Analysis of Transients in a Three-Level DC–DC Flying Capacitor Converter. Time Domain Approach
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Engineering Company Satprof LLC, St. Petersburg, Russian Federation
Department of Electrical and Computer Engineering School of Engineering Nazarbayev University Astana, Kazakhstan
State University of Space Instrumentation, St. Petersburg, Russian Federation
Corresponding author
Boris Reznikov   

Engineering Company Satprof LLC, St. Petersburg, Russian Federation
Power Electronics and Drives 2019;4 (39):33-45
The paper considers a discrete state-space model for transients in a three-level flying capacitor DC-DC converter. A transition matrix is obtained for a Pulse Width Modulation (PWM) period. The matrix elements are expanded into a power series using a selected small parameter. The matrix eigenvalues that determine the natural balancing dynamics transients are presented in the form of power series as well. Four separate transients are constructed based on four possible PWM period initial states (topologies). Inductor current and capacitor voltage transients are found for the voltage source power-up as the arithmetic average of the four separate transients. The discrete solutions are replaced by continuous ones. The resulting transients that are elementary functions of the circuit parameters, PWM period, and voltage reference demonstrate good agreement with the simulation results.
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