Proceedings of International Conference on Applied Innovation in IT  ·  2026/07/22  ·  Vol. 14  ·  Issue 4  ·  pp. 971–978
Symbolic Stability Analysis of Impulse Energy Converters in Parallel Operation Mode Using a Digital Linear Model
Lyudmila Bayjonova and Vladimir Filin
A methodology for applying computer programs to symbolic stability analysis of parallel-operating electric energy pulse converters is proposed. A method is proposed for interaction between the programs FASTMEAN and Maple aimed at finding an analytical expression for the equivalent operator transfer function that describes stability conditions of a complex dynamic system. The simulation program FASTMEAN used in Russian universities of telecommunications has a block for symbolic analysis capable of generating analytical expressions for the Laplace transform determinant of a circuit, currents, and voltages in complex electronic circuits. A linear computational model of parallel connection of PWM converters suitable for stability analysis was developed. Using this program, analytical expressions were obtained for the main determinant of a linear circuit containing N identical converter modules with negative feedback. It is suggested that these expressions be transferred into the symbolic mathematics software Maple for their structural transformation and mathematical processing. As a result of formula processing by Maple, an analytical expression of equivalent operator transfers function B(p) along the feedback loop describing multi-channel system stability is generated. For an arbitrary number of parallel-connected pulse converters, a general analytical expression for B(p) is found from which frequency dependence graphs of magnitude and phase are constructed. Based on these dependencies, stability margins of the pulsed system are evaluated. To verify the reliability of the proposed method, time-domain transient simulation modelling is performed. The proposed method of symbolic stability analysis for linear models describing the parallel operation mode of pulse converters not only predicts instability conditions for the entire system but also opens up the possibility of synthesizing optimal feedback correction circuits that provide deep feedback with a maximum number of identical modules.
Symbolic Stability Analysis Parallel Operation of Pulse Converters Circuit Determinant Operator Transfer Function via Feedback Gain and Phase Stability Margins
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