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Transmission system restoration with co-optimization of repairs,load pickups,and generation dispatch
Affiliation:1. Optimisation Research Group, NICTA Victoria, VIC, Australia;2. College of Engineering and Computer Science, Australia National University, ACT, Australia;3. Computing and Information Systems, University of Melbourne, VIC, Australia;1. Department of Industrial and Systems Engineering, Mississippi State University, Mississippi State, MS, USA;2. School of Industrial and Systems Engineering, University of Oklahoma, Norman, OK, USA;3. Department of Civil and Environmental Engineering, Mississippi State University, Mississippi State, MS, USA;1. Department of Electrical Engineering, University of Isfahan, Isfahan, Iran;2. Department of Industrial Engineering, University of Salerno, Salerno, Italy;1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu Province, China;2. The 52nd Research Institute of China Electronics Technology Group Corporation, Hangzhou 310000, Zhejiang Province, China;3. Tsinghua-Berkeley Shenzhen Institute, Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China;4. NARI Group Corporation/State Grid Electric Power Research Institute, Nanjing, 211000, China
Abstract:This paper studies the restoration of a transmission system after a significant disruption such as a natural disaster. It considers the co-optimization of repairs, load pickups, and generation dispatch to produce a sequencing of the repairs that minimizes the size of the blackout over time. The core of this process is a Restoration Ordering Problem (ROP), a non-convex mixed-integer nonlinear program that is outside the capabilities of existing solver technologies. To address this computational barrier, the paper examines two approximations of the power flow equations: The DC model and the recently proposed LPAC model. Systematic, large-scale testing indicates that the DC model is not sufficiently accurate for solving the ROP. In contrast, the LPAC power flow model, which captures line losses, reactive power, and voltage magnitudes, is sufficiently accurate to obtain restoration plans that can be converted into AC-feasible power flows. An experimental study also suggests that the LPAC model provides a robust and appealing tradeoff between accuracy and computational performance for solving the ROP.
Keywords:Power system restoration  Load pickup  AC power flow  LPAC power flow  Optimization
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