A branch and bound methodology for matrix polytope stability problems
arising in power systems
A branch and bound methodology for matrix polytope stability problems
arising in power systems
C. DeMarco, V. Balakrishnan and S. Boyd
Proc. IEEE Conference on Decision and Control,
Honolulu, Hawaii, 6:3022-3027, December 1990
Abstract:
This paper proposes a formulation to provide necessary and sufficient
conditions for robust stability of a family of matrices modeling
linearized power system dynamics. A construction for transforming
variations in operating point into a polytope of matrices for the
linearized system models is derived. Sufficient conditions to
establish robust stability or instability of a polytope are
developed. Finally, an iterative "branch and bound" technique is
described that combines these tests to provide a necessary and
sufficient test for robust stability of the matrix polytope.
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