Time Domain Analysis of Switching Regulators

Author: Edwards, Dean Barton

Year: 1977

Degree: Dissertation (Ph.D.)

Advisor: Caughey, Thomas Kirk

Committee Member: Unknown, Unknown

Option: Mechanical Engineering

DOI: 10.7907/GRRM-FG16

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document.

The exact expressions for the local stability of a buck regulator are found, and these expressions are simplified when the ratio of the natural frequency to the switching frequency is small. Simplified expressions are also found for the local stability of the boost and buck-boost regulators when the frequency ratio is small and the damping factor is less than the nondimensional switching period, [...]. The feedback constants of the linear control law determine both the local stability and regulation of the linear discrete regulator.

Liapunov's direct stability method as applied to discrete systems and the method of paired systems due to Kalman are used to obtain sufficient conditions for global stability. The paired system technique is also used to analyze the switching regulators for their global convergence properties.

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