Steady-state analysis of PWM DC/DC switching regulators usingiterative cycle time-domain simulation
Wong, B.K.H.; Henry Shu-Hung Chung
Industrial Electronics, IEEE Transactions on
Volume 45, Issue 3, Jun 1998 Page(s):421 - 432
Digital Object Identifier 10.1109/41.679000
Summary:A new iterative technique for the steady-state analysis of
pulsewidth modulated (PWM) DC/DC switching regulators is presented. The
methodology is based on transforming the closed-loop regulator into an
open-loop configuration. The steady-state solution is solved by two
iteration loops. The first loop is to find the steady-state state
variables when the power converter is at a fixed duty cycle. The circuit
waveforms are obtained by a stepwise time-domain simulation method,
which is based on using stepwise quadratic formulation of the circuit
state variables with progressive analysis of the switches' states. The
second iteration loop is to determine the steady-state duty cycle of the
PWM modulator output, using an explicit “fictitious” ramp
offset value as the error index. This two-loop iteration approach
lessens the occurrence of the nonconvergence problem that is sometimes
found in the single-loop iteration method. Furthermore, the advantages
of this method include the following: (1) substantial improvement in
speeding up the convergence to steady-state solution; (2) simplicity in
requiring simple algebraic manipulations; (3) generality in determining
valid topology without prior knowledge of the regulator operation; and
(4) directness in determining the switching instants. Several examples
illustrating the computational efficiency and the accuracy are presented
and are verified with the available literature
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