Third Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: II. Computed Sensitivities

This work presents the results of the exact computation of (180)3 = 5,832,000 third-order mixed sensitivities of the leakage response of a polyethylene-reflected plutonium (PERP) experimental benchmark with respect to the benchmark’s 180 microscopic total cross sections. This computation was made possible by applying the Third-Order Adjoint Sensitivity Analysis Methodology developed by Cacuci. The numerical results obtained in this work revealed that many of the 3rd-order sensitivities are significantly larger than their corresponding 1st- and 2nd-order ones, which is contrary to the widely held belief that higher-order sensitivities are all much smaller and hence less important than the first-order ones, for reactor physics systems. In particular, the largest 3rd-order relative sensitivity is the mixed sensitivity of the PERP leakage response with respect to the lowest energy-group (30) total cross sections of 1H (“isotope 6”) and 239Pu (“isotope 1”). These two isotopes are shown in this work to be the two most important parameters affecting the PERP benchmark’s leakage response. By comparison, the largest 1st-order sensitivity is that of the PERP leakage response with respect to the lowest energy-group total cross section of isotope 1H, having the value , while the largest 2nd-order sensitivity is . The 3rd-order sensitivity analysis presented in this work is the first ever such analysis in the field of reactor physics. The consequences of the results presented in this work on the uncertainty analysis of the PERP benchmark’s leakage response will be presented in a subsequent work.

Third-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Framework

This work extends to third-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a polyethylene-reflected plutonium (acronym: PERP) OECD/NEA reactor physics benchmark. The PERP benchmark comprises 21,976 imprecisely known (uncertain) model parameters. Previous works have used the adjoint sensitivity analysis methodology to compute exactly and efficiently all of the 21,976 first-order and (21,976)2 second-order sensitivities of the PERP benchmark’s leakage response to all of the benchmark’s uncertain parameters, showing that the largest and most consequential 1st- and 2nd-order response sensitivities are with respect to the total microscopic cross sections. These results have motivated extending the previous adjoint-based derivations to third-order, leading to the derivation, in this work, of the exact mathematical expressions of the (180)3 third-order sensitivities of the PERP leakage response with respect to these total microscopic cross sections. The formulas derived in this work are valid not only for the PERP benchmark but can also be used for computing the 3rd-order sensitivities of the leakage response of any nuclear system involving fissionable material and internal or external neutron sources. Subsequent works will use the adjoint-based mathematical expressions obtained in this work to compute exactly and efficiently the numerical values of these (180)3 third-order sensitivities (which turned out to be very large and consequential) and use them for a third-order uncertainty analysis of the PERP benchmark’s leakage response.

基于IHF-PLL^(3)rd的混合式步进电机主动式阻尼控制

混合式步进电机本身阻尼极小,在实际运行过程中经常会发生振荡过大、甚至失步的问题。为提高步进电机的控制品质,提出一种基于三阶锁相环(third-orderphaselocked loop,PLL^(3)rd)-积分谐波滤波器(integral harmonic filter,IHF)的步进电机主动式阻尼控制方法。首先,主动式阻尼控制是利用同步d-q坐标系调节定子电流,其中控制id恒定为额定电流,调节iq生成瞬时转矩以抑制振荡。其次,为实现转速闭环达到增加电机阻尼的目的,提出一种PLL^(3)rd与IHF相结合的转速观测方法。其中,PLL^(3)rd可消除电机加减速过程中的稳态误差,而IHF可以有效滤除电机反电势中的高次谐波分量,该方法解决了传统微步控制中只减小了振荡幅度但是没有改变控制系统阻尼大小的问题。最后,通过实验验证所提方案的有效性。

具有性质RD序群上的Toeplitz代数的光滑子代数

构造了具有性质RD的序群上的Toeplitz代数的光滑子代数,并且证明了这个子代数在Toeplitz代数中是谱不变的.

超大跨度斜拉桥活载几何非线性分析

进入超大跨度范围后,斜拉桥几何非线性问题更加突出。以主跨为1 088m的苏通大桥为研究对象,采用线性理论、线性二阶理论和非线性理论,分析几何非线性对超大跨度斜拉桥活载效应的影响。研究表明,即使对超过1 000m的公路斜拉桥,采用线性二阶理论(即只需考虑斜拉索弹性模量折减和恒载几何刚度矩阵的影响)计算活载效应完全可以满足工程要求。

非高斯信号的非因果非最小相位ARMA模型辨识

提出了一种新的ＡＲＭＡ模型参数辨识方法，该方法以受噪声污染的系统输出信号的三阶矩和双谱作为工具，通过求解一系列线性方程组，分别估计出ＡＲＭＡ模型的ＭＡ部分和ＡＲ部分的参数。其主要特点在于应用了基本域内的所有双谱采样，从而有效的利用了信息量。计算机模拟结果表明，它具有很好的数值特性和较好的参数估计。

高校学报影响因子的灰色关联分析

利用灰色关联分析的基本原理和求解方法 ,讨论了理工、综合类高校学报影响因子与其他指标之间的关系 。

Higher Order Willmore Hypersurfaces in Euclidean Space

Let x ： Mn^n→ R^n＋1 be an n（≥2）-dimensional hypersurface immersed in Euclidean space Rn＋1. Let σi（0≤ i≤ n） be the ith mean curvature and Qn = ∑i=0^n（-1）^i＋1 （n^i）σ1^n-iσi. Recently, the author showed that Wn（x） = ∫M QndM is a conformal invariant under conformal group of R^n＋1 and called it the nth Willmore functional of x. An extremal hypersurface of conformal invariant functional Wn is called an nth order Willmore hypersurface. The purpose of this paper is to construct concrete examples of the 3rd order Willmore hypersurfaces in Ra which have good geometric behaviors. The ordinary differential equation characterizing the revolutionary 3rd Willmore hypersurfaces is established and some interesting explicit examples are found in this paper.

三阶非线性椭圆型复方程的斜微商边值问题

在一定条件下证明了单位圆盘上的三阶非线性椭圆型复方程的斜微商边值问题的可解性,并给出了其积分形式的解.讨论了多连通区域上的三阶非线性椭圆型复方程的斜微商边值问题的可解性.

三阶B树的构造与应用

本文给出两种构造三阶Ｂ树的算法，证明算法的时间复杂性，并给出用三阶Ｂ树实现热力公司的数据管理实例。

快速清除计算机中空文件夹的方法

介绍了几种比较实用的清除计算机中空文件夹的方法。

基于R_d阻尼型LCLLC滤波器的永磁同步发电机绕组谐波抑制

在永磁风力发电系统中,为了减轻机侧变流器产生的脉宽调制(PWM)高频脉冲波对定子绕组的绝缘损害,降低谐波电流造成的发电机损耗,在分析传统PI控制策略的基础上,提出了一种新的策略。将谐振控制器与二自由度(2DOF)PID控制器相结合,设计谐振二自由度PID(R-2DOF PID)控制器,并通过粒子群(PSO)算法优化控制器参数,获得较强的电流跟踪能力、稳定的控制和良好的谐波电流抑制效果。同时,在机侧变流器端设计Rd阻尼型(滤波器电容支路串联电阻)LCLLC滤波器衰减PWM高频脉冲中的高次谐波,与传统PI控制结合Rd阻尼型LCL滤波器的谐波抑制策略相比,提出的控制器不仅能抑制电流谐波,实现电流环的无差拍控制,而且能减小外界扰动带来的影响,增强控制器的动态稳定性。使用MATLAB/Simulink对永磁同步发电机进行仿真试验,仿真结果表明,LCLLC滤波器对于滤除PWM高频脉冲的谐波成分效果较好,R-2DOF PID控制器可对周期信号进行无误差跟踪,达到抑制谐波的目的。

接收机三阶截点原理分析及测试方法探讨

介绍接收机存在的两种互调失真及其测试方法,针对最新数字超短波接收机的技术特点,提出一种实用的三阶截点测试方法,并分析该方法的测试原理。

Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Expressions and CPU-Time Comparisons for Computing 1^st-, 2^nd- and 3^rd-Order Sensitivities

This work extends to fourth-order previously published work on developing the adjoint sensitivity and uncertainty analysis of the numerical model of a polyethylene-reflected plutonium (acronym: PERP) OECD/NEA reactor physics benchmark. The PERP benchmark comprises 7477 imprecisely known (uncertain) model parameters which have nonzero values. These parameters are as follows: 180 microscopic total cross sections;7101 microscopic scattering sections;60 microscopic fission cross sections;60 parameters that characterize the average number of neutrons per fission;60 parameters that characterize the fission spectrum;10 parameters that characterize the fission source;and 6 parameters that characterize the isotope number densities. Previous works have used the adjoint sensitivity analysis methodology to compute exactly and efficiently all of the 7477 first-order and 27,956,503 second-order sensitivities of the PERP benchmark’s leakage response to all of the benchmark’s uncertain parameters. These works showed that largest response sensitivities involve the total microscopic cross sections, which motivated the recent computation of all of the (180)3 third-order sensitivities of the PERP leakage response with respect to these total microscopic cross sections. It turned out that some of these 3rd-order cross sections were far larger than the corresponding 2nd-order ones, thereby having the largest impact on the uncertainties induced in the PERP benchmark’s response. This finding has motivated the development of the original 4th-order formulas presented in this work, which are valid not only for the PERP benchmark but can also be used for computing the 4th-order sensitivities of response of any nuclear system involving fissionable material and internal or external neutron sources. Subsequent works will use the adjoint-based mathematical expressions obtained in this work to compute exactly and efficiently the numerical values of the largest fourth-order sensitivities of the PERP benchmark’s response to the total microscopic cross section and use them for a pioneering fourth-order uncertainty analysis of the PERP benchmark’s response.

直流线路故障定位对过压抑制影响的机理分析

极间短路是直流微电网线路的常见故障。为抑制短路切断时的过电压,RD泄放支路并联法被广泛采纳,而LC故障定位电路正在被应用,对泄放支路的过压抑制功能产生明显影响。建立了RD泄放支路、LC定位支路和故障线路组成的并联系统的三阶线路模型,采用求解三阶线路模型的特征根的方法,明确了LC定位支路对RD泄放支路过压抑制的影响机理,解耦了参数变化对过压衰减的影响。在仿真中对该线路模型的效果进行了验证。

RF knock-out extraction in HITFiL

A compact facility for cancer therapy has been designed and is presently under construction. A slow beam extraction system using the RF-Knock Out method and 3rd-order resonance is adopted in the synchrotron of this facility. Eight sextupoles are used, four of them are for correcting the chromaticity and the rest for driving the 3rd-order resonance. In order to save the aperture of vacuum chamber, a 3-magnet bump is adopted during the extraction process. The extraction phase space map and the last 3 turns’ particle trajectory before extraction are given. The matching betatron functions with HEBT （high energy beam transport） are also presented.

用两单参数李群求3阶自治系统的首次积分

在较一般的条件下,对3阶自治系统给出利用系统所接受的两个单参数李群的生成元计算首次积分的方法．

三次多项式温度分布液相模型在液滴蒸发中的应用

三次多项式温度分布模型反映了液滴内部基于希尔球涡的实际流动,可以较为准确地预测单个液滴蒸发。鉴于三次多项式温度分布模型在预测单个液滴蒸发的准确高效性,本文以n-Decane油滴蒸发为例,采用三次多项式模型研究了通过改变初温和初始气流速度来改变初始雷诺数对液滴蒸发的影响,结果表明通过改变气流速度来改变雷诺数的情况,不同雷诺数下液滴蒸发率与内部温度分布存在较大差异;以n-Decane,n-Heptane和n-Dodecane三种不同黏度的油滴蒸发为例,对比了液滴黏度对蒸发的影响,发现不同黏度液滴的蒸发率与内部温度分布差异较大,黏度越小,蒸发率越快;在液滴蒸发的初始阶段,内部温度梯度较大。

用两个单参数Lie群求三阶自治系统的积分因子

给出并证明了利用三阶自治系统接受的两个单参数Lie群的生成元求系统积分因子的方法.