Further developments in LP-based optimal power flow

Introduction to Electric Power Systems

“…Several review papers were published [39, 45 -47] . Among the various OPF methods proposed, it has been recognized that the main techniques for solving the OPF problems are the gradient method [40] , linear programming (LP) method [49,50] , successive sparse quadratic programming (QP) method [52] , successive nonsparse QP method [54] , Newton ' s method [55] , and Interior Point Methods [61 -66] . Each method has its own advantages and disadvantages.…”

Stability-constrained optimal power flow

“…The algebraic NP problem (22) contains a very large number of constraints. We offer some observations that could lead to practical solutions.…”

“…1. We developed the model algorithm based on the successive linear programming method [22] with two additions: incorporation of stability constraints and a new constraint relaxation technique (the constraint relaxation technique described in [22] is also implemented in our code).…”

“…Discussions on the possibility of including stability constraints into standard OPF formulations can be found in [19], [21], [22]. It is well-understood that voltage and thermal constraints be modeled via algebraic equations or inequalities [19]- [21].…”

Interior point based optimal voltage stability, oscillatory stability and ATC margin boundary tracing

“…The nonlinear objective function and constraints are linearized to enable an LP solution. The LP method has fast speed and reasonable accuracy, and is thus suitable for large systems [24].…”