Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 28, Issue 3, Pages 2592-2601Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2012.2233765
Keywords
Maximum loadability; power flow; power flow solution existence; solution space boundary
Categories
Funding
- U.S. Department of Energy [DE-SC0002319]
- National Science Foundation under IUCRC award [0968833]
- National Science Foundation
- Directorate For Engineering
- Div Of Industrial Innovation & Partnersh [0968833] Funding Source: National Science Foundation
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For the nonlinear power flow problem specified with standard PQ, PV, and slack bus equality constraints, we present a sufficient condition under which the specified set of nonlinear algebraic equations has no solution. This sufficient condition is constructed in a framework of an associated feasible, convex optimization problem. The objective employed in this optimization problem yields a measure of distance (in a parameter set) to the power flow solution boundary. In practical terms, this distance is closely related to quantities that previous authors have proposed as voltage stability margins. A typical margin is expressed in terms of the parameters of system loading (injected powers); here we additionally introduce a new margin in terms of the parameters of regulated bus voltages.
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