An Analytical-Numerical Simulation Method for Single-phase Thermal System

By utilizing the traditional single-phase distributed parameter methodology of thermal system, this paper has established a mathematical model. According to the assumptions of the model and simplified representation on the coefficients T,X regarded as constant, the analytic solution of this model has been gotten by implementing the double Laplace transformation on it. Based on such a process, this paper has constructively utilized an analyticalnumerical simulation method on these sorts of models. The application of this hybrid simulation method can meet the needs of the dynamical analyzing on a single-phase distributed parameter thermal system as well as verifying the static thermal characteristics of this plant. In comparison with other distributed parameter models, the calculation result of this model has showed that it has a quality of higher precision with numerical stability even at a big time step size. This method can also accelerate the computing process by adjusting the time step size for different simulation purpose.