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

• Autorzy: Reznikov Boris , Ruderman Alexander , Galanina Valentina

Identyfikatory

DOI

10.2478/pead-2019-0008

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

three-level DC–DC converter; flying capacitor; transient; natural balancing

• Wydawca: De Gruyter
• Czasopismo: Power Electronics and Drives
• Rocznik: 2019
• Tom: Vol. 4 (39)
• Strony: 33--45
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Reznikov Boris

• Engineering Company Satprof LLC, Gelsingforsskaya Str., 4, Build. 1, Lit. B, St. Petersburg, 194044, Russian Federation, Russia

autor

Ruderman Alexander

• Nazarbayev University, Kabanbay Batyr Ave., 53, Nur-Sultan 010000, Kazakhstan, Israel

autor

Galanina Valentina

• State University of Aerospace Instrumentation, Bolshaya Morskaya Str. 67, Lit. A, St. Petersburg, 190000, Russian Federation, Russia

Bibliografia

• Margaliot, M., Ruderman, A. and Reznikov, B. (2011). Mathematical Analysis of A Flying Capacitor Converter: A Sampled-Data Modeling Approach. International Journal of Circuit Theory and Applications, 41(7), pp. 82–700.
• McGrath, B. P. and Holmes, D. G. (2008). Analytical Modelling of Voltage Balance Dynamics for a Flying-Capacitor Multilevel Converter. IEEE Transactions on Power Electronics, 23(2), pp. 543–550.
• Meynard, T. A., Fadel, M. and Aouda, N. (1997). Modeling of Multilevel Converters. IEEE Transactions on Industrial Electronics, 44(3), pp. 356–364.
• Meynard, T. A. and Foch, H. (1992). Multilevel choppers for high voltage applications. European Power Electronics and Drives Journal, 2, pp. 45–50.
• Ruderman, A. and Reznikov, B. (2011). Seven-level single-leg flying capacitor converter voltage balancing dynamics analysis. In: Proceedings of 14th European Conference on Power Electronics and Applications, Birmingham (Great Britain), October 2011, pp. 1–10.
• Ruderman, A., Reznikov, B. and Margaliot, M. (2008). Simple analysis of a flying-capacitor converter voltage balance dynamics for DC modulation. In: Proceedings of 13th International Power Electronics and Motion Control Conference, Poznan (Poland), September 2008, pp. 260–267.
• Wilkinson, R. H., Meynard, T. A. and du Toit Mouton, H. (2006). Natural Balance of Multicell Converters: The General Case. IEEE Transactions on Power Electronics, 21(6), pp. 1658–1666.