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中文摘要：
连续体建模是研究大规模电力系统机电动态的一种新方法。该方法对实际电力系统进行建模，得到参数不均匀的连续体模型。针对1维不均匀连续体电力系统，当单位长度电纳和发电机惯性均随空间位置按照幂函数变化时，通过变量代换，给出描述发电机转子相对角速度和线路增量功率传播的洛默尔方程，求出用贝塞尔函数表示的稳态精确解，推导出机电波的特性阻抗和波头速度表达式。最后，给出不均匀连续体系统中机电波传播的一个算例。结果表明，连续体电力系统的参数不均匀会导致机电波发生波形畸变，在任何位置都可能发生反射，而且机电波的传播速度和特性阻抗均为空间位置的函数。
英文摘要：
Continuum modeling technique is a completely novel scheme for studying the electromechanical dynamic characteristics of large-scale power systems, using which the continuum model with non-uniform parameters is obtained while modeling a real power system. For a one-dimensional continuum power system with non-uniform parameters, while both the per-unit length susceptance and the rotor＇s inertia change in the form of power functions of spatial coordinate, utilizing the variables substitution, the Lommel equations about electromechanical wave propagation described by the rotor relative angular speed and incremental power are presented, and the exact steady-state analytical solutions expressed by Bessel functions are also solved. Next, the characteristic impedance and the wave speed expressions of electromechanical wave propagation are derived from the steady-state solutions. Finally, an example is analyzed about the electromechanical wave propagation in a continuum power system with non-uniform parameters. The results show that the parameters＇ non-uniformity of the continuum power system leads to the waveform distortion of electromechanical wave, and is reflected at any location. Furthermore, both propagation velocity and characteristic impedance are functions of the spatial coordinates.
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