A Method to Directly Calculate Hopf Bifurcation Point of Dynamic Voltage Stability 直接计算动态电压稳定Hopf分岔点的方法
The tangent stiffness matrix is obtained from the engineering strain and the principle for determining the limit point and bifurcation point is given. 由工程应变推导出几何非线性的切线刚度矩阵,并给出判断分歧点与极限点的准则,最后用一数值例题说明该方法的分析过程。
Prediction-correction homotopy continuation method for high-dimension Hopf bifurcation point tracking 基于预测-校正的同伦延拓法追踪高维Hopf分岔点研究
Saddle-node Bifurcation Point Calculation of Voltage Stability Based on Adjoint System Theory 基于伴随系统理论的静态电压稳定鞍结分岔点计算
When the decision day comes, the day when the crisis reaches its bifurcation point, they might not be ready. 当危机走到岔路口、需要他们作出抉择的那一天到来,他们可能还没有准备好。
The point at which branching of the graph occurs is called a bifurcation point and corresponds to a critical value of the load. 图上发生分叉处的点叫分支点,它相当于荷载的临界值。
The critical value at bifurcation point of the side slope with bedding rock mass is determined by its bifurcation set. 顺层边坡岩体结构在其分岔点处的载荷临界值是由其突变模型的分岔集确定的;
Firstly, the characteristic value of the system in the neighborhood of an equilibrium point was analyzed. The parametric equations of the flutter were obtained in the vicinity of a Hopf bifurcation point. 首先,对系统平衡点进行了特征值分析,得到在Hopf分岔点附近的颤振参数方程。
A periodic oscillation analytic solution for the system at bifurcation point was obtained by using the method of series. 利用级数法求出了系统在分歧点处的时间周期振荡解的解析表达式。
The analysis indicated that SVC control could delay saddle-node bifurcation point and enhance voltage stability greatly. 研究表明SVC控制可以延迟系统鞍结分岔点,大大提高系统电压稳定性。
Calculating Hopf bifurcation point of a nonlinear rotor-bearing system 非线性转子轴承系统Hopf分叉点的计算
A hybrid method for identifying limit induced bifurcation point and saddle node bifurcation point in two stages is proposed, which is based on continuous power flow ( CPF) method and point of collapse ( PoC) method. 基于连续潮流法和崩溃点法,提出了识别和计算极限诱导分岔点和鞍结分岔点的2阶段混合算法。
The existence and property of Bifurcation point of the approximation problem are proved; 证明逼近问题存在分歧点并具有和原来同样的对称性质;
In this paper, the definition of bifurcation point is given, the properties are studied and the methods for calculating bifurcation point are also given. 本文对于非线性方程中两参数分歧问题,给出了分歧.点的定义,研究了分歧点的性质,并给出了计算分歧点的辅助方程。
The result of the calculation shows that may the undergo period doubling or Hopf bifurcations, in accordance with Floquet multipliers, the transition boundaries of the system are obtained and the effect of the variations of lubricant viscosity on the Hopf bifurcation point of the system is analysed. 计算结果表明,系统存在倍周期和Hopf分叉。根据Floquet乘数,得到了分叉转迁集并分析了润滑油粘度的变化对系统Hopf分叉的影响。
Based on the stationary probability density function, the change of the local behaviour in the neighbourhood of the bifurcation point of a system due to stochastic perturbation is analysed. 在此基础上,分析了系统在分叉点附近由于随机扰动的影响带来的系统局域行为的变化。
Analysis of secondary buckling and secondary bifurcation point for composite laminated plates 复合材料层合板的二次屈曲和二次分枝点分析
A new computation method for saddle-node bifurcation point of power system 一种新的电力系统鞍型分叉点计算方法
The extended systems for computing simple high order bifurcation point are constructed. 构造了计算简单高阶分歧点的扩充系统。
A Numerical Method for Hopf Bifurcation Point in Ordinary Differential Equations 关于常微分方程Hopf分支点的一种数值计算方法
The saddle-node bifurcation point and the limit-induced bifurcation point are two kinds of the most frequent critical points in static voltage stability analysis of power systems. 电力系统静态电压稳定分析中,常见有鞍结型分岔点和约束诱导型分岔点。
Numerical algorithm for determining Hopf bifurcation point of nonlinear system 确定非线性系统Hopf分岔点的数值方法
In this paper, with the Louts criterion for Hopf bifurcation, the Hopf bifurcation point of the nonlinear systems and the corresponding frequency at this point can be obtained directly, which overcomes the drawback of the traditional method involving much computation for systems 'Jacobian matrix. 通过引入Hopf分岔的劳斯判据,可直接求得非线性系统的Hopf分岔点以及系统振荡的频率,克服了以往方法因计算系统Jacobian矩阵的计算量大的缺点。
Characteristic of nonlinear system stochastic resonance in the neighbourhood of bifurcation point 非线性动力系统分岔点邻域内随机共振的特性
Equivalent normal forms of the cavitated bifurcation equation at the bifurcation point were presented by using singularity theory. 利用奇点理论给出了空穴分岔方程在分岔点的等价正规形。
The Hopf bifurcation point, i. e, the critical velocity of vehicle system can be determined by studying the eigenvalues of jacobi matrix of the first order approximation equations of ordinary differential equations. 通过研究车辆系统常微分方程的一次近似方程的雅可比矩阵的特征值,来确定系统的Hopf分叉值即临界速度。
The supercritical Hopf bifurcation point of system is obtained by the algebraic criterion of Hopf bifurcation, then the Normal Form direct method is used to obtain the coefficient of Normal Form at the bifurcation point. 采用Hopf分岔的代数判据求得了系统的超临界Hopf分岔点,然后应用NormalForm直接法计算得到系统Hopf分岔点的NormalForm。
The stochastic delay differential equations with jumps and stochastic delay integro-differential equations are applied to biological population dynamics. Using the numerical methods in this paper, we simulate the response of the systems and found that the stability and Hopf bifurcation point of the biological populations. 将带跳跃的随机延迟微分方程和随机延迟积分微分方程应用到生物种群动力学中,利用本文提出的数值方法对生物种群系统的响应进行了数值模拟,结果发现了生物种群的稳定性和Hopf分岔点。
The Hopf bifurcation point and the periodic solution branches are obtained with continuation method, in which the linear and nonlinear critical speeds are easily determined. 运用延续算法得到了系统Hopf分岔点和分岔后的周期解分支,据此确定了车辆系统的线性和非线性临界速度。
Through the single-dynamic load model dynamic reactive power compensation device can change the original system bifurcation point, increase the load limits and improve the system voltage stability. 通过对单机.动态负荷模型添加无功功率动态补偿装置,可以改变原系统的分岔点,增加了负荷极限,从而提高了系统电压稳定性。