The Optimal Power Flow problem (OPF) plays a crucial role in the successful energy management of modern smart grids. The diffusion of renewable energy sources poses new challenges to the power grid in which integrated energy storage combined with green generation solutions can help to address challenges associated with both power supply and demand variability. This work refers to a smart grid c...

This paper presents an enhanced Genetic Algorithm (EGA) based approach to solve the Optimal Power Flow (OPF) with FACTS devices to eliminate line over loads in the system following single line outages. The optimizations are performed on two parameters: the location of the devices, and their values. Two different kinds of FACTS controllers are used for steady state studies: Thyristor Controlled ...

This paper presents a new metaheuristic algorithm called BAT search Algorithm (BAT). The BAT search algorithm is used to solve Optimal Power Flow (OPF) problem with the Thyristor Controlled Series Capacitor (TCSC). The TCSC is used to reduce the transmission line losses and improve the voltage profile of the power system. The effectiveness of the BAT Algorithm has been tested for various bus sy...

Nonlinear AC Optimal Power Flow (OPF) problems are commonly approximated by linearized DC OPF problems to obtain real power solutions for restructured wholesale power markets. We first present a standard DC OPF problem, which has the numerically desirable form of a strictly convex quadratic programming (SCQP) problem when voltage angles are eliminated by substitution. We next augment this stand...

This paper presents a model for a multi-period optimal power flow (MP-OPF) problem which includes offshore wind farm connected to the grid by line-commutated converter high-voltage DC (LCC-HVDC) link. The offshore wind farm is composed of doubly fed induction generators (DFIGs), and the DFIGs capability curve is considered in order to obtain a more realistic dispatch for wind farm. The uncertai...

The AC Optimal Power Flow (OPF) problem is a fundamental problem in power systems engineering which has been known for decades. It is a notoriously hard problem due mainly to two reasons: (1) non-convexity of the power flow constraints and (2) the (possible) existence of discrete power injection constraints. Recently, sufficient conditions were provided for certain convex relaxations of OPF to ...

In this paper, a hybrid evolutionary algorithm (HEA) is proposed to determine the optimal placement of multi-type flexible AC transmission system (FACTS) devices to simultaneously maximize the total transfer capability (TTC) and minimize the system real power loss of power transfers in deregulated power systems. Multi-objective optimal power flow (OPF) with FACTS devices including TTC, power lo...

Alternating current optimal power flow (AC OPF) is one of the most fundamental optimization problems in electrical power systems. It can be formulated as a semidefinite program (SDP) with rank constraints. Solving AC OPF, that is, obtaining near optimal primal solutions as well as high quality dual bounds for this non-convex program, presents a major computational challenge to today’s power ind...

Optimal Power Flow (OPF) is an important operational and planning problem in minimizing the chosen objective functions of the power systems. The recent developments in power electronics have enabled introduction of dc links in the AC power systems with a view of making the operation more flexible, secure and economical. This paper formulates a new OPF to embrace dc link equations and presents a...

This paper proposes a component-based dual decomposition of the nonconvex AC optimal power flow (OPF) problem, where the modified dual function is solved in a distributed fashion. The main contribution of this work is that is demonstrates that a distributed method with carefully tuned parameters can converge to globally optimal solutions despite the inherent nonconvexity of the problem and the ...