Modeling the operation of multireservoir systems using decomposition and stochastic dynamic programming

Stochastic dynamic programming models are attractive for multireservoir control problems because they allow non‐linear features to be incorporated and changes in hydrological conditions to be modeled as Markov processes. However, with the exception of the simplest cases, these models are computationally intractable because of the high dimension of the state and action spaces involved. This paper proposes a new method of determining an operating policy for a multireservoir control problem that uses stochastic dynamic programming, but is practical for systems with many reservoirs. Decomposition is first used to reduce the problem to a number of independent subproblems. Each subproblem is formulated as a low‐dimensional stochastic dynamic program and solved to determine the operating policy for one of the reservoirs in the system. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

S-四嗪类高氮含能化合物的合成及性能

以3,6-对(3,5-二甲基吡唑)-S-四嗪(BT)为起始物,研究了S-四嗪类高氮含能化合物3-氨基-6-(3,5-二甲基吡唑)-S-四嗪(ADMPT)、3-肼基-6-(3,5-二甲基吡唑)-S-四嗪(HDMPT)、3,6-二氨基-S-四嗪(DATz)、3,6-二肼基-S-四嗪(DHTz)与3,3’-偶氮-(6-氨基-S-四嗪)(DAAT)的合成,经IR、元素分析、1HNMR、13CNMR等对其结构进行了表征和确认。对DHTz和DAAT的热分解性能进行了研究,由不同升温速率下的DSC实验获得了其热分解动力学参数。结果表明DAAT热稳定性好、能量高,在10℃/min升温速率下,DAAT在280℃开始分解,放热峰值330℃,放热峰的分解焓为1974.33J/g;DHTz在120℃开始分解,放热峰值159℃,放热峰的分解焓为1843.23J/g。同时,采用高温高压爆轰产物状态方程(VLW EOS)对DHTz和DAAT的爆轰性能进行了理论计算。     

Solution algorithms for the parallel replacement problem under economy of scale

We consider the parallel replacement problem in which machine investment costs exhibit economy of scale which is modeled through associating both fixed and variable costs with machine investment costs. Both finite- and infinite-horizon cases are investigated. Under the three assumptions made in the literature on the problem parameters, we show that the finite-horizon problem with time-varying parameters is equivalent to a shortest path problem and hence can be solved very efficiently, and give a very simple and fast algorithm for the infinite-horizon problem with time-invariant parameters. For the general finite-horizon problem without any assumption on the problem parameters, we formulate it as a zero-one integer program and propose an algorithm for solving it exactly based on Benders' decomposition. Computational results show that this solution algorithm is efficient, i.e., it is capable of solving large scale problems within a reasonable cpu time, and robust, i.e., the number of iterations needed to solve a problem does not increase quickly with the problem size. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 279–295, 1998     

平台式惯导系统初始对准最佳可观性分析

首先应用线性系统的奇异值分解理论对静基座初始对准的可观性及可观度进行了深入地分析.给出了不同奇异值下系统状态可观性状况的直方图,并且计算出不同状态组合时系统奇异值的大小及对可观性的影响.理论分析表明选取(△)N、(△)E、εE为不可观测时,系统的估计效果最好.其次采用卡尔曼滤波器对可观阵的秩为7的三种状态组合进行最优估计,仿真结果验证这种论断的正确性.最后从误差分析的角度阐述了这种论断的合理性.     

高超声速飞行器常规螺线管磁控热防护系统可行性分析

针对高超声速飞行器鼻锥热防护,构造常规圆柱螺线管磁控热防护系统的物理模型。采用低磁雷诺数磁流体数学模型,对外加磁场作用下的高超声速鼻锥流场进行数值模拟;分析常规螺线管磁控热防护系统的有效磁感应强度范围;给出满足导线电流密度工作极限的螺线管几何参数的要求。研究表明,由于磁控"饱和现象"及导线电流密度的限制,系统可行工作范围为驻点磁感应强度B0∈[0.05 T,0.20 T];B0=0.20 T时,驻点热流密度和总热流分别降低了31.3%和56.6%,热防护效果良好;但磁控系统导线质量仍然较重,应采用可缩短与驻点间距离的异形螺旋管或超导磁铁等替代方法来满足工程防热需求。     

捷联惯导大失准角误差模型在快速传递对准中的应用

针对快速传递对准中主子惯导相对姿态存在大角度的情况,推导了捷联惯导大失准角误差模型.该模型采用欧拉角表示姿态误差,并用欧拉运动方程准确描述其传播规律.鉴于该模型中的姿态观测方程是复杂的非线性函数,采用无需求导的UKF算法,并采用奇异值分解(SVD)解决方差阵的病态问题.仿真结果表明,该算法在小角度误差条件下滤波精度优于线性模型,并且适用于大角度误差条件.     

四元数长方矩阵的同时复对角化

利用四元数矩阵的奇异值分解(SVD),对两个四元数长矩阵给出了其同时复对角化的充要条件,进一步对一个四元数长矩阵集合,针对其同时复对角化问题,给出了一系列充分必要条件.     

Thermal decomposition of ammonium perchlorate catalyzed with CuO nanoparticles

Ammonium perchlorate (APC) is the most common oxidizer in use for solid rocket propulsion systems. However its initial thermal decomposition is an endothermic process that requires 102.5 J·g⁻¹. This manner involves high activation energy and could render high burning rate regime. This study reports on the sustainable fabrication of CuO nanoparticles as a novel catalyzing agent for APC oxidizer. Colloidal CuO nanoparticles with consistent product quality were fabricated by using hydrothermal processing. TEM micrographs demonstrated mono-dispersed particles of 15 nm particle size. XRD diffractogram demonstrated highly crystalline material. The synthesized colloidal CuO particles were effectively coated with APC particles via co-precipitation by using fast-crash solvent–antisolvent technique. The impact of copper oxide particles on APC thermal behavior has been investigated using DSC and TGA techniques. APC demonstrated an initial endothermic decomposition stage at 242 °C with subsequent two exothermic decomposition stages at 297.8 °C and 452.8 °C respectively. At 1 wt%, copper oxide offered decrease in initial endothermic decomposition stage by 30%. The main outcome of this study is that the two main exothermic decomposition peaks were merged into one single peak with an increase in total heat release by 53%. These novel features can inherit copper oxide particles unique catalyzing ability for advanced highly energetic systems.     

一种利用GPS载波相位姿态测量的方法

GPS初始整周模糊度的求解是利用载波相位进行测量时的关键问题.采用了对系数矩阵进行QR分解的方法,用以降低矩阵的维数.模糊度搜索时,针对Z变换可能会引入多余误差,采用了对称三角分解法对协方差矩阵进行去相关处理.实验与仿真结果表明,定位误差在0.5 cm以内,方位角和仰角误差在0.1°以内.