TR2013-066

Global Optimization of Multi-period Optimal Power Flow

    •  Gopalakrishnan, A., Raghunathan, A.U., Nikovski, D., Biegler, L.T., "Global Optimization of Multi-period Optimal Power Flow", American Control Conference (ACC), June 2013.
      BibTeX TR2013-066 PDF
      • @inproceedings{Gopalakrishnan2013jun,
      • author = {Gopalakrishnan, A. and Raghunathan, A.U. and Nikovski, D. and Biegler, L.T.},
      • title = {Global Optimization of Multi-period Optimal Power Flow},
      • booktitle = {American Control Conference (ACC)},
      • year = 2013,
      • month = jun,
      • url = {https://www.merl.com/publications/TR2013-066}
      • }
  • MERL Contacts:
  • Research Area:

    Optimization

Abstract:

In this work, we extend the algorithm proposed in [1] to solve multi-period optimal power flow (MOPF) problems to global optimality. The multi-period version of the OPF is time coupled due to the integration of storage systems into the network, and ramp constraints on the generators. The global optimization algorithm is based on the spatial branch and bound framework with lower bounds on the optimal objective function value calculated by solving a semidefinite programming (SDP) relaxation of the MOPF. The proposed approach does not assume convexity and is more general than the ones presented previously for the solution of MOPF. We present a case study of the IEEE 57 bus instance with a time varying demand profile. The integration of storage in the network helps to satisfy loads during high demands and the ramp constraints ensure smooth generation profiles. The SDP relaxation does not satisfy the rank condition, and our optimization algorithm is able to guarantee global optimality within reasonable computational time.

 

  • Related News & Events

    •  NEWS    ACC 2013: 7 publications by Yebin Wang, Arvind U. Raghunathan, Scott A. Bortoff, Yiming Zhao, Zafer Sahinoglu and Stefano Di Cairano
      Date: June 17, 2013
      Where: American Control Conference (ACC)
      MERL Contacts: Scott A. Bortoff; Stefano Di Cairano; Yebin Wang; Arvind Raghunathan
      Brief
      • The papers "Sub-optimal Control Design of a Semi-active Vibration Reduction System" by Wang, Y. and Utsunomiya, K., "Adaptive Estimation of State of Charge for Lithium-ion Batteries" by Fang, H., Wang, Y., Sahinoglu, Z., Wanda, T. and Hara, S., "Vehicle Yaw Dynamics Control by Torque-based Assist Systems Enforcing Driver's Steering Feel Constraints" by Zafeiropoulos, S. and Di Cairano, S., "Speed Profile Optimization for Optimal Path Tracking" by Zhao, Y. and Tsiotras, P., "Real-Time Energy-Optimal Trajeactory Generatin for a Servo Motor" by Zhao, Y., Wang, Y., Bortoff, S.A. and Ueda, K., "Global Optimization of Multi-period Optimal Power Flow" by Gopalakrishnan, A., Raghunathan, A.U., Nikovski, D., Biegler, L.T. and "Semismooth Equation Approach to Network Utility Maximization (NUM)" by Bai, L. and Raghunathan, A.U. were presented at the American Control Conference (ACC).
    •