Integration of wind units into power system introduce various sources of technical and economical challenges to operation of power system due to its inherent uncertainty and variability. In operation of power system, stochastic wind generation can affect on the system security. In this paper, optimal security-constrained unit commitment (SCUC) in presence of demand response program (DR) based o...

The scenario approach is a general data-driven algorithm to chance-constrained optimization. It seeks the optimal solution that feasible carefully chosen number of scenarios. A crucial step in compute cardinality essential sets, which smallest subset scenarios determine solution. This article addresses challenge efficiently identifying sets. For convex problems, we demonstrate sparsest dual pro...

Optimization of the power system plays a major role in power system planning. Unit Commitment and Economic Dispatching are the most important part of every plant-planning project. Unit Commitment is the problem that searches the economical way for power generation, when the power consumption and altered constraints of the power plants are considered. Recently, the attention of the environmental...

This paper presents a transmission-constrained unit commitment method using a Lagrangian relaxation approach. Based on a DC power flow model, the transmission constraints are formulated as linear constraints. The transmission constraints, as well as the demand and spinning reserve constraints, are relaxed by attaching Lagrange multipliers. A three-phase algorithmic scheme is devised including d...

We consider the problem of minimizing costs in the generation unit commitment problem, a cornerstone in electric power system operations, while enforcing an N-k-ε reliability criterion. This reliability criterion is a generalization of the wellknown N-k criterion, and dictates that at least (1−ε j) fraction of the total system demand must be met following the failures of k or fewer system compo...

Power reserves are usually scheduled in day-ahead unit commitment (UC) to minimize operating costs while maintaining system security. In applying basic UC (bUC) after a contingency, the frequency may fall upon activation of load-shedding global control (under-frequency or UFLS) limits. Small isolated microgrids more sensitive this issue due their lack inertia. Including dynamic considerations i...