三轴燃气轮机的数学模型及其动态特性的分析
The Mathematical Model of Three-Shaft Marine Gas Turbine and its Dynamic Analysis
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摘要: 本文以船用三轴燃气轮机为研究对象,建立了详细的动态数学模型.文中提出了以非稳 态工况为小偏差线性化的起点,每一小步都以前一步所达到的非稳态工况为起始零点,用非稳 态变工况的方法进行校正,不断更换所有方程中的系数值的计算方法.从而,用小偏差的线性 数学模型,进行适当修改后,可以用来求取非线性系统在大扰动下的过渡过程.这对调节系统 的设计、参数选择和现场调试是一个有用的工具.按上述方法编制的计算机程序有较大的通 用性,能用于不同类型的燃气轮机,不仅能求得大、小扰动的过渡过程,也能用于求解稳态变工 况的参数.Abstract: In this paper, a detailed dynamic model for three-shaft marine gas turbine is established. The suggested calculation method uses unsteady operation regime as the initial point of linearization, and every step. initiates with new coefficient matrices from the unsteady regime obtained by the previous step. Consequently, with some modifications, a linear model can be used to calculate the transients of the nonlinear systems under large perturbations. This method is a useful tool for design, parameter optimization and site adjustment of control systems. The computer programm based on this method is versatile, and can be used for estimating dynamic behaviour of gas turbines of different types under small or large perturbations, also, for steady performance study of the gas turbines.
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