水电仿真中导叶开度模型的分析与改进

Mathematic Model Analysis and Improvement of Guide Vane Opening in Hydropower Simulation

水电仿真系统中关键的模型是水机调速器模型,基于仿真的目的,对混流式水轮发电机的关键数学模型进行了改进.针对水电仿真系统中调速器开机和关机过程中过速和不稳定问题,采用回归分析的方法,建立多项式回归模型,分段解析拟和推导出了水机调速器导叶开度的开机和关机数学模型,该方法简单、精确度高,即使输入为任意规律也可求解.上述方法经可靠性分析和测试,结果表明它在能保证仿真系统的真实性、可靠性和实用性的前提下,能以最简单、最直接的方式解决最复杂的问题,而且效果很好.吉林丰满水电站计算机仿真系统的应用实践,也验证了该方法.

The hydroturbine governor model is crucial to a hydropower simulation system. To simulate a hydropower system, the key mathematic model of mixed-flow hydroturbine is improved so as to solve the problem of overspeed and unstability during starting and stopping the governor, i.e. , a polynomial regression model is developed through regression analysis to derive a mathematic model for governor starting/stopping with relation to the guide vane opening of the hydroturbine by way of piecewise analysls/fitting. The approach proposed is simple in operation with high accuracy even if the input is in random fashion. And the results of reliability analysis/ test showed that the approach will not only ensure the reliability and practicability but also solve the most complex problems with favorable effect available in the simplest and most direct way. The simulation practice in Fengman Hydropower Station exemplifies these advantages.