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By use of continuation power flow method based on unified iteration, the step length around the critical point is reduced, so that whole PV curve and accurate critical point can be obtained.

该算法采用基于统一迭代法的连续潮流法,在临界点附近采取缩小步长的策略,可以精确求出整个PV曲线并得到精确临界点

By the analysis of dive and horizontal plane nonlinear model, the catastrophe model on de dive plane is deduced, and catastrophe stability is analysized. In the horizontal plane, simplified equation is gained by center manifold theory, then draws the conclusion that the stability of limit circle arises from critical point is relate to small difference of move point and critical point.

通过对潜艇垂直面和水平面非线性运动模型进行分析,导出垂直面运动的突变控制模型,并进行了突变稳定性分析;在水平面运动的非线性分析中,通过中心流形定理简化方程,得出临界点处极限环的稳定性与微差占的符号有关的结论,这样在无法或很难得到李亚普诺夫函数的情况下,可以通过这种方法判别临界点的稳定性。

A complete novel assumption is presented. Then, we prove the existence of two nontrivial solutions for a class of second order superlinear difference systems with the help of Minimax principle and Linking theorem in critical point theory,.6. Two applications in physics are given. Firstly, a coupled differential system coming from second harmonic waves is discussed.

利用Ricceri建立的三临界点定理,证明了一类含参数二阶差分方程在某些新的条件下至少存在三个解;随后,利用临界点理论中的极小极大原理和环绕定理,讨论了一类二阶超线性差分方程组多重解的存在性。

Given a mesh, we first solve a Poisson equation to construct a scalar field and use it to generate some critical points. The cutting paths between the critical points and the boundaries are solved in the Poisson scalar field using the deepest descent method. For meshes with nonzero-genus, we construct a Harmonic scalar field, and connect the saddle points with the boundaries based on the Morse theory.

对于给定的任意网格,通过求解泊松方程构造标量场来选取临界点,并采用最速下降法给出临界点到边界或者初始点的切割路径;对于亏格不为零的网格,基于Morse理论,通过构造一个调和标量场来得到鞍点,并将它们连接到边界。

The uniform of nonlinear incremental equation at critical points or non-critical points are deduced, and the relations between incremental solutions and nullspace basis of incremental matrix are put forward. So the incremental solutions can be obtained directly by nullspace basis, and can be expressed nullspace basis of matrix.

推导了非线性增量平衡方程在极值临界点与非临界点解的统一形式,指出增量解与增广矩阵零空间基的关系,从而可直接由零空间基获得增量解,并直接表示为增广矩阵零空间基的形式。

It converts the calculation of PoC to a nonlinear programming problem, which is solved by predictor corrector primal dual interior point method in this paper.

对直接求取电压崩溃临界点的零特征根法进行扩展,将临界点计算转化为非线性规划问题,并用预测校正原对偶内点法求解。

In this work, taking into account the molecular fraction and the presence of the 4-atom, we calculated the Gibbs free energy and studied, the influence of the percent of 4-atom on the parameters of the triple point and the critical point.

本文进一步考虑4-原子的存在,计算了有空格点存在时系统的吉布斯自由能,研究了4-原子所占百分数对三相点t_t,P_t值以及临界点t_c,p_c值的影响,获得了具有三相点和临界点的完整相图。

The flow discharge at that point can be used as the estimated value of the bankfull discharge.

若以流量为参数,高含沙水流含沙量与流量构成一维离散动力系统;对于一般挟沙水流,含沙量随流量演化过程中的临界点,出现在流量与含沙量乘积为某一定值之时,该临界点处流量为平滩流量估算值。

In the framework of effective field theory, we have calculated the relation of Curie temperature and crystal field and discussed system's critical and related magnetic properties in the system of three-dimensional cubic lattice in the presence of bond dilution and random crystal field.

系统的居里温度随着晶场的增加而单调递减并且在相图中出现了三临界点,而键稀疏对三临界点有着明显的抑制作用,当键稀疏浓度降低到阈值pc 的时候系统将出现诱导磁有序,此时晶场浓度无论如何取值,该系统在一定的晶场范围内 0 ≤?

And by using steam ejector pump, the exergy loss of reducers can also be decreased. In this article, the models of reducers and steam ejector pump are established. According to the analysis of economic benefit, there is a critical point about the low-pressure steam extra-flow rate in their application.

通过分析蒸汽喷射式热泵与减温减压器的模型,本文从理论的角度提出了蒸汽喷射式热泵与减温减压器的选择存在着一个临界点,即低压蒸汽临界过量流量,并通过计算,给出了不同电热比价条件下,蒸汽喷射式热泵与减温减压器应用的临界点

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