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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.
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