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...

This paper proposes a stochastic hydro unit commitment (SHUC) model for price-taker hydropower producer in liberalized market. The objective is to maximize the total revenue of producer, including immediate revenue, future (i.e., opportunity cost), and startup shutdown cost. market price uncertainty taken into account through scenario tree. solution challenging task due its non-convex high-dime...

We propose a power-based unit commitment formulation with capacity and intra-hour ramp reserves for dealing wind power variability uncertainty. Although the has an hourly resolution, requirements capture excursions time duration below one hour, thus allows to consider intra-hourly This increases security of compared using more efficient scheduling units high rates. test different durations rese...

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...