连续体模型-研究大规模电力系统机电动态的一种新方法

The Continuum Model-A Novel Method for Studying Electromechanical Dynamics of Large-scale Power Systems

随着同步相量测量技术的发展和对电力系统的深入研究,人们认识并观察到电力系统中的功角扰动以远低于光速的速度传播。大规模电力系统的连续体模型突破了对传统认识的局限性,用波动理论这一崭新的视角研究电力系统的机电动态。本文根据经典物理学中矢量场理论,推导出电力系统连续体模型中的非线性波动方程,求出均匀电力系统在平衡点附近的解析解,分析了机电波传播幅度变化的内在机理。最后用一个由64台发电机组成的环形仿真系统,证明了大规模电力系统连续体系机电波模型的正确性。作为一种新的数学模型,连续体系模型能够揭示电力系统机电动态的内在规律。

With the development of synchronized phasor measurement technique and the profound research on power systems, people observed that the disturbance of power-angle propagates in the power system with a speed much lower than that of light. The continuum model breaks through the limit of traditional concept. It studies electromechanical dynamics of large-scale power systems using wave motion principle, as is a completely novel viewpoint. Based on the vector field theory of the classical physics, this paper develops a nonlinear electromechanical wave equation in the continuum model for large-scale power systems. The analytical solution of the linearized wave equation about the equilibrium state shows the amplitude propagation mechanism of the electromechanical wave. Finally, the simulation results of a ring discrete system of 64 generators validate the proposed electromechanical wave continuum model for power systems. As a novel mathematical model, it might reveal the internal rules of electromechanical dynamics for large-scale power systems.