The recent large-scale penetration of renewable energy in power networks has also introduced with it a risk of random variability. This new source of power uncertainty can fluctuate so substantially that the traditional base-point forecast and control scheme may fail to work. To address this challenge, we study the so-called robust AC optimal power flow (AC-OPF) so as to provide robust control solutions that can immunize the power system against the intermittent renewables. In this paper we generalize the continuous-time primal-dual gradient dynamics approach to solve the robust AC-OPF. One advantage of the proposed approach is that it does not require any convexity assumptions for the decision variables during the dynamical evolution. This paper first derives a stability analysis for the primal-dual dynamics associated with a generic robust optimization, and then applies the primal-dual dynamics to the robust AC-OPF problem. Simulation results are also provided to demonstrate the effectiveness of the proposed approach.
|Original language||English (US)|
|Title of host publication||2018 IEEE Conference on Decision and Control, CDC 2018|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||6|
|State||Published - Jul 2 2018|
|Event||57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States|
Duration: Dec 17 2018 → Dec 19 2018
|Name||Proceedings of the IEEE Conference on Decision and Control|
|Conference||57th IEEE Conference on Decision and Control, CDC 2018|
|Period||12/17/18 → 12/19/18|
Bibliographical noteFunding Information:
This research has been supported by the National Science Foundation grants CNS-1329915, ECCS-1150405, NSF CIF-1220643, and AFOSR AF FA-9550-15-1-0119.
This research has been supported by the National Science Foundation grants CNS-1329915, ECCS-1150405, NSF CIF-1220643, and AFOSR AF FA- 9550-15-1-0119.
© 2018 IEEE.