NK constrained composite generation and transmission expansion planning with interval load

S Hong, H Cheng, P Zeng - IEEE Access, 2017 - ieeexplore.ieee.org
S Hong, H Cheng, P Zeng
IEEE Access, 2017ieeexplore.ieee.org
The uncertainties of the predicted load demand and NK contingencies are very significant
aspects to composite generation and transmission expansion planning (CGTEP). In this
paper, multi-contingency constrained CGTEP with load uncertainty was analyzed from
stringent mathematical view and formulated as a tri-level optimization model. To effectively
solve the tri-level optimization, the entire problem is formulated as two problems using
Benders' decomposition: master problem with expansion planning and the sub-problem with …
The uncertainties of the predicted load demand and N-K contingencies are very significant aspects to composite generation and transmission expansion planning (CGTEP). In this paper, multi-contingency constrained CGTEP with load uncertainty was analyzed from stringent mathematical view and formulated as a tri-level optimization model. To effectively solve the tri-level optimization, the entire problem is formulated as two problems using Benders' decomposition: master problem with expansion planning and the sub-problem with the worst case load shedding. The sub-problem is a bi-level optimization problem which can be solved mathematically using strong duality theory and linearization method. CGTEP with the tri-level optimization can endure the disturbances of interval load and N-K contingencies. A benchmark test system is simulated to validate the effectiveness of the proposed approach. Furthermore, for Bender's decomposition with many sub-problems of worst load shedding, the numerically comparable results of a special case demonstrate that all sub-problems of composite contingencies must be validated at each iteration even if certain contingency meets the standard of load shedding at the previous iteration.
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