TY - CHAP A1 - Grote, Wolfgang A1 - Kastsian, Darya A1 - Mönnigmann, Martin T1 - Optimal power system unit commitment with guaranteed local stability T2 - Proceedings of the 2011 American Control Conference N2 - This article deals with the cost optimal commitment of power systems. System stability is often only considered after solving the commitment problem. We show by example that a cost optimization may result in a mode of operation that, while economically optimal, is unstable or has otherwise unacceptable dynamics. As a remedy, we propose to use the so-called normal vector method, which has been developed for the optimization of nonlinear dynamical systems with stability boundaries and uncertain parameters. We apply the method to a small sample power grid, where the optimization goal is to minimize the energy production costs for a given power consumption. KW - Optimization KW - Power system stability KW - Robustness Y1 - 2011 U6 - https://doi.org/10.1109/ACC.2011.5991058 SN - 2378-5861 SP - 4526 EP - 4531 PB - IEEE ER - TY - CHAP A1 - Nielsen, L. A1 - Leithner, R. A1 - Qi, D. A1 - Grote, Wolfgang A1 - Kastsian, Darya A1 - Mönnigmann, Martin T1 - Isobares GuD - Druckluftspeicherkraftwerk mit Wärmespeicher T2 - Energy Storage Conference and Exhibition (IRES 2011), Berlin. 2011 Y1 - 2011 N1 - Veröffentlichung als Poster CY - Berlin ER - TY - JOUR A1 - Grote, Wolfgang A1 - Kastsian, Darya A1 - Mönnigmann, Martin T1 - Guaranteed stability in optimal power generation dispatching under uncertainty JF - IEEE Transactions on Power Systems N2 - Stability and cost optimality of power generation and supply systems must not be considered independently from one another. Simple examples show that optimizing cost without considering stability may result in modes of operation that, while economically optimal, are unstable. We demonstrate that stability, robustness, and optimality can be considered systematically and simultaneously by combining bifurcation theory and nonlinear optimization. Essentially, the proposed method enforces a backoff distance between the optimal point of operation and operational or stability boundaries in the space of the optimization variables, where bifurcation theory is used to describe nonlinear stability boundaries. KW - Normal vector method KW - Power dispatch KW - Robust optimization KW - Stability KW - Unit commitment Y1 - 2013 U6 - https://doi.org/10.1109/TPWRS.2012.2207970 SN - 1558-0679 VL - 28 IS - 2 SP - 1103 EP - 1112 PB - IEEE ER -