Experimental Verification of Ellipsoidal Bounding Techniques for Power Electronic Systems Subject to Uncertain Inputs
Jiang, Xichen
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https://hdl.handle.net/2142/46990
Description
Title
Experimental Verification of Ellipsoidal Bounding Techniques for Power Electronic Systems Subject to Uncertain Inputs
Author(s)
Jiang, Xichen
Contributor(s)
Dominguez-Garcia, Alejandro D.
Issue Date
2010-05
Keyword(s)
ohmic contact resistance
joule heating
electrical characterization
ohmic contact design
ohmic contact fabrication
Abstract
This thesis provides the experimental validation of a design verification method for power electronics systems, which are modeled with linear switching state-space representation. Unknown inputs to the system are allowed to vary within a bounded range. For design verification purposes, the region of state-state specified by the performance requirements of the circuit must be contained within the reach set, which is the set that contains all possible system trajectories due to different initial conditions, uncontrolled inputs, and inherent switching that are present in power converters. The method involves capturing all system trajectories that arise from random load switching and checking whether they remain within the reach set bounds. A buck converter is constructed and subjected to random load switching from an electronic load and the state trajectories are captured by the oscilloscope. For the experimental setup, a variable current source from the electronic load is used to simulate the load switching. In order to capture the system trajectories, the electronic load is used as an external trigger to the oscilloscope. The trajectories are then plotted against the computed reach set to verify whether they are within bounds. Time domain simulations are performed using a PLECS circuit simulator running in MATLAB. The ellipsoidal toolbox, a set of standalone MATLAB routines used to perform operations with ellipsoids, is used to compute the ellipsoids bounding the reach set. Using the ellipsoidal toolbox, only one set of matrix differential equations needs to be solved in order to compute the bounding ellipsoid for the reach set.
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