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本文将燃气轮机动态过程问题从牛顿力学体系框架向哈密顿体系推进与转化。文中按哈密顿原理建立了一套新的形式完整的燃气轮机动态数学模型,该模型适用于由对偶变量组成的辛几何空间中用辛算法求解。研究中首次揭示出了(动态过程中)对偶变量之间的内在联系,挖掘出传统方法无法认识到的动态规律(能量守恒的新规律),并进而可辐射到其它热力系统。本成果为燃气轮机热力系统从牛顿体系向哈密顿体系的更新换代做出基础性贡献,哈密顿新体系的提出将使我国热力系统动态学的理论和实践提到一个新的高度。
In this paper, the dynamic process of gas turbine is advanced and transformed from the Newtonian mechanical system framework to the Hamiltonian system. In this paper, a new set of complete mathematical model of gas turbine is established according to Hamilton principle. The model is suitable for solving symplectic algorithm in symplectic space composed of dual variables. The study reveals for the first time the inherent relationship between dual variables (dynamic process), excavated the dynamic law (new law of conservation of energy) that traditional methods can not recognize, and then can be radiated to other thermodynamic systems. This achievement makes a fundamental contribution to the renewal of the Hamilton system from the Newtonian system to the gas turbine thermal system. The new Hamiltonian system will bring the theory and practice of the thermodynamic system dynamics in our country to a new height.