Hijazi, HassanCoffrin, CarletonVan Hentenryck, Pascal2022-12-051867-2949http://hdl.handle.net/1885/281537This paper presents a set of new convex quadratic relaxations for nonlinear and mixed-integer nonlinear programs arising in power systems. The considered models are motivated by hybrid discrete/continuous applications where existing approximations do not provide optimality guarantees. The new relaxations offer computational efficiency along with minimal optimality gaps, providing an interesting alternative to state-of-the-art semidefinite programming relaxations. Three case studies in optimal power flow, optimal transmission switching and capacitor placement demonstrate the benefits of the new relaxations.application/pdfen-AU© Springer-Verlag Berlin Heidelberg and The Mathematical Programming Society 2016Mixed-integer nonlinear programmingGlobal optimizationConvex relaxationOptimal power flowOptimal transmission switchingCapacitor placement201610.1007/s12532-016-0112-z2021-11-28