基于BP神经网络和激光诱导击穿光谱的燃煤热值快速测量方法研究

作为煤质评价的重要指标之一,热值的快速、准确测量对电厂燃煤锅炉的优化燃烧和经济运行至关重要。采用激光诱导击穿光谱(LIBS)技术结合BP神经网络定量分析模型和聚类分析,以35个煤粉样品作为研究对象进行热值的定量分析。基体效应对LIBS光谱数据的显著影响,针对基于某类煤粉样品所建立的定标曲线不能直接用于不同煤种的定量分析,采用K-means聚类方法根据热值、灰分、挥发分把样品分为三类对训练集和预测集样品进行优化选择。通过谱线强度和热值变量相关性分析,同时考虑特征谱线的物理意义,最终提取12条元素谱线的峰值强度作为输入参数,建立BP神经网络模型对燃煤热值进行预测。定标结果表明,建立的神经网络模型具有良好的定量分析能力,定标曲线拟合度R2为0.996,热值预测值的相对误差低于3.42%,多次重复测量的相对标准偏差在4.23%以内。对聚类分析中3类样品具有不同的预测能力,采用峰值强度作为输入参数时,能够在一定程度上减弱试验参数波动和基体效应造成的影响。定量分析结果的重复性和准确性可以通过对不同类别的煤种分别建立BP神经网络模型来进一步改善。LIBS技术结合BP神经网络可以对煤粉热值进行定量分析,在现场在线/快速检测领域具有很好的应用价值和潜力。     

Mean value formulas for classical solutions to uniformly parabolic equations in the divergence form with non-smooth coefficients

We prove surface and volume mean value formulas for classical solutions to uniformly parabolic equations in the divergence form with low regularity of the coefficients. We then use them to prove the parabolic strong maximum principle and the parabolic Harnack inequality. We emphasize that our results only rely on the classical theory, and our arguments follow the lines used in the original theory of harmonic functions. We provide two proofs relying on two different formulations of the divergence theorem, one stated for sets with almost C¹-boundary, the other stated for sets with finite perimeter.     

Jacobi矩阵特征值反问题

研究如下一类Jacobi矩阵特征值反问题:问题IEP:给定两个互异实数λ,μ(λ<μ)和两个n维非零实向量x,y,求n阶Jacobi矩阵J,使得(λ,x),(μ,y)分别恰是J的第i,j(i≠j)个特征对。还分析了Jacobi矩阵的特征性质,给出了一个特征对恰是Jacobi矩阵J的第i个特征对的充分必要条件,由此导出了问题IEP有解的充分必要条件。     

On diffuse reflection at the boundary for the Boltzmann equation and related equations

The paper considers diffuse reflection at the boundary with nonconstant boundary temperature and unbounded velocities. The solutions obtained are proved to conserve mass at the boundary. After a preliminary study of the collisionless case, the main results obtained are existence for the Boltzmann equation in a DiPerna-Lions framework with the above boundary conditions in a bounded measure sense, and existence together with uniqueness for the BGK equation with Maxwellian diffusion on the boundary in anL framework.Deceased.     

长周期光纤光栅:原理、制备与应用

较全面介绍了长周期光纤光栅。对比Bragg光纤光栅说明了长周期光纤光栅的特点。对其耦合机理进行了分析 ,阐明了波长选择损耗特性。介绍了长周期光纤光栅的制备方法 ,大致分之为基于非形变的制备方法和基于形变的制备方法。详细阐述其在通信、传感领域的应用 ,尤其是新型应用 :带通滤波、光上下路复用、光纤光源、偏振器件、新型传感等。并针对长周期光纤光栅对温度、应力、外部折射率敏感的特性 ,探讨了调谐性以及温度稳定性的方案     

位标器动平衡测试系统中的相位测量方法研究

提出了一种相位测量方法,该方法可以准确检测从位标器陀螺仪输出的钟形光电脉冲信号峰值点的位置并以其为时间基准点进行相位测量,并可判断被测两信号之间的时间间隔以及超前滞后关系.针对在现场中的干扰因素,提出了相应的解决措施.该方法电路简单;测量速度快;精度高;可靠性好.     

Tomographic analysis of the central magnetohydrodynamic oscillations on the HT-7 tokamak

Multi-channel soft x-ray (SX) detectors are applied to generate images of magnetohydrodynamic (MHD) oscillation on the HT-7 tokamak, and the data from SX cameras are analysed by using the Fourier--Bessel harmonic reconstruction method and the singular value decomposition. The image reconstruction of SX emissivity is obtained on the assumption of plasma rigid rotation. One of the important phenomena in the HT-7 discharge is the transition from the sawtooth oscillations to the MHD oscillations when the plasma density grows higher. The MHD structure observed in the SX tomography is featured as follows: the magnetic surface of MHD structure is made up of the crescent-shaped ``hot core' and the circular ``cold bubble'. The structure of the magnetic surface is relatively stable. It rotates in the direction of the electron diamagnetic drift at a frequency being the oscillation frequency of the MHD oscillations.     

40,48Ca+90,96Zr融合反应的动力学模型研究

应用改进的量子分子动力学模型,在严格挑选初始核考虑弹靶结构效应的基础上,研究了近垒和垒上融合反应^40,48Ca+^90,96Zr. 研究表明: 4个反应的理论计算截面与实验值很好符合; 丰中子反应⁴⁰Ca+⁹⁶Zr的垒下融合截面比其他3个反应有明显增强的现象.为了理解丰中子反应⁴⁰Ca+⁹⁶Zr与⁴⁰Ca+⁹⁰Zr相比垒下融合截面增强,而Ca+⁹⁶Zr垒下融合截面没有明显增强的原因, 进一步分析了484个反应的融合位垒,中子转移与融合位垒的关系、中子转移与Q值的关系,结果表明: 正反应Q值会引起核子(特别是中子)转移的增强,从而导致动力学融合位垒的下降和垒下融合截面增强.     

Q value related mass determinations using a Penning trap

We report here about measurements of reaction and decay Q values by precise determination of pairs of atomic masses. These were performed with the Penning trap mass spectrometer SMILETRAP. Measurements with Penning traps give reliable and accurate masses, in particular Q values, due to the fact that certain systematic errors to a great deal cancel in the mass difference between the two atoms defining the Q value. Some Q values that are of fundamental interest will be discussed here, for example, a new Q value for the ⁶Li (n,γ) ⁷Li reaction, for the β-decay of tritium, related to properties of the electron neutrino mass, and for the neutrino-less double β-decay of ⁷⁶Ge, related to the question of whether the neutrino is a Majorana particle or not. In case of the latter two we report the most accurate Q values, namely 18,589.8(12) eV for the tritium decay and 2,038.997(46) keV for the neutrino-less double β-decay of ⁷⁶Ge.     

基于奇异值分解的数字波前拟合算法

提出了基于奇异值分解、采用泽尼克多项式拟合干涉波前的算法,该算法直接从线性方程组入手,对矩阵进行奇异值分解分解,在求解逆矩阵的过程中,采用阈值法对奇异值的倒数进行非常规的置换(∞→0),可直接得到系数向量。理论分析和实验证明,相对于传统的格拉姆施密特正交法,该算法可首先通过求解条件数判断线性方程矩阵是否奇异,对于解决病态方程组或奇异矩阵的最小二乘问题,有很好的稳定性,避免了由最小二乘构造的法方程组出现病态而引入的计算误差,且易于编程。