Price-based optimal control of power flow in electrical energy transmission networks
Conference ContributionJokic, A., Lazar, M. & Bosch, van den, P.P.J. (2007). Price-based optimal control of power flow in electrical energy transmission networks. In A. Bicchi, G. Buttazzo & A. Bemporad (Eds.), Proceedings of the 10th international conference on Hybrid systems: Computation and Control (HSCC 2007) 3-5 April 2007, Pisa, Italy (pp. 315-328). (Lecture Notes in Computer Science, No. 4416). Berlin, Germany: Springer. In Scopus Cited 13 times.
This article presents a novel control scheme for achieving optimal power balancing and congestion control in electrical energy transmission networks via nodal prices. We develop an explicit controller that guarantees economically optimal steady-state operation while respecting all line flow constraints in steady-state. Due to these constraints, the resulting optimal control law has a piecewise affine structure. To optimize the dynamic response of the system and to satisfy line overload constraints during the transient period, the explicit optimal controller is complemented with a hybrid MPC controller. An example illustrates the effectiveness of the proposed hybrid control scheme.