Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 32, Issue 3, Pages 2372-2381Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2016.2598266
Keywords
AC optimal power flow (ACOPF); gradient sampling; nonsmooth optimization; sequential quadratic programming; small-signal stability; spectral abscissa
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Funding
- National Natural Science Foundation of China [51407036, 51367004]
- National Basic Research Program of China (973 Program) [2013CB228205]
- U.S. Department of Energy Office of Electricity Delivery and Energy Reliability
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Small-Signal Stability Constrained Optimal Power Flow (SSSC-OPF) can provide additional stability measures and control strategies to guarantee the system to be small-signal stable. However, due to the nonsmooth property of the spectral abscissa function, existing algorithms solving SSSC-OPF cannot guarantee convergence. To tackle this computational challenge of SSSC-OPF, we propose a Sequential Quadratic Programming (SQP) method combined with gradient sampling for SSSC-OPF. At each iteration of the proposed SQP, the gradient of the spectral abscissa function is randomly sampled at the current iterate and additional nearby points to make the search direction computation effective in nonsmooth regions. The method can guarantee SSSC-OPF is globally and efficiently convergent to stationary pointswith probability one. The effectiveness of the proposed method is tested and validated on WSCC 3-machine 9-bus system, New England 10-machine 39-bus system, and IEEE 54-machine 118-bus system.
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