Regulating indoor air environment is one of the core functions of building energy management system. Heating, ventilation, and air-conditioning (HVAC) control systems play an important role in adjusting the room temperature to provide occupants a desired level of comfort. Occupant comfort has a direct effect on the energy consumption and providing an optimal balance between comfort and energy consumption is a challenging problem. This paper presents a framework for control of building HVAC systems using a methodology based on power-shaping paradigm that exploits the passivity property of a system. The system dynamics are expressed in the Brayton–Moser (BM) form which exhibits a gradient structure with the mixed-potential function, which has the units of power. The power-shaping technique is used to synthesize the controller by assigning a desired power function to the closed-loop dynamics so as to make the equilibrium point asymptotically stable. The proposed methodology is demonstrated on HVAC subsystems: RC network building zone model and a heat exchanger system.
Issue Section:
Research Papers
References
1.
DOE,
2011
, Buildings Energy Data Book, Energy Efficiency and Renewable Energy
, US Department of Energy
, Washington, DC.http://web.archive.org/web/20130214012609/http:/buildingsdatabook.eren.doe.gov/default.aspx2.
Pérez-Lombard
, L.
, Ortiz
, J.
, and Pout
, C.
, 2008
, “A Review on Buildings Energy Consumption Information
,” Energy Build.
, 40
(3
), pp. 394
–398
.3.
Dounis
, A. I.
, and Caraiscos
, C.
, 2009
, “Advanced Control Systems Engineering for Energy and Comfort Management in a Building Environment: A Review
,” Renewable Sustainable Energy Rev.
, 13
(6
), pp. 1246
–1261
.4.
Braun
, J. E.
, 1990
, “Reducing Energy Costs and Peak Electrical Demand Through Optimal Control of Building Thermal Storage
,” ASHRAE Trans.
, 96
(2
), pp. 876
–888
.http://www.techstreet.com/ashrae/standards/sl-90-16-2-reducing-energy-costs-and-peak-electrical-demand-through-optimal-control-of-building-thermal-storage?product_id=17175405.
Dincer
, I.
, 2002
, “On Thermal Energy Storage Systems and Applications in Buildings
,” Energy Build.
, 34
(4
), pp. 377
–388
.6.
Henze
, G. P.
, Felsmann
, C.
, and Knabe
, G.
, 2004
, “Evaluation of Optimal Control for Active and Passive Building Thermal Storage
,” Int. J. Therm. Sci.
, 43
(2
), pp. 173
–183
.7.
Henze
, G. P.
, 2005
, “Energy and Cost Minimal Control of Active and Passive Building Thermal Storage Inventory
,” ASME J. Sol. Energy Eng.
, 127
(3
), pp. 343
–351
.8.
Ma
, Y.
, 2013
, Model Predictive Control for Energy Efficient Buildings
, University of California
, Berkeley, Berkeley, CA
.9.
Oldewurtel
, F.
, Parisio
, A.
, Jones
, C. N.
, Gyalistras
, D.
, Gwerder
, M.
, Stauch
, V.
, Lehmann
, B.
, and Morari
, M.
, 2012
, “Use of Model Predictive Control and Weather Forecasts for Energy Efficient Building Climate Control
,” Energy Build.
, 45
, pp. 15
–27
.10.
McBee
, B. K.
, 2011
, “Computational Approaches to Improving Room Heating and Cooling for Energy Efficiency in Buildings
,” Ph.D. thesis
, Virginia Polytechnic Institute and State University, Blacksburg, VA.https://vtechworks.lib.vt.edu/handle/10919/2891111.
Mukherjee
, S.
, Mishra
, S.
, and Wen
, J. T.
, 2012
, “Building Temperature Control: A Passivity-Based Approach
,” IEEE 51st Annual Conference on Decision and Control (CDC)
, Maui, HI, Dec. 10–13, pp. 6902
–6907
.12.
Ma
, Y.
, Anderson
, G.
, and Borrelli
, F.
, 2011
, “A Distributed Predictive Control Approach to Building Temperature Regulation
,” American Control Conference (ACC
), San Francisco, CA, June 29–July 1, pp. 2089
–2094
.13.
Deng
, K.
, Goyal
, S.
, Barooah
, P.
, and Mehta
, P. G.
, 2014
, “Structure-Preserving Model Reduction of Nonlinear Building Thermal Models
,” Automatica
, 50
(4
), pp. 1188
–1195
.14.
Ma
, Y.
, Kelman
, A.
, Daly
, A.
, and Borrelli
, F.
, 2012
, “Predictive Control for Energy Efficient Buildings With Thermal Storage
,” IEEE Control Syst. Mag.
, 32
(1
), pp. 44
–64
.15.
Chinde
, V.
, Heylmun
, J. C.
, Kohl
, A.
, Jiang
, Z.
, Sarkar
, S.
, and Kelkar
, A.
, 2015
, “Comparative Evaluation of Control-Oriented Zone Temperature Prediction Modeling Strategies in Buildings
,” ASME
Paper No. DSCC2015-9864. 16.
van der Schaft
, A.
, and Jeltsema
, D.
, 2014
, “Port-Hamiltonian Systems Theory: An Introductory Overview
,” Foundations and Trends in Systems and Control
, Vol. 1
, Now Publishers, Inc., Breda, The Netherlands.17.
Ortega
, R.
, Perez
, J. A. L.
, Nicklasson
, P. J.
, and Sira-Ramirez
, H.
, 2013
, Passivity-Based Control of Euler-Lagrange Systems: Mechanical, Electrical and Electromechanical Applications
, Springer Science and Business Media
, London.18.
Chopra
, N.
, and Spong
, M. W.
, 2006
, “Passivity-Based Control of Multi-Agent Systems
,” Advances in Robot Control
, Springer
, Berlin, pp. 107
–134
.19.
Arcak
, M.
, 2006
, “Passivity as a Design Tool for Group Coordination
,” IEEE Trans. Autom. Control
, 52(8), pp. 1380–1390.20.
Brayton
, R.
, and Moser
, J.
, 1964
, “A Theory of Nonlinear Networks I
,” Q. Appl. Math.
, 22
(1
), pp. 1
–33
.21.
Ortega
, R.
, Jeltsema
, D.
, and Scherpen
, J. M.
, 2003
, “Power Shaping: A New Paradigm for Stabilization of Nonlinear RLC Circuits
,” IEEE Trans. Autom. Control
, 48
(10
), pp. 1762
–1767
.22.
Jeltsema
, D.
, and Scherpen
, J. M.
, 2007
, “A Power-Based Description of Standard Mechanical Systems
,” Syst. Control Lett.
, 56
(5
), pp. 349
–356
.23.
García-Canseco
, E.
, Jeltsema
, D.
, Ortega
, R.
, and Scherpen
, J. M.
, 2010
, “Power-Based Control of Physical Systems
,” Automatica
, 46
(1
), pp. 127
–132
.24.
Favache
, A.
, and Dochain
, D.
, 2010
, “Power-Shaping Control of Reaction Systems: The CSTR Case
,” Automatica
, 46
(11
), pp. 1877
–1883
.25.
Borja
, P.
, Cisneros
, R.
, and Ortega
, R.
, 2015
, “Shaping the Energy of Port-Hamiltonian Systems Without Solving PDE's
,” 54th IEEE Conference on Decision and Control (CDC
), Osaka, Japan, Dec. 15–18, pp. 5713
–5718
. 26.
Pasumarthy
, R.
, Kosaraju
, K. C.
, and Chandrasekar
, A.
, 2014
, “On Power Balancing and Stabilization for a Class of Infinite-Dimensional Systems
,” International Symposium on Mathematical Theory of Networks and Systems (MTNS
), Groningen, The Netherlands, July 7–11, pp. 819–825.http://fwn06.housing.rug.nl/mtns2014-papers/fullPapers/0416.pdf27.
Kosaraju
, K. C.
, and Pasumarthy
, R.
, 2015
, “Power-Based Methods for Infinite-Dimensional Systems
,” Mathematical Control Theory I
, Springer
, Cham, Switzerland, pp. 277
–301
.28.
Kosaraju
, K. C.
, Pasumarthy
, R.
, and Jeltsema
, D.
, 2015
, “Alternative Passive Maps for Infinite-Dimensional Systems Using Mixed-Potential Functions
,” IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
, Lyon, France, July 4–7, pp. 1–6.https://doi.org/10.1016/j.ifacol.2015.10.20529.
Igarashi
, Y.
, Hatanaka
, T.
, Fujita
, M.
, and Spong
, M. W.
, 2009
, “Passivity-Based Attitude Synchronization in SE(3)
,” IEEE Trans. Control Syst. Technol.
, 17
(5
), pp. 1119
–1134
.30.
Van der Schaft
, A.
, and Maschke
, B.
, 2013
, “Port-Hamiltonian Systems on Graphs
,” SIAM J. Control Optim.
, 51
(2
), pp. 906
–937
.31.
Chinde
, V.
, Kosaraju
, K.
, Kelkar
, A.
, Pasumarthy
, R.
, Sarkar
, S.
, and Singh
, N.
, 2016
, “Building HVAC Systems Control Using Power Shaping Approach
,” American Control Conference (ACC
), Boston, MA, July 6–8, pp. 599
–604
.32.
Jeltsema
, D.
, and Scherpen
, J.
, 2009
, “Multidomain Modeling of Nonlinear Networks and Systems
,” IEEE Control Syst.
, 29
(4
), pp. 28
–59
.33.
Gogte
, G.
, Venkatesh
, C.
, Kazi
, F.
, Singh
, N.
, and Pasumarthy
, R.
, 2012
, “Passivity Based Control of Underactuated 2-D Spidercrane Manipulator
,” 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS
), Melbourne, Australia, July 9–12, pp. 1–8. http://www.mtns2012.com.au/files/presentations/SE43/mtns.pdf34.
Satpute
, S.
, Mehra
, R.
, Kazi
, F.
, and Singh
, N.
, 2014
, “Geometric—PBC Approach for Control of Circular Ball and Beam System
,” International Symposium on Mathematical Theory of Networks and Systems (MTNS
), Groningen, The Netherlands, July 7–11, pp. 1238–1243. http://fwn06.housing.rug.nl/mtns2014-papers/fullPapers/0310.pdf35.
Donaire
, A.
, Mehra
, R.
, Ortega
, R.
, Satpute
, S.
, Romero
, J. G.
, Kazi
, F.
, and Singh
, N.
, 2016
, “Shaping the Energy of Mechanical Systems Without Solving Partial Differential Equations
,” IEEE Trans. Autom. Control
, 61
(4
), pp. 1051
–1056
.36.
Khalil
, H. K.
, and Grizzle
, J.
, 1996
, Nonlinear Systems
, Vol. 3
, Prentice Hall
, Upper Saddle River, NJ
.37.
Atam
, E.
, and Helsen
, L.
, 2016
, “Control-Oriented Thermal Modeling of Multizone Buildings: Methods and Issues: Intelligent Control of a Building System
,” IEEE Control Syst.
, 36
(3
), pp. 86
–111
.38.
Gao
, N.
, and Niu
, J.
, 2004
, “CFD Study on Micro-Environment Around Human Body and Personalized Ventilation
,” Build. Environ.
, 39
(7
), pp. 795
–805
.39.
Goyal
, S.
, and Barooah
, P.
, 2010
, “Modeling Thermal Dynamics in Multi-Zone Buildings
,” University of Florida, Gainesville, FL, Technical Report No. 10.40.
Gouda
, M.
, Underwood
, C.
, and Danaher
, S.
, 2003
, “Modelling the Robustness Properties of HVAC Plant Under Feedback Control
,” Build. Serv. Eng. Res. Technol.
, 24
(4
), pp. 271
–280
.41.
Travesi
, J.
, Maxwell
, G.
, Klaassen
, C.
, Holtz
, M.
, Knabe
, G.
, Felsmann
, C.
, Achermann
, M.
, and Behne
, M.
, 2001
, “Empirical Validation of Iowa Energy Resource Station Building Energy Analysis Simulation Models
,” International Energy Agency, Paris, France, Report No. Task 22
.http://archive.iea-shc.org/publications/downloads/Iowa_Energy_Report.pdf42.
ERS
, 2015
, “Energy Resource Station Technical Description
,” Iowa Energy Center, Ankeny, IA, accessed June 1, 2017, http://www.iowaenergycenter.org/energy-resource-station-ers/43.
Wilcox
, S.
, and Marion
, W.
, 2008
, “Users Manual for TMY3 Data Sets
,” National Renewable Energy Laboratory, Golden, CO.44.
Cøengel
, Y.
, 2007
, Heat and Mass Transfer: A Practical Approach
, McGraw-Hill, New York.Copyright © 2017 by ASME
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