Title :
Singular Perturbation Theory for DC-DC Converters and Application to PFC Converters
Author :
Kimball, Jonathan W. ; Krein, Philip T.
Author_Institution :
Univ. of Illinois at Urbana-Champaign, Urbana
Abstract :
Many control schemes for dc-dc converters begin with the assertion that inductor currents are "fast" states and capacitor voltages are "slow" states. This assertion must be true for power factor correction (PFC) converters to allow independent control of current and voltage. In the present work, singular perturbation theory is applied to boost converters to provide rigorous justification of the time scale separation. Krylov-Bogoliubov-Mitropolsky (KBM) averaging is used to include switching ripple effects. A relationship between inductance, capacitance, load resistance, and loss resistances derives from an analysis of an approximate model. Similar results hold for buck and buck-boost converters. An experimental boost converter and a simulated PFC boost support the derived requirement.
Keywords :
DC-DC power convertors; electric current control; power factor correction; singularly perturbed systems; voltage control; DC-DC converter; Krylov-Bogoliubov-Mitropolsky averaging; PFC converter; buck-boost converter; control scheme; current control; power factor correction; singular perturbation theory; voltage control; Capacitors; Current control; DC-DC power converters; Hydrogen; Inductors; Power factor correction; Pulse width modulation; Switching converters; Virtual colonoscopy; Voltage control; averaging; integral manifold; power factor correction; singular perturbation;
Conference_Titel :
Power Electronics Specialists Conference, 2007. PESC 2007. IEEE
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-4244-0654-8
Electronic_ISBN :
0275-9306
DOI :
10.1109/PESC.2007.4342105
