<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Analysis of Transients in a Three-Level DC–DC Flying Capacitor Converter. Time Domain Approach

State University of Aerospace Instrumentation

Power Electronics and Drives

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

Analysis of Transients in a Three-Level DC–DC Flying Capacitor Converter. Time Domain Approach

Published Online: Nov 26, 2019

Page range: 33 - 45

Received: Dec 23, 2018

Accepted: Mar 13, 2019

DOI: https://doi.org/10.2478/pead-2019-0008

Keywords
Three-level DC–DC converter, Flying capacitor, Transient, Natural balancing

© 2019 Boris Reznikov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Analysis of Transients in a Three-Level DC–DC Flying Capacitor Converter. Time Domain Approach

Published Online: Nov 26, 2019

Page range: 33 - 45

Received: Dec 23, 2018

Accepted: Mar 13, 2019

DOI: https://doi.org/10.2478/pead-2019-0008

KeywordsThree-level DC–DC converter, Flying capacitor, Transient, Natural balancing

© 2019 Boris Reznikov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Three-level DC–DC converter, Flying capacitor, Transient, Natural balancing