基于仿真的水轮发电机关键数学模型的改进与可靠性研究

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，采用分段拟合与解析运算相结合的方法，导出了简单的函数形式，简化了计算过程，使模型可适用于水轮机的所有工况范围。由于关键模型中引水系统的水击模型系数是时变的，普通求解方法不适用，本文采用了新的动态迭代方法，该方法简单，精确度高，即使输入为任意规律也可求解。上述方法可靠性分析和融合测试，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。

Focus Mathematic Model Improvement & Reliability Research for Hydraulic Turbine Generator Based on Simulation

For simulation, the focus mathematic model improvement and reliability analysis for automatic adjustment object of hydraulic turbine generator are achieved in this paper. Combining the phase-fit method with parsing method, we educe the simple function and predigest the computing, which is suitable for all work of hydraulic turbine. Because of parameter time-variable on water-hitting model of leading-water system, the general solution is not usable, so a new dynamic iteration solution is used, which is simple, ensures the precision whatever the input is. After analysis and fusion process, the method above has been tested according to the reality, reliability and practicability of the system, which can solve complex issue by simple and direct manner and also can be proved in the example of Fengman hydroelectric power station.