Circuit network theory of n-horizontal bridge structure

Area of Science:

• Electrical Engineering
• Circuit Theory
• Network Analysis

Background:

• Complex cascading circuit networks with embedded bridge circuits present analytical challenges.
• Existing methods may not fully capture the behavior of such intricate networks.

Purpose of the Study:

• To investigate complex n-order cascading circuit networks with embedded horizontal bridge circuits using the N-RT method.
• To derive an equivalent resistance analytical formula and analyze complex impedance characteristics.

Main Methods:

• Established an equivalent model for the n-order resistance network.
• Derived a fractional difference equation model using Kirchhoff's law.
• Employed an equivalent transformation method to simplify the fractional equation and compute its solution.

Main Results:

• Derived the effective resistance for the embedded horizontal bridge circuit network.
• Analyzed various special cases of the equivalent resistance formula, verifying the model's correctness.
• Studied the equivalent complex impedance of LC networks using Matlab visualizations.

Conclusions:

• The N-RT method provides a novel approach for analyzing complex circuit networks.
• The derived formulas and analysis offer a theoretical basis for relevant scientific research and practical applications.