The Newton–Raphson method was then applied to obtain a unique equation that can be used by engineers to directly compute variables such as air pocket pressure and water column length at the end of the hydraulic event. A case study was analyzed to compare the results of the mathematical model...
This paper describes application of modified Newton-Raphson method combined with analytical equations for determination of equivalent circuit (EC) parameters from the motor performance data. In this procedure, two of the total seven EC parameters are estimated using well-known analytical expressions. Valu...
Derivation The Newton-Raphson method is derived from the Taylor series. 1 The Taylor series equation is taken from Reference 1. Consider a function f(x) which is continuous and single-valued and has all its derivatives on an interval including x = a. The Taylor series is defined as f (x...
In this papre the chaos in the application of Newton Raphson method to solving the nonlinear algebraic equation arising from computational kinematics is studied. With the analysis of iteration function, the mechanism of obtaining all solutions by Newton Raphson method is brought to light. A new met...
badly-initialized power flow cases.The paper also shows that the classical Newton–Raphson’s method and most robust power flow techniques proposed in the literature are particular cases of the proposed formulation.An ex- ample based on a 1254-bus model of the UCTE system is presented and ...
第一个方法: Bisection Method(Bracketing)(二分法)l : lower u:upper 第二个方法: Newton-Raphson Method (Open)不收敛的情况:The tangent lines of x^3 − 2x + 2 at 0 and 1 intersect the x-axis at 1 and 0 respectively, illustrating why Newton's method oscillates between these values for ...
The finite element method is applied to the mixed formulation for the spatial discretization and then a generalized Newmark scheme is used for the time domain discretization. A Newton-Raphson procedure is finally used to solve the nonlinear equations. This paper will focus on the performance of ...
第8章介绍单自由度体系的非线性动力时程分析,对常用的积分方法(中心差分法、Newmark-β法、Wilson-θ法)、非线性迭代方案(Newton-Raphson法、修正的Newton-Raphson法及“极速牛顿法”)及非线性分析涉及的本构状态确定过程进行讲解,并给出了具体的编程代码及软件应用案例。第9章介绍多自由度体系的非线性动力时程分析...
A modified Newton-Raphson method is used to solve the coefficients of a functional expansion of the state variables which minimizes the cost; a simple search is used to find the control at each time point which minimizes the integrand of the cost function. Repeated application of both the ...
These problems are formulated by the use of the finite element method. The Newton-Raphson method is employed to solve the necessary conditions for optimality. A computational algorithm is developed. Some numerical results are shown. 展开 DOI: 10.1016/0045-7949(79)90029-4 被引量: 6 ...