A load dispatch method using fractional programming and semidefinite programming

This paper describes a load dispatch method which minimizes power cost—[fuel cost]/[electric output]—for a power system with thermal plants and energy storage facilities. The proposed method employs fractional programming to convert a minimization problem with fractional objective function to a series of quadratic minimization problems, and semidefinite programming to solve converted problems. The method provides the optimum time‐dependent power output/input and storage level of energy storage facilities as well as time‐dependent power output of thermal plants. The method has been applied to a power system with five thermal plants, two energy storage facilities of various performances, and five load demands. The optimum load scheme of four time mesh points is obtained for the thermal plants and energy storage facilities. The fractional programming successfully converges the optimal scheme through a few iterations. The semidefinite programming deals with a variable matrix of 164 dimensions, and 185 inequality constraints. © 2001 Scripta Technica, Electr Eng Jpn, 138(2): 49–58, 2002     

TESTS FOR FRACTIONAL INTEGRATION:A MONTE CARLO INVESTIGATION

Abstract. The performance of the Geweke-Porter-Hudak (GPH) test, the modified rescaled range (MRR) test and two Lagrange multiplier (LM) type tests for fractional integration in small samples is examined using Monte Carlo methods. Both the GPH and MRR tests are found to be robust to moderate autoregressive moving-average components, autoregressive conditional heteroskedasticity effects and shifts in the variance. However, these two tests are sensitive to large autoregressive moving-average components and shifts in the mean. It is also found that the LM tests are sensitive to deviations from the null hypothesis. As an illustration, the GPH test is applied to two economic data series.     

Stable local dimensionality reduction approaches

Dimensionality reduction is a big challenge in many areas. A large number of local approaches, stemming from statistics or geometry, have been developed. However, in practice these local approaches are often in lack of robustness, since in contrast to maximum variance unfolding (MVU), which explicitly unfolds the manifold, they merely characterize local geometry structure. Moreover, the eigenproblems that they encounter, are hard to solve. We propose a unified framework that explicitly unfolds the manifold and reformulate local approaches as the semi-definite programs instead of the above-mentioned eigenproblems. Three well-known algorithms, locally linear embedding (LLE), laplacian eigenmaps (LE) and local tangent space alignment (LTSA) are reinterpreted and improved within this framework. Several experiments are presented to demonstrate the potential of our framework and the improvements of these local algorithms.     

一类非光滑非凸分式半无限规划的最优性

在一致Fb-凸函数，一致Fb-伪凸和一致Fb-拟凸等广义凸性函数的基础上，研究了一类分式半无限规划问题，得到了涉及这些广义凸性函数的一类非光滑分式半无限规划的一些最优条件。     

两个分式型不等式的拓广与深化

对两个分式型不等式的参指数α作适当拓广,得到两个一般的分式型不等式,同时对新的分式型不等式的变元ai与bi作巧妙的代换,参指数α与β作适当变形,得到了许多著名的不等式,甚至是其反向不等式,是其加强式,使此类问题系统化、深刻化.     

现代产品设计中的区域文化意象研究

区域文化意象的研究,有助于体现产品区域特色和文化内涵.研究了区域文化意象的消费者认知匹配模型,阐述了区域文化意象的消费者认知匹配模型的3个层次.并以良渚文化意象的酒器设计为例进行验证.     

单一时段和多时段下区域旋转备用的获取

在满足区域购买备用成本最小的目标下,基于"协调运作"的备用交易模式提出了单一时段内获取区域旋转备用容量的两种方法:①报价排队法,按照区域统一边际备用价格结算.②非线性规划法,按照机组实际报价结算,然后扩展至多时段内区域备用获取的计算,通过全局优化得到了优化后的区域备用容量,体现了区域间的备用支持,降低了获取的备用容量,优化了各地的电力资源.仿真算例分别说明了单一时段和多时段下区域备用获取的方法和计算结果.     

常用边缘检测方法分析与比较

论文对几种常用的图像边缘检测算法进行了分析,实际上这几种方法都在我们的生活生产乃至国防中得到了广泛的应用。论文在分析的基础上,进一步进行了比对说明,指出了它们各自的特点。     

区域电网调度系统中维护信息对称性特征识别

为提升对区域电网调度系统维护信息对称性特征的识别效率及准确率,文中首先通过小波变换方法提取区域电网调度系统中维护信息的特征,然后运用模糊C均值算法分析特征数据的分布情况,并以此为基础,获取维护信息对称性故障特征的波形,根据Ucosθ波形特征识别结果,实现对区域电网调度系统中维护信息对称性特征的识别.实验结果表明:在不同...