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Heat supply pipeline dynamic simulation method based on differential transformation

A technology for heating pipelines and dynamic simulation, which is applied in the field of comprehensive energy system calculation and analysis, can solve the problems of large dissipation and dispersion errors, and low approximation accuracy of time derivatives, and achieves the effect of reducing dissipation and dispersion errors.

Pending Publication Date: 2022-03-22
SOUTHEAST UNIV +1
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  • Abstract
  • Description
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  • Application Information

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Problems solved by technology

However, the existing finite-difference-based methods have large dissipation and dispersion errors, and have low approximation accuracy for time derivatives

Method used

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  • Heat supply pipeline dynamic simulation method based on differential transformation
  • Heat supply pipeline dynamic simulation method based on differential transformation
  • Heat supply pipeline dynamic simulation method based on differential transformation

Examples

Experimental program
Comparison scheme
Effect test

Embodiment

[0114] figure 2 It is a structural diagram of the district heating system adopted in this embodiment. The actual system includes a heat source and a heat exchange station, which are connected by a water supply pipeline with a length of 9250m and a return water pipeline. The proposed dynamic simulation method is verified in the matrix laboratory (MATLAB for short).

[0115] Simulations are carried out for the two situations of step change of inlet temperature and constant mass flow rate / simultaneous change of inlet temperature and mass flow rate to verify the simulation accuracy of the method of the present invention. The time step is set to 180s and the space step is set to 370m. Based on the differential transformation, the twentieth-order time polynomial approximation of the outlet temperature is constructed, and compared with the simulation results of the first-order upwind scheme and the second-order Yao scheme.

[0116] In the first case, the heat source inlet temperat...

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Abstract

The invention relates to the field of comprehensive energy system calculation and analysis, in particular to a heat supply pipeline dynamic simulation method based on differential transformation, which comprises the following steps of: S1, differentiating a pipeline partial differential equation by using a semi-discrete difference scheme with a total variation non-increasing property so as to convert the pipeline partial differential equation into an ordinary differential equation set; s2, converting an ordinary differential equation set into a linear recursion relational expression by using differential transformation; and S3, recursively solving a differential transformation coefficient of the state quantity of the ordinary differential equation set according to an initial value condition and a boundary value condition of the equation, obtaining an approximate analytical expression of each state quantity, and further obtaining a change track of each state quantity along with time. By means of the method, dispersion and dissipation errors in the heat supply pipeline simulation process can be effectively eliminated, meanwhile, due to the linear recursion characteristic of differential transformation, a solution with high time precision can be easily obtained, and therefore the accuracy and reliability of pipeline dynamic simulation are guaranteed.

Description

technical field [0001] The invention relates to the field of calculation and analysis of comprehensive energy systems, in particular to a dynamic simulation method for heating pipelines based on differential transformation. Background technique [0002] The heating pipeline is an important part of the district heating system, and the accurate description of the thermodynamic process of the heating pipeline is helpful to realize the accurate analysis of the dynamic characteristics of the district heating system, thereby helping to improve the performance of the district heating system. The operating economy and safety have therefore received extensive attention. [0003] The thermodynamic dynamic process of the heating pipeline is manifested in the delay of temperature propagation, heat loss and the heat storage effect of the heat medium, which is usually described by a time-varying coefficient partial differential equation. However, the existing finite-difference-based meth...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/18G06F17/13G06F113/14G06F119/08
CPCG06F30/18G06F17/13G06F2113/14G06F2119/08
Inventor 俞睿智顾伟陆海陆帅罗恩博张苏涵吴志周苏洋
Owner SOUTHEAST UNIV
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