TY - JOUR
T1 - Transient Stability-Constrained Optimal Power Flow Calculation with Extremely Unstable Conditions Using Energy Sensitivity Method
AU - Xia, Shiwei
AU - Ding, Zhaohao
AU - Shahidehpour, Mohammad
AU - Chan, Ka Wing
AU - Bu, Siqi
AU - Li, Gengyin
N1 - Funding Information:
This work was supported in part by the Smart Grid Joint Foundation Program of National Natural Science Foundation of China and State Grid Corporation of China under Grant U1866204, in part by the Jiangsu Basic Research Project Natural Science Foundation under Grant BK20180284, and in part by the Fundamental Research Funds for the Central Universities under Grant 2019MS007.
Publisher Copyright:
© 1969-2012 IEEE.
PY - 2021/1
Y1 - 2021/1
N2 - In this paper, a transient stability margin is proposed in terms of the kinetic energy of power systems in extremely unstable conditions. A unified energy-based transient stability constraint is formed for both normal and extremely unstable conditions in the proposed transient stability-constrained optimal power flow (TSCOPF) model. A divide-and-conquer approach is presented to solve TSCOPF by decomposing it into optimal power flow and transient stability constraint formation subproblems. The former is solved by an interior point method and the latter is derived by an energy sensitivity technique. Furthermore, an accuracy-based perturbation strategy is proposed to address the system over-stabilization issue, and a parallel calculation technique is implemented to speed up the TSCOPF solution. The effectiveness of the proposed approach is investigated and the results are validated using the New England 10-generator and IEEE 50-generator systems under extremely unstable conditions.
AB - In this paper, a transient stability margin is proposed in terms of the kinetic energy of power systems in extremely unstable conditions. A unified energy-based transient stability constraint is formed for both normal and extremely unstable conditions in the proposed transient stability-constrained optimal power flow (TSCOPF) model. A divide-and-conquer approach is presented to solve TSCOPF by decomposing it into optimal power flow and transient stability constraint formation subproblems. The former is solved by an interior point method and the latter is derived by an energy sensitivity technique. Furthermore, an accuracy-based perturbation strategy is proposed to address the system over-stabilization issue, and a parallel calculation technique is implemented to speed up the TSCOPF solution. The effectiveness of the proposed approach is investigated and the results are validated using the New England 10-generator and IEEE 50-generator systems under extremely unstable conditions.
KW - accuracy-based perturbation strategy
KW - energy sensitivity
KW - extremely unstable condition
KW - Optimal power flow
KW - transient stability
UR - http://www.scopus.com/inward/record.url?scp=85099372572&partnerID=8YFLogxK
U2 - 10.1109/TPWRS.2020.3003522
DO - 10.1109/TPWRS.2020.3003522
M3 - Journal article
AN - SCOPUS:85099372572
SN - 0885-8950
VL - 36
SP - 355
EP - 365
JO - IEEE Transactions on Power Systems
JF - IEEE Transactions on Power Systems
IS - 1
M1 - 9120183
ER -