access icon free Voltage stability constrained line-wise optimal power flow

© The Institution of Engineering and Technology
Received 05/05/2018, Accepted 02/01/2019, Revised 17/12/2018, Published 15/01/2019

The purpose of optimal power flow (OPF) is to optimise an objective function subject to a set of operating constraints. It remains an active research area because of using the bus-wise power balance equations, which leads to a non-linear solution space, resulting in OPF yielding local optimal solutions, thereby causing significant economic loss. In this study, first, a new line-wise OPF (LWOPF) formulation is proposed. Thereafter, a maximum loadability factor, as a voltage collapse indicator, is derived and combined with LWOPF constraints to form a voltage stability constrained LWOPF (VSCLWOPF) model. As the line-wise power balance equations are based upon the square of voltage magnitudes, it results in significant improvement in the solution space and lower-order terms in all computational steps. The LWOPF and VSCLWOPF formulations, are solved using non-linear optimisation technique, tested on several benchmark and real power systems. Results show that the proposed LWOPF is accurate, provides monotonic convergence, and scales well for large systems. It provides a better solution and is consistently faster, up to twice the speed of MATPOWER, due to reduced computational needs. Results of VSCLWOPF show that, for the same voltage stability level, the solution costs less than that obtained by classical bus-wise OPF.

Inspec keywords: optimisation; load flow; power system dynamic stability; power markets; power system stability

Other keywords: line-wise power balance equations; optimal power flow; bus-wise power balance equations; power system; simple line-wise OPF; nonlinear solution space; operating constraints; voltage stability constrained line-wise; bus voltage magnitudes

Subjects: Optimisation techniques; Power system management, operation and economics; Power system control; Optimisation techniques

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