Conference paper
Convex Relaxations of Security Constrained AC Optimal Power Flow under Uncertainty
System operators have to ensure an N-1 secure operation, while dealing with higher degrees of uncertainty. This paper proposes a semidefinite relaxation of the chance and security constrained optimal power flow (SCOPF). Our main contributions are the introduction of systematic methods to obtain zero relaxation gap, providing a tractable chance constrained SCOPF formulation, and addressing scalability.
We introduce a systematic procedure to obtain zero relaxation gap using a penalty term on power losses. To achieve tractability of the joint chance constraint, a piecewise affine approximation, and a combination of randomized and robust optimization is used. To address scalability, we propose an iterative solution algorithm to identify binding constraints, and we apply a chordal decomposition of the semidefinite constraints.
We demonstrate the performance of our approach on IEEE 24 and IEEE 118 bus system using realistic day-ahead forecast data and obtain tight near-global optimality guarantees.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2018 |
| Pages: | 1-7 |
| Proceedings: | 20th Power Systems Computation Conference |
| ISBN: | 1538615835 , 1910963097 , 1910963100 , 9781538615836 , 9781910963098 and 9781910963104 |
| Types: | Conference paper |
| DOI: | 10.23919/PSCC.2018.8442940 |
| ORCIDs: | Venzke, Andreas and Chatzivasileiadis, Spyros |
Chance constraints Contingency filtering Convex optimization Security constrained optimal power flow
Generators IEEE 118 bus system N-1 secure operation Optimization Reactive power Robustness Security Uncertainty Wind forecasting binding constraints chordal decomposition contingency filtering convex optimization convex programming convex relaxations iterative methods iterative solution algorithm joint chance constraint load flow near-global optimality guarantees penalty term piecewise affine approximation power losses power system security randomized optimization realistic day-ahead forecast data robust optimization security constrained AC optimal power flow security constrained optimal power flow semidefinite constraints semidefinite relaxation system operators systematic methods systematic procedure tractable chance constrained SCOPF formulation zero relaxation gap
