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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 turbines are a complex non-linear, multi-input-multi-output system. With the increase of the number of gas turbine shafts (split shaft, biaxial, triple shaft ...), the amount of adjustment is increased and the regulation is complicated (from adjusting the amount of fuel to adjusting the amount of fuel simultaneously, adjustable nozzles, ...) and the inclusion of multiple regulation loops in the system add to the complexity of the analysis. In this paper, the modern control theory is used to analyze the gas turbine with a regenerator and an adjustable nozzle. The differential equations and algebraic equations describing the sub-shaft unit are listed. The state-space mathematical model of the sub-shaft unit is obtained after the transformation. . Based on this, a general program which is suitable for the dynamic analysis of different sub-units and different regulation rules is compiled by the method of subsystem combination. This mathematical model can also be used for optimal control of split-axis units.