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 -