###### Abstract  
As more clean energy sources contribute to the electrical grid, the stress on generation scheduling for peak-shaving increases. This is a concern in several provinces of China that have many nuclear power plants, such as Guangdong and Fujian. Studies on the unit commitment (UC) problem involving the characteristics of both wind and nuclear generation are urgently needed. This paper first describes a model of nuclear power and wind power for the UC problem, and then establishes an objective function for the total cost of nuclear and thermal power units, including the cost of fuel, start-stop and peak-shaving. The operating constraints of multiple generation unit types, the security constraints of the transmission line, and the influence of non-gauss wind power uncertainty on the spinning reserve capacity of the system are considered. Meanwhile, a model of an energy storage system (ESS) is introduced to smooth the wind power uncertainty. Due to the prediction error of wind power, the spinning reserve capacity of the system will be affected by the uncertainty. Over-provisioning of spinning reserve capacity is avoided by introducing chance constraints. This is followed by the design of a UC model applied to different power sources, such as nuclear power, thermal power, uncertain wind power, and ESS. Finally, the feasibility of the UC model in the scheduling of a multi-type generation unit is verified by the modified IEEE RTS 24-bus system accommodating large scale green generation units. n pacs: 97.10.Kc, 97.10.Jf, 97.  
urgent to study how to schedule a multi-type generation unit that includes nuclear power and wind power for peak system operation. Nuclear power plants are one of the key clean energy sources in China. In particular, the proportion of nuclear power in coastal provinces such as Fujian and Guangdong is still increasing. For safe operation, nuclear generation units usually operate at an invariant power to support the basic load and do not participate in load tracking or peak-shaving. At present, nuclear power plants in the United States, Japan, and France are participating in peak-shaving. In [1], the feasibility and necessity of nuclear power plants participating in peak-shaving of power systems are described, including analysis of the modes and characteristics of peak operation. [PERSON] et al. analyzed the feasibility of controlling the power of a pressurized water reactor nuclear power unit through the control rod in [2]. The core simulation and operating characteristics of AP1000 were studied in [3]. In [4], the ability and characteristics of peak-shaving with various nuclear generation units were analyzed, and existing problems in nuclear power generation and strategies for joint peaking operation of the other power sources were described. In [5], the advantage of nuclear power generation participation in load-following was studied, and it was shown that a nuclear power unit can directly participate in the system's daily load peak-shaving based on the \"12-3-6-3\" mode, as verified by actual data from the grid. In summary, there are few studies on joint optimization scheduling with nuclear power, non-Gaussian wind power generation, and energy storage. In [6], thermal and water joint optimization generation was proposed with the aim of minimizing the total power generation system cost, while also considering the constraints of pollutant emission and implementing suitable safety measures. In [7], the authors considered the peak regulation features of a security operation for nuclear power generation and used an objective function to quantify the total cost of thermal-nuclear-pumped storage; however, the integration of non-gaussian uncertain wind power units was not considered. The use of ESS can mitigate some of the problems associated with the unpredictable nature of wind power generation [8]. ESS can function as a virtual power generation device by implementing peak-shaving and load following by absorbing and discharging energy to meet the demands of the grid.