Mathematical Model of a Thyristor-Based Frequency Divider Using a Single-Phase Bridge Rectifier
DOI:
https://doi.org/10.15407/fmmit2024.39.106Keywords:
thyristor-based frequency divider, single-phase bridge rectifier, mathematical model, extrapolation ε-algorithmAbstract
This paper introduces a comprehensive mathematical model for a thyristor-based frequency divider,
employing a single-phase bridge rectifier as the core component. The primary goal of this research
is to enhance the quality of the output signal in power conversion and control systems by stabilizing
sinusoidal waveforms and minimizing harmonic distortions. Such improvements are critical for
achieving high efficiency, stability, and performance across a broad spectrum of operational
frequencies. The model innovatively leverages logical variables to simulate thyristors as ideal
switches, replacing the traditional RLC-circuit-based modeling approaches. This approach
eliminates the computational challenges posed by stiff differential equations, enabling more efficient
and precise numerical integration. By capturing the switching dynamics of thyristors and the
nonlinear interactions within the system, the proposed model offers a highly accurate representation
of the physical processes governing the operation of the frequency divider. Simulation results
validate the efficacy of the model in reproducing key operational characteristics, such as the stability
of output signals and the reduction of harmonic distortions.
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