This paper presents an Incidence Matrix based DC Optimal Power Flow (IM-DCOPF) approach considers the curtailed load value. Mathematical formulation and optimization problem in both stochastic and deterministic ones also are presented in this paper. A simple mathematical representation of the two-stage stochastic programming is developed. This paper utilizes the Incidence Matrix Approach (IMA) to reformulation the traditional DCOPF. Uncertain parameter which is addressed in this paper is load profile, which is depend on multifarious objects, such as weather, temperature and etc; and short-term load forecasts, also are sensitive to temporal behavior and weather. This paper considers multiple discrete probabilities for these kinds of load demands and corresponding problem representation is addressed. Detailed results from an illustrative example and a large scale case study are presented and discussed. The simulation results show that the presented method is both satisfactory and consistent with expectation for large scale poser system. Finally, some relevant conclusions are drawn.

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