Multi‐stage stochastic wind‐thermal generation expansion planning with probabilistic reliability criteria

Abstract

Due to the growing proportion of uncertain and fluctuating renewable energy sources in the power system, reasonable generation expansion considering the uncertainties is desperately needed. This paper proposes a novel three‐stage wind‐thermal generation expansion planning model based on representative day unit commitment that incorporates the uncertainty of wind power and load and the probabilistic reliability criteria. The probabilistic reliability criteria are considered by simulating random outage events of thermal units using a robust approach. The consequent robust reliability model is reformulated as mixed‐integer linear programming models and integrated into the multi‐stage generation expansion planning model. A decomposed strategy based on the Benders decomposition is adopted to tackle with the large‐scale original model. Case studies are performed on both the revised IEEE 14‐bus and IEEE 118‐bus test systems to validate the effectiveness of proposed model and method. Numerical results show that the proposed generation planning method balances the economy and reliability of the system.

Congestion Identification and Expansion Planning Methods of Transmission System Considering Wind Power and TCSC

“…where, It is worth pointing out that the load curtailment model for power systems without TCSC can be represented by Eq. ( 7)- (12). That is to say, the constraint of Eq.…”

“…In [7]- [9], TCSC and other devices were installed to enhance the transmission capacity. In [10]- [12], probabilistic characteristics of modern power systems such as the uncertainty of wind power generation have been considered in the expansion planning process. In [10], the uncertainty of wind power was considered when the planning scheme is formed, which makes the system analysis process more complex and the solution of transmission system planning model more difficult.…”

“…In [10], the uncertainty of wind power was considered when the planning scheme is formed, which makes the system analysis process more complex and the solution of transmission system planning model more difficult. In order to address the difficulty of solving optimal model of transmission system planning caused by introducing probability factors, the multi-stage planning model was proposed in [11], [12]. However, the process of introducing probability factors into system planning scheme is still complicated.…”

“…Step 9: Reschedule generating units based on optimal load curtailment model representing by Eq. ( 7)- (12). It is pointed out that Eq.…”

A Game Theory Approach Using the TLBO Algorithm for Generation Expansion Planning by Applying Carbon Curtailment Policy

“…Ref. [25] plans generation expansion for stochastic windthermal power plant of which the probabilistic characteristics are considered. In this study, a MILP also is introduced which is solved with the branch-and-cut algorithm.…”