A Sufficient Condition for Power Flow Insolvability With Applications to Voltage Stability Margins

作者：Molzahn Daniel K^*; Lesieutre Bernard C; DeMarco Christopher L

来源：IEEE Transactions on Power Systems, 2013, 28(3): 2592-2601.

DOI：10.1109/TPWRS.2012.2233765

• Maximum loadability
• power flow
• power flow solution existence
• solution space boundary

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.

• 出版日期2013-8