CAJ | 학술논문

高温气冷堆核电站集总参数模型为大规模微分代数混合方程组(DAEs)，该DAEs具有刚性特征，因此模型存在求解上的困难。研究给出了一种能够有效求解高温气冷堆核电站集总参数模型的数值方法。首先分析了核电站模型的特点；针对该特点，可采用基于Radau配置点的有限元正交配置法对模型进行离散，然后调用IPOPT求解器求解离散后的大规模非线性规划问题；最后采用该求解策略对高温气冷堆核电站模型进行仿真验证，仿真结果表明了算法的准确性与高效。
고온기랭퇴핵전참집총삼수모형위대규모미분대수혼합방정조(DAEs)，해DAEs구유강성특정，인차모형존재구해상적곤난。연구급출료일충능구유효구해고온기랭퇴핵전참집총삼수모형적수치방법。수선분석료핵전참모형적특점；침대해특점，가채용기우Radau배치점적유한원정교배치법대모형진행리산，연후조용IPOPT구해기구해리산후적대규모비선성규화문제；최후채용해구해책략대고온기랭퇴핵전참모형진행방진험증，방진결과표명료산법적준학성여고효。
The model of nuclear power plant (NPP) with high-temperature-gas-cooled reactor (HTR) can be described by differential-algebraic-equations (DAEs), However, the model equations are difficult to be solved because of their stiff properties and large scale. Now a numerical simulation method for solving the model equations was presented. Based on analyzing the characteristic of the NPP model, the model can be discretized by using the method of orthogonal collocation on finite elements (OCFE), and then the large scale nonlinear programming problems obtained by the discretization were solved by using IPOPT solver. Finally, using above solving strategy, the simulation of the model of NPP with HTR was verified. The simulation results show that the above calculation methods are accurate and highly efficient.