用于换料方案快速评价的低阶谐波结合线性扰动展开法——理论模型  

Hybrid Low-Order Harmonics and Linear Perturbation Expansion Method for Fast Loading Pattern Evaluation—Theory

作　　者：张少泓[1] 王涛[1] 吕栋[1] 付学峰[1] 赵荣安[1,2] 

机构地区：[1]上海交通大学核科学与工程学院,上海200240 [2]西屋电气工程公司,匹兹堡美国152300355

出　　处：《核动力工程》2009年第4期24-27,36,共5页Nuclear Power Engineering

基　　金：国家自然科学基金资助项目(10505015)

摘　　要：为解决核电厂装料方案优化搜索过程计算量大和耗时的难题,提出了用于装料方案快速评价的谐波结合线性扰动法。在该方法中,由核燃料倒换所引起的堆芯中子注量率空间分布变化,被区分为局部扰动和全局宏观倾斜两种效应,并分别采用扰动基函数和参考堆芯装载方案的低阶谐波基函数来近似表达。再通过剩余权重方法,将原本大规模矩阵特征值问题的求解转换成有关展开系数的小规模矩阵特征值问题求解,从而实现对堆芯装载方案的快速评价。In order to address the issue of large computational workload in the process of optimum loading pattern search for commercial PWR NPP, a new method--Hybrid Harmonics and Linear Perturbation （ HHLP ） is proposed to perform the fast loading pattern evaluation. The method is characterized by separating the local perturbation effect of neutron flux distribution induced by fuel shuffling from the global flux tilting effect, and using low order harmonics and linear perturbation base function expansion to represent these two effects respectively. Since by adoption of the weighted-residual method, the solution of the original large-scale eigenvalue problem can be replaced by the solution of a small-scale eigenvalue problem on expansion coefficients, the proposed method can significantly reduce the computational time for a loading pattern evaluation. This paper gives an introduction of the theory of HHLP and another accompanying paper will provide examples for various kinds of numerical verification of using HHLP.

关 键 词：谐波 线性扰动 展开法 装料方案 

分 类 号：TL329.2[核科学技术—核技术及应用]