Mathematical model for the optimal distribution of district heat sources

Author(s):  
Bela Goblyos ◽  
Mihaly Reger
2011 ◽  
Vol 138-139 ◽  
pp. 305-309
Author(s):  
Chao Zhang ◽  
Xiao Dan Zhao ◽  
Guang Hui Zhou

The heat pump technology which is as an effective energy-saving technology has attracted more and more attentions. A novel solar-air dual-source heat pump system which could synchronously use two heat sources has been provided. In this paper, the mathematical model of the new heat pump system has been built and the calculation accuracy of the mathematical model has been proved. Based on a novel solar-air dual-source heat pump system, the mathematical models of the thermophysical parameters of working fluids, compressor, capillary, condenser, evaporator, and heat pump system have been established. The distribution parameter method has been adopted in the mathematical models of condenser and evaporator. Three operation modes of the novel solar-air dual-source heat pump system have been simulated. The simulated results and the experimental results have been compared. The experiments of the novel solar-air dual-source heat pump system have been accomplished in the constant temperature and humidity laboratory. The compared results show that the error is less than 10%.


2014 ◽  
Vol 711 ◽  
pp. 112-116
Author(s):  
Jian Guo Jin ◽  
Jing Wen Yu ◽  
Li Hua Cao

According to the thermal experiment data and correction curve of heat supply units, the mathematical analysis formula of thermodynamic characteristic has been given accurately in this paper. Moreover, the mathematical model with objective function and the constraint condition for parallel operation of several heat supply units has been built up. By using simplex method and improved SCDD(Synthesized Constrained Dual Descent) method on the basis of the mathematical model, optimal distribution of heat and power load between heat supply units has been realized, and result indicates that this model is reliable and may achieve the goal of energy conservation.


Author(s):  
Oleksandr Hachkevych ◽  
Mykola Hachkevyc ◽  
Adrian Torskyy ◽  
Valentyn Mozharovskyy

A mathematical model for determining the temperature in a two - layer shell under convective heating and heat sources is constructed. The temperature field for a two-layer shell thermally insulated on the inner surface, which is heated by temperature from the outer surface, is considered.


2018 ◽  
Vol 173 ◽  
pp. 06012 ◽  
Author(s):  
Marina Trapeznikova ◽  
Natalia Churbanova ◽  
Anastasiya Lyupa

The work deals with the development of an original mathematical model of porous medium flow constructed by analogy with the quasigasdynamic system of equations and allowing implementation via explicit numerical methods. The model is generalized to the case of multiphase multicomponent fluid and takes into account possible heat sources. The proposed approach is verified by a number of test predictions.


2015 ◽  
Vol 8 (2) ◽  
pp. 63-67
Author(s):  
Сушков ◽  
Sergey Sushkov ◽  
Бурмистрова ◽  
Olga Burmistrova

In the article the mathematical model of the optimal distribution of traffic between the various modes of transport. The model of the distribution of the requirements of traffic by mode of transport, the optimal cost function at the railway timber transportation option and function of the optimal scheme of cargo flows, taking into account interoperability timber. The solution of these tasks to determine the scope of rational road and rail transport under various conditions.


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