共查询到19条相似文献,搜索用时 171 毫秒
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《西安文理学院学报》2020,(2)
连续潮流算法通过引入一维校正方程有效地解决了传统潮流在功率极限附近时雅可比矩阵的奇异问题,从而追踪得到负荷不断增加的PV曲线以研究电网系统的静态电压稳定性.基于Matpower程序对连续潮流算法进行改进,通过引入单节点增加负荷以及多节点等步长增加负荷模式,从而追踪得到该模式下的多节点PV曲线以及崩溃电压值.提出了电压崩溃裕度指标和极限功率裕度,用来表征该节点的电压坚强程度.最后以某地区220kV电网为算例进行分析,验证了该方法的有效性. 相似文献
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潘朝毅 《内江师范学院学报》2009,24(10):33-35
当系数矩阵A是非奇H矩阵时,通过分析求解线性方程组的雅可比、高斯塞德尔和超松弛方法的迭代矩阵特征值,得出相关谱半径的性质,进而将雅可比迭代和高斯塞德尔迭代收敛的充分条件由A为严格对角占优矩阵放宽到A为非奇H矩阵,同时证明了此时低松弛迭代也是收敛的. 相似文献
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《赣南师范学院学报》2021,(3):24-29
从数学上证明了,在已知一个绝对分歧时间的三物种体系和四物种体系中,推导公式的雅可比矩阵转置矩阵通过初等变换可实现2行相等.推导公式因为"病态方程组"问题不能得到其他物种分歧时间的准确计算结果,而替代公式因无"病态方程组"问题可以得到满意结果. 相似文献
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通过对雅可比多项式性质的研究,利用初等方法得到了关于雅可比多项式的一组恒等式.并研究了雅可比多项式与斐波那契数的关系. 相似文献
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非线性动力系统周期解的初值同伦方法 总被引:1,自引:0,他引:1
本文研究动力系统周期解的同伦方法.首先将周期解的定解问题转化为非线性代数方程组,给出其单调同伦求解方法.并利用数值积分方法确定代数方程组的值及其Jacobi矩阵,从而证明了数值解的存在性并出其误差估计.最后的数值实例说明了该方法的有效性 相似文献
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A method is proposed to monitor and control Hopf bifurcations in multi-machine power systems using the information from wide area measurement systems (WAMSs). The power method (PM) is adopted to compute the pair of conjugate eigenvalues with the algebraically largest real part and the corresponding eigenvectors of the Jacobian matrix of a power system. The distance between the current equilibrium point and the Hopf bifurcation set can be monitored dynamically by computing the pair of conjugate eigenvalues. When the current equilibrium point is close to the Hopf bifurcation set, the approximate normal vector to the Hopf bifurcation set is computed and used as a direction to regulate control parameters to avoid a Hopf bifurcation in the power system described by differential algebraic equations (DAEs). The validity of the proposed method is demonstrated by regulating the reactive power loads in a 14-bus power system. 相似文献
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陈益民 《闽西职业技术学院学报》2008,10(4)
提出二自由度机械手末端执行器与各关节之间的运动速度分析方程式与静力学分析方程式,通过实例推导和分析,可以得到机械手运动的瞬时状况和静态下的力或力矩平衡问题,并可说明雅可比矩阵在运动学和力学两方面的运用和区别。 相似文献
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陈力 《商丘师范学院学报》2000,16(4):21-25
讨论了载体位置不受控制的带滑移铰两杆空间机械臂本体与末端抓手协调运动的控制问题。结合系统动量守恒系统我们导出了系统的动力学方程以及机械臂末端抓手的线速度与关节铰速度间的动力学Jacobi关系。 相似文献
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WANG Yongji WANG Hong Department of Control Science & Engineering Huazhong University of Science &Technology Wuhan Hubei P.R.China Control Systems Centre UMIST PO Box Manchester M QD UK 《重庆大学学报(英文版)》2004,3(1):26-29
~~identificationis7-7-1,where3nm==,andtheRPEalgorithmisusedtoupdatetheweightingofPNN.Thewholetrainingprocessuses800iterations.InordertoovercometheinaccuracyofPNNmodel,thecontrollerstructureisacompositeoneasfbff()()()ututut=+,(37)wherefb()utistheoutputoffeedbackcontroller,ff()utistheoutputofpredictivecontrollerdescribedbyEq.(14),with0.20=,0.40=,andmax5K=.Insimulatedclosedloopcontrol,ufb(t)isaproportionalcontroller,fb()()Putket=and5.0Pk=.Theset-pointofthesystemisd0.15,if040,and120()0.24,if4… 相似文献
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A nonlinear model predictive control problem based on pseudo-linear neural network (PNN) is discussed, in which the second order on-line optimization method is adopted. The recursive computation of Jacobian matrix is investigated. The stability of the closed loop model predictive control system is analyzed based on Lyapunov theory to obtain the sufficient condition for the asymptotical stability of the neural predictive control system. A simulation was carried out for an exothermic first-order reaction in a continuous stirred tank reactor. It is demonstrated that the proposed control strategy is applicable to some of nonlinear systems. 相似文献
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孟宪亮 《温州大学学报(社会科学版)》2009,(5):27-33
用双逐次投影迭代法来求解奇异线性方程组,当线性方程组的系数矩阵是对称半正定时,给出了不同情形时有关参量的选取以及相应的算法,并就收敛结果分别与雅可比迭代法和Gauss-Seidel迭代法进行了比较,数值结果表明,该方法对求解奇异线性方程组是很有效的. 相似文献
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基于被删减二元关系的可达性矩阵求解 总被引:1,自引:0,他引:1
利用邻接矩阵求解有向图的可达性矩阵,计算量大,提出将有向图表达成二元关系,忽略环和回路的处理,通过计算被删减二元关系的传递闭包来求解可达性矩阵,利用新方法可以较快地实现可达性矩阵的求解。 相似文献
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Xiao-gang Chen Yong-hui Yi Wei Wang Quan-yuan Jiang Chuang-xin Guo Yi-jia Cao 《浙江大学学报(A卷英文版)》2009,10(6):868-876
By considering the static voltage characteristic of the load, we propose a WAMS/SCADA mixed nonlinear method to estimate the voltage of unobservable buses caused by topology change or phasor measurement unit (PMU) malfunction in a power system. By modeling the load characteristic with data from SCADA, we employed the Gauss-Seidel method to solve the nonlinear equations and estimate the voltage of unobservable buses with the high precision voltages of neighboring buses measured by a PMU. Simulations were carried out on the IEEE 39-bus system, and the results show that this novel method can dynamically and accurately trace the variation of the voltage phasor of the unobservable buses. 相似文献