A nonlinear transformation of the Whitham-Broer-Kaup (WBK) model equations in the shallow water small-amplitude regime is derived by using a simplified homogeneous balance method. The WBK model equations are linearize...A nonlinear transformation of the Whitham-Broer-Kaup (WBK) model equations in the shallow water small-amplitude regime is derived by using a simplified homogeneous balance method. The WBK model equations are linearized under the nonlinear transformation. Various exact solutions of the WBK model equations are obtained via the nonlinear transformation with the aid of solutions for the linear equation.展开更多
提出一种基于广域量测系统(wide area measurement system,WAMS)和数据采集与监控(supervisory control and data acquisition,SCADA)系统混合量测的电力系统状态估计方法,该方法充分利用相量测量单元(phasor measurement unit,PMU)量...提出一种基于广域量测系统(wide area measurement system,WAMS)和数据采集与监控(supervisory control and data acquisition,SCADA)系统混合量测的电力系统状态估计方法,该方法充分利用相量测量单元(phasor measurement unit,PMU)量测方程为线性方程的特点,将SCADA量测方程分解为两步线性化方程,并将PMU量测数据中的电压幅值平方、电流幅值平方和相角量测分别添加到2个线性化方程中,从而实现PMU和SCADA混合量测状态估计的非迭代计算,提高了计算效率。通过IEEE标准系统和波兰电网仿真算例,验证了所提方法的有效性。展开更多
Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broe...Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure.展开更多
文摘A nonlinear transformation of the Whitham-Broer-Kaup (WBK) model equations in the shallow water small-amplitude regime is derived by using a simplified homogeneous balance method. The WBK model equations are linearized under the nonlinear transformation. Various exact solutions of the WBK model equations are obtained via the nonlinear transformation with the aid of solutions for the linear equation.
文摘提出一种基于广域量测系统(wide area measurement system,WAMS)和数据采集与监控(supervisory control and data acquisition,SCADA)系统混合量测的电力系统状态估计方法,该方法充分利用相量测量单元(phasor measurement unit,PMU)量测方程为线性方程的特点,将SCADA量测方程分解为两步线性化方程,并将PMU量测数据中的电压幅值平方、电流幅值平方和相角量测分别添加到2个线性化方程中,从而实现PMU和SCADA混合量测状态估计的非迭代计算,提高了计算效率。通过IEEE标准系统和波兰电网仿真算例,验证了所提方法的有效性。
文摘Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure.
基金Supported by the Natural Science Foundation of Hunan Province(12JJ6006)Hunan Province Science and Technology Project(2012FJ3107)the National Natural Science Foundation of China(11071222)