the infinite number of connection relationships and element values, often resulting in local solutions that are not optimized, and existing methods like scattering matrices cannot accurately represent reactance circuits using resistance and reactance components.
Innovation Solution
A calculation method that optimizes admittance or impedance matrices for reactance circuits with N ports by representing elements as Γij=Γij×exp(θij), allowing for the reduction of parameters and avoiding the use of active or lossy elements, thereby simplifying the design process and avoiding local solutions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If traditional design methods are used for reactance circuits, then design flexibility is maintained, but design complexity increases and local solutions occur
Solution Approach 1:
The patent transforms the circuit design problem from determining infinite connection relationships and element values to calculating matrix elements with constrained phases (±π/2). This parameter transformation reduces the design space from continuous to discrete, enabling systematic optimization while maintaining design flexibility.
Solution Approach 2:
The patent replaces traditional circuit synthesis methods with matrix-based calculation methods. By using admittance or impedance matrices with constrained phase angles, the design process transitions from mechanical circuit construction to mathematical calculation, eliminating local solutions and reducing design complexity.
2Adaptability or versatility
If scattering matrices are used to represent reactance circuits, then general circuit analysis is enabled, but accurate representation using resistance and reactance components is lost
Solution Approach 1:
The patent applies local quality by differentiating between diagonal and off-diagonal elements of the matrix. Diagonal elements represent self-impedances/admittances with unrestricted phases, while off-diagonal elements represent mutual couplings with constrained phases of ±π/2. This localized phase constraint enables accurate representation of reactance circuit characteristics while maintaining general matrix analysis capabilities.
3Adaptability or versatility
If infinite connection relationships and element values are considered, then complete circuit design space is covered, but optimization becomes difficult and local solutions occur
Solution Approach 1:
The patent segments the circuit design problem into matrix element calculations rather than treating it as a continuous optimization problem. By representing the circuit through matrix elements with discrete phase constraints (±π/2), the infinite design space is segmented into manageable discrete options, enabling systematic exploration without getting trapped in local solutions.
Data Source
AI summary
A calculation method is executed by a computer to execute a process. The process includes acquiring a condition for calculating a first matrix of a reactance circuit having N ports Pi to which a high frequency signal is input or output, wherein i is an integer of 1 to N, and N is an integer of 2 or more, and calculating, based on the condition, the first matrix including an admittance matrix or an impedance matrix, wherein j is an integer of 1 to N, θij is −π/2 or +π/2, and an element Γij of the admittance matrix or the impedance matrix is represented by Γij=Γij×exp (θij).