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Title: A fast and accurate modeling approach for water and steam thermodynamics with practical applications in district heating system simulation

Abstract

In U.S. district heating (DH) systems, steam is the most common heat transport medium. Industry demand for new advanced modeling capabilities of complete steam DH systems is increasing; however, the existing models for water/steam thermodynamics are too slow for large system simulations because of computationally expensive algebraic loops that require the solution to nonlinear systems of equations. For practical applications, this work presents a novel split-medium approach that implements numerically efficient liquid water models alongside various water/steam models, breaking costly algebraic loops by decoupling mass and energy balance equations. New component models for steam DH systems are also presented. We implemented the models in the equation based Modelica language and evaluated accuracy and computing speed across multiple scales: from fundamental thermodynamic properties to complete districts featuring 10 to 200 buildings. Compared to district models with the IF97 water/steam model and equipment models from the Modelica Standard Library, the new implementation improves the scaling rate for large districts from cubic to quadratic with negligible compromise to accuracy. Additionally, for an annual simulation with 180 buildings, this translates to a computing time reduction from 33 to 1-1.5 h. These results are critically important for industry practitioners to simulate steam DH systems atmore » large scales.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [3]; ORCiD logo [4]
  1. Pennsylvania State Univ., University Park, PA (United States)
  2. Univ. of Colorado, Boulder, CO (United States)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  4. Pennsylvania State Univ., University Park, PA (United States); National Renewable Energy Lab. (NREL), Golden, CO (United States)
Publication Date:
Research Org.:
National Renewable Energy Laboratory (NREL), Golden, CO (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Energy Efficiency Office. Building Technologies Office; USDOE Office of Energy Efficiency and Renewable Energy (EERE), Energy Efficiency Office. Advanced Manufacturing Office
OSTI Identifier:
1889680
Alternate Identifier(s):
OSTI ID: 1869723; OSTI ID: 1892186
Report Number(s):
NREL/JA-5500-84103
Journal ID: ISSN 0360-5442; MainId:84876;UUID:7c8df227-68b0-4ab2-ac24-ea5924746a4e;MainAdminID:67587
Grant/Contract Number:  
AC36-08GO28308; SC0014664; EE0009139; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Energy
Additional Journal Information:
Journal Volume: 254; Journal Issue: Part A; Journal ID: ISSN 0360-5442
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; 97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; computing speed; district heating; modelica; modeling; simulation; steam

Citation Formats

Hinkelman, Kathryn, Anbarasu, Saranya, Wetter, Michael, Gautier, Antoine, and Zuo, Wangda. A fast and accurate modeling approach for water and steam thermodynamics with practical applications in district heating system simulation. United States: N. p., 2022. Web. doi:10.1016/j.energy.2022.124227.
Hinkelman, Kathryn, Anbarasu, Saranya, Wetter, Michael, Gautier, Antoine, & Zuo, Wangda. A fast and accurate modeling approach for water and steam thermodynamics with practical applications in district heating system simulation. United States. https://doi.org/10.1016/j.energy.2022.124227
Hinkelman, Kathryn, Anbarasu, Saranya, Wetter, Michael, Gautier, Antoine, and Zuo, Wangda. Tue . "A fast and accurate modeling approach for water and steam thermodynamics with practical applications in district heating system simulation". United States. https://doi.org/10.1016/j.energy.2022.124227. https://www.osti.gov/servlets/purl/1889680.
@article{osti_1889680,
title = {A fast and accurate modeling approach for water and steam thermodynamics with practical applications in district heating system simulation},
author = {Hinkelman, Kathryn and Anbarasu, Saranya and Wetter, Michael and Gautier, Antoine and Zuo, Wangda},
abstractNote = {In U.S. district heating (DH) systems, steam is the most common heat transport medium. Industry demand for new advanced modeling capabilities of complete steam DH systems is increasing; however, the existing models for water/steam thermodynamics are too slow for large system simulations because of computationally expensive algebraic loops that require the solution to nonlinear systems of equations. For practical applications, this work presents a novel split-medium approach that implements numerically efficient liquid water models alongside various water/steam models, breaking costly algebraic loops by decoupling mass and energy balance equations. New component models for steam DH systems are also presented. We implemented the models in the equation based Modelica language and evaluated accuracy and computing speed across multiple scales: from fundamental thermodynamic properties to complete districts featuring 10 to 200 buildings. Compared to district models with the IF97 water/steam model and equipment models from the Modelica Standard Library, the new implementation improves the scaling rate for large districts from cubic to quadratic with negligible compromise to accuracy. Additionally, for an annual simulation with 180 buildings, this translates to a computing time reduction from 33 to 1-1.5 h. These results are critically important for industry practitioners to simulate steam DH systems at large scales.},
doi = {10.1016/j.energy.2022.124227},
journal = {Energy},
number = Part A,
volume = 254,
place = {United States},
year = {Tue May 17 00:00:00 EDT 2022},
month = {Tue May 17 00:00:00 EDT 2022}
}

Works referenced in this record:

Comparative study on water thermodynamic property functions of TRACE code
journal, November 2020


Experiences from City-Scale Simulation of Thermal Grids
journal, January 2021


Simulation of a thermal power plant with district heating: Comparative results of 5 different codes
journal, September 2006


Port-Hamiltonian Modeling of Thermofluid Systems and Object-Oriented Implementation With Modelica I: Thermodynamic Part
journal, January 2021


Homogeneous two-phase flow models and accurate steam-water table look-up method for fast transient simulations
journal, October 2017


Chattering in dynamic mathematical two-phase flow models
journal, May 2012


A review of modelling approaches and tools for the simulation of district-scale energy systems
journal, December 2015

  • Allegrini, Jonas; Orehounig, Kristina; Mavromatidis, Georgios
  • Renewable and Sustainable Energy Reviews, Vol. 52
  • DOI: 10.1016/j.rser.2015.07.123

A Tabular Taylor Series Expansion Method for Fast Calculation of Steam Properties
journal, April 1997

  • Miyagawa, K.; Hill, P. G.
  • Journal of Engineering for Gas Turbines and Power, Vol. 119, Issue 2
  • DOI: 10.1115/1.2815600

The IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam
journal, January 2000

  • Wagner, W.; Cooper, J. R.; Dittmann, A.
  • Journal of Engineering for Gas Turbines and Power, Vol. 122, Issue 1
  • DOI: 10.1115/1.483186

Dynamic exergy analysis – Modelica®-based tool development: A case study of CHP district heating in Bottrop, Germany
journal, December 2017

  • Sangi, Roozbeh; Jahangiri, Pooyan; Thamm, Alexander
  • Thermal Science and Engineering Progress, Vol. 4
  • DOI: 10.1016/j.tsep.2017.10.008

Modelica Buildings library
journal, March 2013

  • Wetter, Michael; Zuo, Wangda; Nouidui, Thierry S.
  • Journal of Building Performance Simulation, Vol. 7, Issue 4
  • DOI: 10.1080/19401493.2013.765506

A novel model for steam transportation considering drainage loss in pipeline networks
journal, February 2017


District energy systems: Modelling paradigms and general-purpose tools
journal, December 2018


A study on energy storage characteristics of industrial steam heating system based on dynamic modeling
journal, December 2020


Dynamic modeling for assessment of steam cycle operation in waste-fired combined heat and power plants
journal, October 2019


General performance evaluation method of integrated solar combined cycle (ISCC) system
journal, February 2022


Εnergy-exergy analysis of ultra-supercritical biomass-fuelled steam power plants for industrial CHP, district heating and cooling
journal, July 2020


A heuristic method to minimise the chattering problem in dynamic mathematical two-phase flow models
journal, September 2011

  • Bonilla, J.; Yebra, L. J.; Dormido, S.
  • Mathematical and Computer Modelling, Vol. 54, Issue 5-6
  • DOI: 10.1016/j.mcm.2011.04.026

Efficient and accurate computation scheme of p–T thermodynamic properties of water and steam
journal, November 2012

  • Wang, Xiao-Dong; An, Bin; Duan, Yuan-Yuan
  • Journal of the Taiwan Institute of Chemical Engineers, Vol. 43, Issue 6
  • DOI: 10.1016/j.jtice.2012.07.007

Modeling district heating and cooling systems with URBANopt, GeoJSON to Modelica Translator, and the Modelica Buildings Library
conference, September 2021


Drum-boiler dynamics
journal, March 2000


Heat Roadmap Europe: Combining district heating with heat savings to decarbonise the EU energy system
journal, February 2014