In this paper modified simulated annealing (MSA) and particle swarm optimization (PSO) techniques are proposed to minimize total losses in a network system with flexible AC transmission systems (FACTS) devices. The problem is decomposed in two sub-problems. The first sub-problem is optimal placement of FACTS devices using line loss sensitivity index and the second sub-problem is the load flow with FACTS parameters using modified SA/PSO techniques. The main objective of this paper is to find out the more efficient approach for loss reduction in system network. Simulations are performed on modified IEEE 14-bus system. Results are presented which demonstrate the effectiveness of the proposed techniques.

FACTS technology opens up new opportunity for operation and control of power system. Out of the various FACTS devices (viz-TCSC, TCPST, UPFC etc.), the right choices for the maximization of power flow in power system network demands attention which helps to achieve the active power flow up to their line limits without any constraint violation and with optimal investment on FACTS devices. In this paper, an algorithm has been developed for right choices of various combination of FACTS in the power network to enhance the power transfer capability of existing lines under normal condition very close to their line limits and has been applied for modified IEEE 14-bus system. This helps the optimal investment in FACTS devices and easy control. The proposed method is based on load flow and line flow equation In this paper Newton Raphson and modified simulated annealing technique are proposed

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In this paper, we consider the linearized compressible barotropic Navier‐Stokes system in a bounded interval with a time‐varying delay term acting in the Dirichlet boundary or internal feedback of the hyperbolic component. Assuming some suitable conditions on the time‐dependent delay term and the coefficients of feedback (delayed or not), we study the exponential stability of the concerned hyperbolic‐parabolic system. Due to the presence of the time‐varying delay term, the corresponding spatial operator is also time dependent. Using classical semigroup theory with Kato's variable norm approach, we first show the existence and uniqueness of the Navier‐Stokes system with time delay, acting in the boundary or interior. Next, we prove the two stabilization results by means of interior delay feedback and boundary delay. In both cases, we establish the exponential stability results by introducing some suitable functional energy and using the Lyapunov function approach.