The impact of wind power uncertainty and the correlation between wind farms on the power system is analyzed while maintaining the system's security
stability
and economic efficiency. A chance constrained transient stability constrained optimal power flow (CCTSCOPF) method incorporating grid-connected wind power is proposed. Initially
building upon the analysis of wind power uncertainty and accounting for the correlation among wind farms
a Gaussian mixture model based on the density peak clustering algorithm (DPC-GMM) is employed to model the probabilistic distribution of wind power output. This approach accurately captures the probabilistic characteristics of wind power generation
thus providing a crucial foundation for model development. Subsequently
a CCTSCOPF model is formulated within the framework of chance constraints
and the unscented transform method is applied to address the stochastic variables present in the model. This facilitates the derivation of probabilistic information for the output variables
thereby enabling the deterministic transformation of the uncertainty problem. Next
the zebra optimization algorithm (ZOA) is applied to solve the CCTSCOPF model
enhancing both the search efficiency and the quality of the solutions
effectively tackling the complexities of the optimization problem. Finally
case studies based on the enhanced IEEE 39-bus system are conducted
validating the accuracy and applicability of the proposed methodology.
EBRAHIMI M R, AMJADY N, HATZIARGYRIOU N D.Microgrid operation optimization considering transient stability constraints: a new bidirectional stochastic adaptive robust approach[J]. IEEE systems journal, 2021, 16(4): 5663-5674.
YUAN H L, XU Y.Preventive-corrective coordinated transient stability dispatch of power systems with uncertain wind power[J]. IEEE transactions on power systems, 2020, 35(5): 3616-3626.
XIA S W, DING Z H, SHAHIDEHPOUR M, et al.Transient stability-constrained optimal power flow calculation with extremely unstable conditions using energy sensitivity method[J]. IEEE transactions on power systems, 2021, 36(1): 355-365.
CHEN WIELER P L, KUIAVA R, SANTANA SOUZA W F. Transient stability constrained optimal power flow based on trajectory sensitivity for power dispatch of distributed synchronous generators[J]. IEEE Latin America transactions, 2020, 18(7): 1247-1254.
HOBALLAH A, ERLICH I.PSO-ANN approach for transient stability constrained economic power generation[C]//2009 IEEE Bucharest PowerTech. Bucharest, Romania, 2009: 1-6.
SU T, LIU Y B, ZHAO J B, et al.Deep belief network enabled surrogate modeling for fast preventive control of power system transient stability[J]. IEEE transactions on industrial informatics, 2022, 18(1): 315-326.
GE X L, QIAN J, FU Y, et al.Transient stability evaluation criterion of multi-wind farms integrated power system[J]. IEEE transactions on power systems, 2022, 37(4): 3137-3140.
WANG Z W, SHEN C, LIU F, et al.Chance-constrained economic dispatch with non-Gaussian correlated wind power uncertainty[J]. IEEE transactions on power systems, 2017, 32(6): 4880-4893.
XIE Z Q, JI T Y, LI M S, et al.Quasi-Monte Carlo based probabilistic optimal power flow considering the correlation of wind speeds using copula function[J]. IEEE transactions on power systems, 2017, 33(2): 2239-2247.
JOUAN G, CUZOL A, MONBET V, et al.Gaussian mixture models for clustering and calibration of ensemble weather forecasts[J]. Discrete and continuous dynamical systems series S, 2023, 16(2): 309-328.