Abstract:A method introducing fictious variables for resolving the linear model of reactive power and voltages control in power systems is presented. The method theoritically guarantees the resolvability and optimizition of linear programming model. This method has been proved successful by IEEE 6 -node test system and the several practical power systems such as 49-node, 155 -node systems.

Abstract:A fast dual algorithm is presented for the piecewise linear programming with successively increasing slopes. The concept of the pointer is used to derive the optimality and the feasibility conditions based on the dual simplex principle, which avoids enlarging the scale of the problem due to introducing piecewise variables so that storage and calculating requirements are reduced. Finally,the example is given to demonstrate the effectiveness of the presented algorithm.

Abstract:Analyses the characteristics of convex network flow programming of the economic power dispatch with security and presents a rapid algorithm. The numerical examples are given to demonstrate the effectiveness of the algorithm.

Abstract:A new model for frequency - domain analysis - the real resistive model which is based on Complex Network Theory is proposed in this paper. The network equations formed with the new model without contain complex numbers because there are only sources and resirtive elements in the model. A CAA algorithm for frequency analysis by using the new model is also given. It is shown that the trouble with the complex operation in the traditional algorithm has been avoided. The algorithm presented in this paper is simple and convenient,hence it is easy to popularize.

Abstract:The problem of the short term economic scheduling for cascaded hydropower stations is discussed with the network programming method. A new network model is built to dispatch the load to each unit when the unit commitment is determined. An algorithm of the minimal cost maximal flow is also discussed using the model and the algorithm to the Longxi River Cascaded Hydropower Stations, the computational result on the microcomputer VAX II shows that the model and the algorithm are correct and applicable.

Abstract:A new trust region algorithm is proposed for solving unconstrained optimization problems. According to the quadratic approximate model of the original optimization problem,the trust region algorithm uses directions,a convex combination of the quasi-newton direction and the steepest descent direction. This algorithm with new strategy is analyzed and the global and local quadratic convergent theorems are proved. At last,the implementation and computational results of the algorithm are demonstrated.

Abstract:This paper presents two trust region algorithms for solving general nonlinear equality constrained optimization problems. The different techniques are used in minimizing a quadrdtic approximate model of the original optimization problems in trust region. By the convergence analysis, the global convergences and local superlinear convergences of the algorithms are obtained. Finally,the implementations of the algorithms are given.

Abstract:The coupled element of finite element and boundary element theory has been used to carry out the reanalysis of structures with geomeotric variation based on the varitional principle. It will not only reduce the amount of analyser' work,save the memory of computer,but also enhance the accuracy of reanalysis. So it will effectively make the reanalysis of large structures easy.

Abstract:The surface quatities of fine iron oxide particles are studied. The pore distribution and surface a area are determined and calculated. The results show that the surface area is 290m/g, 830m/g and the middle-pore(20~50A )is the main part of the fine iron oxide particles prepared by the colloid chemical method.

Abstract:Based on multiprocessor Mpscu, two parallel algorithms are proposed to solve the shortest path problems in N vertex graph within time O(N3/k)with K processors.

Abstract:A mathematcal model of heat transfer between the billet and the roller for the seeondary cooling zone in billet continuous casting is established. By means of the simulated test,a regres sion relation between the heat flow from the billet into the roller and the surface temperature and cast ing speed and spray water density obtained. The calculated theoretical values for change of surface temperature are in agreement with the measured data, these studies may contribut to the quantitative analysis and the calculation of the heat transfer of the secondary cooling zone.

Abstract:The desing principle and the manufacturing method relevant to the high precision many kind of code radial gratings are discussed in this paper. It is helpful to the pratical use for improving the manufacturing precision and surface quality of metrological radial gratings.