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龙格     
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  runge
     The finite volume approach in space, the three order Runge Kutta method in time and a "law of the wall" for the solid wall condition were used.
     数值离散时 ,将时间与空间分开进行处理 ,空间上的离散采用有限体积法 ,而时间上的离散则用三阶龙格 -库塔法 ,对固壁边界的处理使用了“壁函数”法。
短句来源
     The Runge_Kutta algorithm is realized in C language, and the numeric result of the circuit is obtained.
     用C语言实现龙格库塔算法 ,得出电路的数值解。
短句来源
     This paper has deduced and analyzed a fast and real-time algorithm of the fourth-Order Runge
     本文提出一种用于线性系统仿真的快速实时四阶龙格-库塔法。 这种算法保持了四阶龙格-库塔法精度高的优点.
短句来源
     Through the analysis of the non_linear circuit model,we get the state equations, and the equations are resolved with Runge_Kutta algorithm.
     通过对该非线性电路模型进行分析 ,列出该电路模型的状态方程 ,并用龙格库塔算法对该状态方程求解。
短句来源
     Different from the numerical simulation used by Rai , Takahashi and Dorney , we employed Euler equation and Jameson's four stage Runge Kutta scheme to study the unsteady flow in turbine stage with inlet temperature distortion.
     采用 Jameson的四阶龙格 -库塔法研究了高压涡轮叶栅进口有温度畸变时的涡轮流场。
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  “龙格”译为未确定词的双语例句
     The Finite Volume Multi-Stage Runge-Kutta Methods for Solving Euler/Navier-Stokes Equations
     求解Euler/Navier-Stokes方程的有限体积龙格库塔方法
短句来源
     The characteristics of x2k+1(k=0,1,2,…) oscillators is simulated and visualized using Runge-Kutter method with Matlab,Matlab code and a graphical user interface(GUI) are presented.
     利用Matlab语言和龙格-库塔方法对x2k+1(k=0,1,2,…)型振荡器进行数值模拟并将结果可视化,给出了具体Matlab计算程序和图形用户界面(GUI)。
短句来源
     τ_1-stability of multistep Runge-Kutta methods
     多步龙格-库塔方法的τ_1-稳定性
短句来源
     Our methods of implicit symplectic ,(φ~(-1))-symmetric,algebraically-stable and implicit multi-revolution Runge-Kutta(MRRK)methods of high order are,when N→ ∞, the classic methods of symplectic,symmetric,algebraically-stable and implicit Runge-Kutta methods of high order obtained by Hairer and Wanner(1981),Sun (1993),Chan(1990)and so on.
     当N→∞时,我们获得的高阶隐式辛、(φ~(-1)-对称和代数稳定的多旋转龙格-库塔方法就是Hairer和Wanner(1981)、Sun(1993)、Chan(1990)等人所获得的经典的高阶隐式辛、对称和代数稳定的Runge-Kutta方法。
短句来源
     In this paper. the effects of the concentrations of MgCl2 (1.998, 3.876. 5.735%)solutions and temperature (25. 55℃) on the dissolution-transformation processes ofschoenite in K+, Mg2+/SO_4 ̄2, Cl--H2O quadro-components system have been studie.
     研究了不同浓度MgCl2(1.998、3.867、5.735%)溶液,在不同温度(25、55℃)下,对软钾镁矾在K+,Mg2+/SO_4 ̄2-,Cl-H2O四元体系中溶解转化过程的影响,采用龙格-库塔微分数值法拟合其溶解过程和结晶过程动力学方程。
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  相似匹配句对
     THE GAUSS-TYPE RUNGE-KUTTA NUMERICAL INTEGRATOR
     高斯型龙格库塔积分器
短句来源
     Structure Program Composition Method of Runge-Kutta
     龙格—库塔法结构程序设计方法
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  runge
Its dynamic behaviors are investigated by numerical Runge-Kutta method.
      
Second, The Runge-Kutta arithmetic is used to calculate the dynamical parameters of the micro actuator; the SIMULINK module of MATLAB is used to build the dynamical simulating model and then simulate it.
      
The Runge-Kutta method is used to solve the ordinary differential equations of the model.
      
Some neutral curves for the limiting case of a narrow gap were obtained in [2] by the Runge-Kutta method together with the intersecting line method, and the case of small Reynolds numbers and arbitrary gaps was also considered.
      
The results are obtained by the finite-volume solution of the Euler equations using higher-order TVD Runge-Kutta schemes.
      
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  ronge
Thus for the quantitative analysis, only 44 data points can be used if Ronge's index is employed, and only 38 in the case of Eube's index.
      


Three calculation methods are employed for a non-ideal multicomponent distillation co1umn with any number Of feeds and side-cut streams. Attempts have been made to improve practical applications by combining matrix method with relaxation procedure. An improved algorithm is constructed from the tridiagonal matrix with the solution procedure similar to the second-order Runge-Kutta method. Another calculalion method based on matrix method, and corrected to the normalized values by using component meterial...

Three calculation methods are employed for a non-ideal multicomponent distillation co1umn with any number Of feeds and side-cut streams. Attempts have been made to improve practical applications by combining matrix method with relaxation procedure. An improved algorithm is constructed from the tridiagonal matrix with the solution procedure similar to the second-order Runge-Kutta method. Another calculalion method based on matrix method, and corrected to the normalized values by using component meterial balace equations (CMB-matrix) is also discussed. Fourteen examples listed in tabes 1, 2 were considered to test the applicability of the proposed methods. All three methods, especially the latter two, retain the simplicity of the tridiagonal matrix method and are quite flexible and stable for strongly non-ideal systems with hard operational conditions.

本文运用松弛法和三对角线矩阵法相结合的计算方法、二阶龙格-库塔法和CMB-矩阵法对具有多进料和多侧线的非理想系统精馏塔进行了计算。 就14组计算实例表明,本文介绍的方法(尤其后两种方法),不但保持了矩阵法的简捷性,而且对非理想性很强的物系,即使在极其苛刻的条件下,也能稳定收敛。

This paper deals with the research of dynamic characterises and optimal control of VR step motor with the state variable method in modern control theory. Based on experimental determination and analysis of main parameters of step motor,current or flux linkage can be selected respectively as state variables in voltage equation,and the mathematical model of the state space can be set up in consideration of main nonlinear factors. The nonlinear state equation is solved with 4th-order Rubge-Kutta method,then dynamic...

This paper deals with the research of dynamic characterises and optimal control of VR step motor with the state variable method in modern control theory. Based on experimental determination and analysis of main parameters of step motor,current or flux linkage can be selected respectively as state variables in voltage equation,and the mathematical model of the state space can be set up in consideration of main nonlinear factors. The nonlinear state equation is solved with 4th-order Rubge-Kutta method,then dynamic response performance of single-step driving,start and acceleration are calculated for 52BF 3-Phase VR step motor. Further,the optimal control of step motor is studied using the method of dynamic programming. The pulse sequence of the optimal acceleration with the shortest time control is calculated for 52BF step motor. Finally,the optimal open-loop control of step motor is realized by a micro-processor. It is considered that the theoretical evaluation is in accord with the experimental results.This study is helpful in raising the fast-response of step motor.

本文采用了近代控制理论常用的状态变量法研究了反应式步进电动机动特性及其最佳控制。在对步进电动机主要参数,进行了实验测定和分析基础上,考虑了各主要非线性因素,在电压方程中分别选取电流和磁链作状态变量,建立起状态空间数学模型。运用电子计算机,用四阶龙格——库塔法解非线性状态方程,计算了52BF三相反应式步进电动机单步、启动及加速等动态响应特性。进一步应用动态规划研究步进电动机最佳控制,以最短时问控制计算了52BF步进电动机最佳加速脉冲规律。最后,应用微处理机实现步进电动机最佳开环控制。 这项研究提高了步进电动机的快速性。

A P-transform matrix is applied to transforming the time-varying dynamic equations of a synchro generator into so-called P Park's equations, in result the state equations of one unit generator system are established. Owing to the nonlinear effect of the voltage regulator and the lagging of the a. c. exciter in an aircraft brushless a. c. generator, the forcing function of the main synchro generator UF( t ) can be reduced to an exponential curve with a lagging tE and an equivalent time constant Tff.On the basis...

A P-transform matrix is applied to transforming the time-varying dynamic equations of a synchro generator into so-called P Park's equations, in result the state equations of one unit generator system are established. Owing to the nonlinear effect of the voltage regulator and the lagging of the a. c. exciter in an aircraft brushless a. c. generator, the forcing function of the main synchro generator UF( t ) can be reduced to an exponential curve with a lagging tE and an equivalent time constant Tff.On the basis of the state equations above mentioned eight dynamic characteristics of the synchro generator are printed out separately on an electronic digital computer by four different methods: analysis; fourth-order Rungo-Ku-tta algorithm; exponential matrix (eAT); and network topology. The computation accuracy and the stability region of these four methods are analyzed and their applicable range is established in conformity with their advantages. Then the following conclusions are drawn:1. The characteristic roots of the coefficient matrix at no-load sudden short circuit are the dynamic parameters of the synchro generator, i.e. Ta, Td", Tg", Td'.2. In symmetrical operation the synchro generator can be simplified as an one -order inertial link.3. The dynamic characteristics of the a. c. exciter (tE, Tff) have rather little effect on the maximum surge current of the synchro generator at sudden short circuit.4. In consideration of the non-linearity of the magnetic circuit in the synchro generator, it is verified that the inductor flux ψL and the capacitor charges qc are more suitable than iL and Uc to be taken as the state variables.

本文采用P变换阵将同步发电机的时变动态方程,转换成所谓尸派克方程。由此建立了单台发电机的状态方程。在航空无刷交流发电机中,由于调压器的非线性作用及交流励磁机的延滞,使主同步发电机的激励函数U_F(t)可归纳为带滞后(t_E)的指数曲线(等效时间常数T_(ff))。 用数字机对上述状态方程按解析法、四阶龙格库塔法、指数矩阵(e~(AT))法、网络拓扑法等四种方法,分别打印出八种同步发电机动态曲线。分析了四种算法的计算精度及稳定区域,确定其应用范围,并得出一定的结论。

 
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