分轴燃气轮机的状态空间数学模型及控制系统动态分析通用程序

State-space Mathematical Model of Split-shaft Gas Turbines and a General Computer Program for Dynamic Study of Control System

燃气轮机是一个复杂的非线性、多输入一多输出系统。随着燃气轮机轴数的增加(分轴、双轴、叁轴…),被调节量的增多和调节规律的复杂化(从只调节燃料量到同时调节燃料量、可调喷嘴、可转导叶…),以及在系统中包括多个调节回路,更增加了分析的复杂性。本文用现代控制理论对带回热器、具有可调喷嘴的分轴燃气轮机进行分析研究,列出了描述分轴机组的微分方程与代数方程,经变换后得到了分轴机组的状态空间数学模型。在此基础上,用子系统组合的方法编制了适合于不同分轴机组和不同调节规律动态分析的通用程序。此数学模型亦可用于分轴机组的最优控制。

Gas turbine is a nonlinear, multi-input and multi-output powersystem. The increasing of the number of shafts and the number of control paramet-ers, togather with their corresponding control loops, make the gas turbines as acontrol object more and more complicate. This paper gives a study of the dynamicbehaviour of split shaft gas turbines with regenerator and adjustable nozzles by themodern control theory. With the detailed consideration of the physical phenomena,which take place in transient response, five differential and six algebraic equationsdescribing the dynamic behaviour are deduced, finally, through some special transfor-mation, a mathematical model of split shaft gas turbines in state-space form isobtained. On the basis of this state-space mathematical model, this paper presentsa common computer programm for the dynamic study of different split-shaft gasturbines with different control rules. This mathematical model may also be used forthe optimal control of split-shaft gas turbines.