Abstract
Urban heating in northern China accounts for 40% of total building energy usage. In central heating systems, heat is often transferred from heat source to users by the heat network where several heat exchangers are installed at heat source, substations and terminals respectively. For given overall heating capacity and heat source temperature, increasing the terminal fluid temperature is an effective way to improve the thermal performance of such cascade heat exchange network for energy saving. In this paper, the mathematical optimization model of the cascade heat exchange network with three-stage heat exchangers in series is established. Aim at maximizing the cold fluid temperature for given hot fluid temperature and overall heating capacity, the optimal heat exchange area distribution and the medium fluids’ flow rates are determined through inverse problem and variation method. The preliminary results show that the heat exchange areas should be distributed equally for each heat exchanger. It also indicates that in order to improve the thermal performance of the whole system, more heat exchange areas should be allocated to the heat exchanger where flow rate difference between two fluids is relatively small. This work is important for guiding the optimization design of practical cascade heating systems.
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References
Nabity, J. A., Modeling a Freezable Water-Based Heat Exchanger for Use in Spacecraft Thermal Control, Journal of Thermophysics and Heat Transfer, Vol. 30, No. 3, 2014, pp. 212–218.
Bergles, A. E., Heat Transfer Enhancement-the Maturing of Second-Generation Heat Transfer Technology, Heat Transfer Engineering, Vol. 18, 1997, pp. 47–55.
Zhang, Y. P., Zhang, Y., Shi, W. X., Shang, R., Cheng, R., and Wang, X., A New Approach Based on the Inverse Problem and Variation Method for Solving Building Energy and Environment Problems: Preliminary Study and Illustrative Examples, Building and Environment, Vol. 91, 2015, pp. 204–218.
Luis, P. E., Jose, O., and Christine, P., A Review on Buildings Energy Consumption Information, Energy and Buildings, Vol. 40, No. 3, 2008, pp. 394–398.
Chen, S. T., Zhao, H. L., Hou, Y., and Zhang, Q. Y., Experimental Study on Cryogenic Counterflow Woven- Wire Screen Matrix Heat Exchanger, Journal of Thermophysics and Heat Transfer, Vol. 26, No. 2, 2012, pp. 322–327.
Cheng, R, Wang, X., and Zhang, Y. P., Energy-Efficient Building Envelopes with Phase Change Materials: New Understanding and Related Research, Heat Transfer Engineering, Vol. 35, No. 11-12, 2014, pp. 970–984.
Lee, S. M., and Kim, K. Y., Thermal Performance of a Double-Faced Printed Circuit Heat Exchanger with Thin Plates, Journal of Thermophysics and Heat Transfer, Vol. 28, No. 2, 2014, pp. 251–257.
Zhelev, T. K., and Semkov, K. A., Cleaner Flue Gas and Energy Recovery through Pinch Analysis, Journal of Cleaner Production, Vol. 12, No. 2, 2004, pp. 165–170.
Mago, P., Fumo, N., and Charmara, L. M., Performance Analysis of CHP and CHP Systems Operating Following the Thermal and Electric Load, International Journal of Energy Research, Vol. 33, No. 9, 2009, pp. 852–864.
Li, Y., Fu, L., Zhang, S. G., and Jiang, Y., A New Type of District Heating System Based on Distributed Absorption Heat Pumps, Energy, Vol. 36, 2011, pp. 4570–4576.
Li, Y., Fu, L., Zhang S. G., and Jiang, Y., A New Type of District Heating Method with Co-Generation Based on Absorption Heat Exchange (Co-ah Cycle), Energy Conversion and Management, Vol. 52, 2011, pp. 1200–1207.
Hasan, A., Kurnitski, J., and Jokiranta, K. A., Combined Low Temperature Water Heating System Consisting of Radiators and Floor Heating, Energy and Buildings, Vol. 41, 2009, pp. 470–479.
Zsebik, A., and Sitkujr, G., Heat Exchanger Connection in Substations - A Tool of Decreasing Return Temperature in District Heat Networks, Energy Engineering, Vol. 98, No. 5, 2001, pp. 20–31.
Khan, K. H., Rasul, M. G., and Khan, M. M. K., Energy Conservation in Buildings: Cogeneration and Cogeneration Coupled with Thermal Energy Storage, Applied Energy, Vol. 77, 2004, No. 1, pp. 15–34.
Barbieri, E. S., Melino, F., and Morini, M., Influence of the Thermal Energy Storage on the Profitability of Micro- CHP Systems for Residential Building Applications, Applied Energy, Vol. 97, 2012, pp. 714–722.
Fu, L., Li, Y., and Zhang, S. G., Concept and Application of Absorption Heat Exchanger, Building Science, Vol. 10, 2010, pp. 136–140. (in Chinese)
Wang, S., Xie, X. Y., and Jiang, Y., Optimization Design of the Large Temperature Lift/Drop Multi-Stage Vertical Absorption Temperature Transformer Based on Entransy Dissipation Method, Energy, Vol. 68, 2014, pp. 712–721.
Zhang, Y., Shi, W. X., and Zhang, Y. P., From Heat Exchanger to Heat Adaptor: Concept, Analysis and Application, Applied Energy, Vol. 115, 2014, pp. 272–279.
Shah, R. K., and Skiepko, T., Entropy Generation Extrema and Their Relationship With Heat Exchanger Effectiveness- Number of Transfer Unit Behavior for Complex Flow Arrangements, Journal of Heat Transfer, Vol. 126, No. 6, 2004, pp. 994–1002.
Guo, Z. Y., Li, D. Y., and Wang, B. X., A Novel Concept for Convective Heat Transfer Enhancement, International Journal of Heat and Mass Transfer, Vol. 41, No. 2, 1998, pp. 2221–2225.
Guo, Z. Y., Zhu, H. Y., and Liang, X. G., Entransy-A Physical Quantity Describing Heat Transfer Ability, International Journal of Heat and Mass Transfer, Vol. 50, No. 13-14, 2007, pp. 2545–2556.
Liu, X. B., Meng, J. A., and Guo, Z. Y., Entropy Generation Extremum and Entransy Dissipation Extremum for Heat Exchanger Optimization, Chinese Science Bulletin, Vol. 54, No. 6, 2009, pp. 943–947.
Cheng, X. T., and Liang, X. G., Optimization Principles for Two-Stream Heat Exchangers and Two-Stream Heat Exchanger Networks, Energy, Vol. 46, No. 1, 2012, pp. 386–392.
Zhang, T., Liu, X. H., Zhang, L., and Jiang, Y., Match Properties of Heat Transfer and Coupled Heat and Mass Transfer Processes in Air-Conditioning System, Energy Conversion and Management, Vol. 53, No. 1, 2012, pp. 102–113.
Chen, Q., Entransy Dissipation-Based Thermal Resistance Method for Heat Exchanger Performance Design and Optimization, International Journal of Heat and Mass Transfer, Vol. 60, 2013, pp. 156–162.
Li, F., and Niu, J. L., An Inverse Approach for Estimating the Initial Distribution Of Volatile Organic Compounds in Dry Building Material, Atmospheric Environment, Vol. 39, No. 8, 2005, pp. 1447–1455.
Fayazbakhsh, M. A., Bagheri, F., and Bahrami, M., An Inverse Method for Calculation of Thermal Inertia and Heat Gain in Air Conditioning and Refrigeration Systems, Applied Energy, Vol. 138, 2015, pp. 496–504.
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This research is financed by National Key Research and Development Program of China (2016YFB0901405), National Natural Science Foundation of China (51706148) and Sichuan Science and Technology Program (2017JY0333).
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This research is financed by National Key Research and Development Program of China (2016YFB0901405), National Natural Science Foundation of China (51706148) and Sichuan Science and Technology Program (2017JY0333).
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Zhang, Y., Wei, Z., Zhang, Y. et al. Inverse problem and variation method to optimize cascade heat exchange network in central heating system. J. Therm. Sci. 26, 545–551 (2017). https://doi.org/10.1007/s11630-017-0972-1
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DOI: https://doi.org/10.1007/s11630-017-0972-1