We present recent developments in two-stage mixed-integer stochastic programming with regard to application in power production planning. In particular, we review structural properties, stability issues, scenario reduction and decomposition algorithms for two-stage models. Furthermore, we describe an application to stochastic thermal unit commitment.

As renewable energy increasingly penetrates into power grid systems, new challenges arise for system operators to keep the systems reliable under uncertain circumstances, while ensuring high utilization of renewable energy. This paper presents unit commitment (UC) which takes into account the volatility of wind power generation. The UC problem is solved with the forecasted intermittent wind pow...

A two-stage stochastic program is formulated for day-ahead commitment of thermal generating units to minimize total expected cost considering uncertainties in the day-ahead load and the availability of variable generation resources. Commitments of thermal units in the stochastic reliability unit commitment (SRUC) are viewed as first-stage decisions, and dispatch is relegated to the second stage...

This paper discusses using real options to value power plants with unit commitment constraints over a short-term period. We formulate the problem as a multistage stochastic problem and propose a solution procedure that integrates forward-moving Monte Carlo simulation with backward-moving dynamic programming. We assume that the power plant operator maximizes expected profit by deciding in each h...

The short-term unit commitment and reserve scheduling decisions are made in the face of increasing supply-side uncertainty in power systems. This has mainly been caused by a higher penetration of renewable energy generation that is encouraged and enforced by the market and policy makers. In this paper, we propose a two-stage stochastic and distributionally robust modeling framework for the unit...

The high penetration of uncertain resources challenges the security power system operation. By taking impact rescheduling under contingencies into consideration, reliability-constrained unit commitment (RCUC) is developed to address this challenge. Although several efforts have been made in modelling reliability constraints, existing methods can only manage oversimplified low-order temporal-ind...

The increasing penetration of distributed energy resources (DERs) will decrease the rotational inertia power system and further degrade frequency stability. To address above issues, this paper leverages advanced neural network (NN) to learn dynamics incorporates NN facilitate reliable operation. This proposes conservative sparse (CSNN) embedded frequency-constrained unit commitment (FCUC) with ...

We describe a multi-faceted effort to demonstrate the practical implementation of stochastic unit commitment at RTO scale. The inputs for the scheduling engine consist of multiple hourly trajectories of load and variable generation availability together with probabilities that accurately describe their likelihood of occurrence given information available on the day ahead. Preliminary computatio...