Convex Optimization of Power Systems

Optimization is ubiquitous in power system engineering. Drawing on powerful modern tools from convex optimization this rigorous exposition introduces essential techniques for formulating linear second-order cone and semidefinite programming approximations to the canonical optimal power flow problem which lies at the heart of many different power system optimizations. Convex models in each optimization class are then developed in parallel for a variety of practical applications like unit commitment generation and transmission planning and nodal pricing. Presenting classical approximations and modern convex relaxations side-by-side and a selection of problems and worked examples this is an invaluable resource for students and researchers from industry and academia in power systems optimization and control.