约束紧凑与调节灵活的核电调峰安全出力模型

Safety Output Model with Tight Constraints and Flexible Regulation for Nuclear Power Plant Participating in Peak Load Regulation

核电和间歇性电源比重不断增加,核电面临较大的调峰压力。当前,核电参与调峰的数学模型不够完善,因此提出一种将核电特定安全要求与灵活的调节方式有效统一的核电调峰安全出力模型,通过对约束的紧凑化和调峰深度的连续化,解决了已有模型在普遍适用性、经济性和灵活性方面的不足。引入解耦的升/降功率辅助变量,并充分考虑功率变化之间的耦合特性和互斥关系,核电出力可行域约束得更为紧凑,保证在各种工况下得出准确的核电安全出力。此外,进一步将调峰深度连续化,以期得出最优调峰深度和调节时间,增加核电调峰运行方式的灵活性;再运用数学等效变换技巧,将模型非线性项等效转换为线性模型,易于求解。仿真计算表明,所提模型能准确、灵活、经济地安排核电调峰安全出力,可降低约5%额定功率的调峰深度以及约18%的调峰成本,模型的有效性得以验证。

With the increasing proportion of nuclear power and intermittent power supply,nuclear power plant(NPP)is facing higher peak-shaving pressure.Since the present mathematical models of NPP participating in peak load regulation are imperfect,a peak-shaving safety output model for NPP is proposed,which effectively unifies the specific safety requirements and flexible regulation patterns of NPP.By means of compacting the constraints and making the peak regulating depth continuous,the shortcomings of the existing models in general applicability,economy and flexibility could be solved.To guarantee accurate safety output under various operation conditions,the feasible region of nuclear power output is shrunk by introducing decoupled auxiliary variables of power up/down and fully considering the coupling characteristics and mutex relationship between power changes.In addition,regulating depth is made to be continuous in order to obtain the optimal regulating depth and time,which increases the flexibility of peak regulating operation mode for NPP.The model could be easy to solve because the non-linear term is equivalently transformed into linear by using the math transformation technique.The simulation results,which verify the validity of the model,show that the proposed model can accurately,flexibly and economically arrange the peak-shaving safety output of NPP and reduce about 5% peak regulating depth and 18% peak regulating cost.