Minimization of electricity demand and cost for multi-zone buildings: Part I—Modeling and validation

References

• Argyros, I.K., and F. Szidarovszky. 1993. The Theory and Applications of Iteration Methods, Vol. 4. Boca Raton, FL: CRC Press.
   Google Scholar
• Brakken-Thal, S. 2007. Gershgorin's theorem for estimating eigenvalues. http://buzzard.ups.edu/courses/2007spring/projects/brakkenthal-paper.pdf.
   Google Scholar
• Brandemuehl, M.J., S. Gabel, and I. Andersen. 1993. A Toolkit for Secondary HVAC System Energy Calculation. American Society of Heating, Refrigerating and Air-Conditioning Engineers.
   Google Scholar
• Bueno, B., L. Norford, G. Pigeon, and R. Britter. 2012. A resistance-capacitance network model for the analysis of the interactions between the energy performance of buildings and the urban climate. Building and Environment 54:116–25.
   Web of Science ®Google Scholar
• Chai, T., and R.R. Draxler. 2014. Root mean square error (RMSE) or mean absolute error (MAE)? Geoscientific Model Development Discussions 7(1):1525–34.
   Google Scholar
• Clark, D.R. 1985. HVACSIM+ Building Systems and Equipment Simulation Program: Reference Manual. NBSIR 84–2996. Washington, DC: U.S. Department of Commerce.
   Google Scholar
• Cvetković, L., and M. Nedović. 2009. Special H-matrices and their Schur and diagonal-Schur complements. Applied Mathematics and Computation 208(1):225–30.
   Web of Science ®Google Scholar
• Desplanques, J. 1887. Theory of Algebra. Journal de Mathematiques Speciales. 9:12–3.
   Google Scholar
• Dobbs, J.R., and B.M. Hency. 2012. Automatic model reduction in architecture: A window into building thermal structure. Fifth National Conference of IBPSA-USA Madison, Wisconsin August 1–3, 2012.
   Google Scholar
• DOE. 1980. DOE 2 Reference Manual, Part 1, Version 2.1. Lawrence Berkeley National, Department of Energy. doe2.com/download/doe-21e/DOE-2ReferenceManualVersion2.1A.pdf.
   Google Scholar
• DOE. 2008. M&V Guidelines: Measurement and certification for federal energyprojects, version 3.0. http://www1.eere.energy.gov/femp/pdfs/mvguidelines.pdf.
   Google Scholar
• DOE. 2010. www.doe2.com/equest/.
   Google Scholar
• DOE. 2010. eQUEST, the QUick Energy Simulation Tool, www.doe2.com/equest/.
   Google Scholar
• Goyal, S., C. Liao, and P. Barooah. 2011. Identification of multi-zone building thermal interaction model from data. 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) Orlando, FL, USA, December 12–15, 2011.
   Google Scholar
• Horn, R.A., and C.R. Johnson. 1985. Matrix Analysis. New York, NY: Cambridge University Press.
   Google Scholar
• Horn, R.A., and C.R. Johnson. 1999. Matrix Analysis. New York, NY: Cambridge University Press.
   Google Scholar
• Jacobon, D. 1986. Bibliography of BLAST Related Articles. BLAST Support Office, University of Illinois at Urbana-Champaign, Chicago, IL.
   Google Scholar
• Javed, F., N. Arshad, F. Wallin, L. Vassileva, and E. Dahlquist. 2012. Forecasting for demand response in smart grids: An analysis on use of anthropologic and structural data and short term multiple loads forecasting. Applied Energy 96(August):150–160.
   Web of Science ®Google Scholar
• Jin, G.Y., W.J. Cai, Y.W. Wang, and Y. Yao. 2006. A simple dynamic model of cooling coil unit. Energy Conversion and Management 47(15):2659–72.
   Web of Science ®Google Scholar
• L´evy, L. 1881. Sur le possibilit‘e du l'equlibre ’electrique. [On the possibility of electric equlibre]. Comptes Rendus de l'Académie des Sciences Paris 93:706–8.
   Google Scholar
• Lombard, C., and E.H. Mathews. 1992. Efficient, steady state solution of a time variable RC network, for building thermal analysis. Building and Environment 27(3):279–87.
   Web of Science ®Google Scholar
• Lombard, C., and E.H. Mathews. 1999. A two-port envelope model for building heat transfer. Building and Environment 34(1):19–30.
   Web of Science ®Google Scholar
• Mackiw, G. 1995. Note on the equality of the column and row rank of a matrix. Mathematics Magazine 68(4):285–6.
   Google Scholar
• Mao, C., J.S. Haberl, and J.C. Baltazar. 2013. Peak heating/cooling load design methods: How we got to where we are today in the US. Proceedings of 13th International Conference of the IBPSA, France, August 25–30, pp. 143–51.
   Google Scholar
• McKenzie, L.W. 1960. Matrices with Dominant Diagonals and Economic Theory. Mathematical methods in the social sciences. K.J. Arrow, S. Karlin, and P. Suppes, eds. Stanford, CA: Stanford University Press; pp. 47–62.
   Google Scholar
• Nassif, N., S. Moujaes, and M. Zaheeruddin. 2008. Selftuning dynamic models of HVAC system components. Energy Building 40:1709–20. DOI: 10.1016/j.enbuild.2008.02.026.
   Web of Science ®Google Scholar
• Nassif, N., R. Tesiero, and N. AlRaees. 2014. A new air conditioning fan model based on numerical analysis. American Journal of Engineering and Applied Sciences 7(1):36–44.
   Google Scholar
• Ogunsola. 2016. Investigation of methodologies for minimizing buildings electricity demand and cost. Ph.D. Dissertation, School of Aerospace and Mechanical Engineering, University of Oklahoma. https://shareok.org/handle/11244/34736.
   Google Scholar
• Ogunsola, O., and L. Song. 2014. November. Investigation of building passive thermal storage for optimal heating system design. In ASME 2014 International Mechanical Engineering Congress and Exposition, Montreal, Canada, November 14–20, American Society of Mechanical Engineers; pp. V08AT10A040–V08AT10A040).
   Google Scholar
• Ogunsola, O.T., and L. Song. 2015. Application of a simplified thermal network model for real-time thermal load estimation. Energy and Buildings 96:309–18.
   Web of Science ®Google Scholar
• Ogunsola, O.T., L. Song, and G. Wang. 2014. Development and validation of a time-series model for real-time thermal load estimation. Energy Building 76(2014):440–9.
   Web of Science ®Google Scholar
• Ogunsola, O.T., L. Song, and Y. Wang. 2016. Analysis of passive thermal storage opportunities for heating system design. Science and Technology for the Built Environment 22(3):266–280.
   Web of Science ®Google Scholar
• Poole, D. 2014. Linear Algebra: A Modern Introduction. Stamford, CT: Cengage Learning.
   Google Scholar
• Radecki, P., and B. Hencey. 2012. Online building thermal parameter estimation via Unscented Kalman Filtering. IEEE American Control Conference (ACC), 2012, Montreal, QC, Canada, June 27–29.
   Google Scholar
• Schmidt, D., and G. Johannesson. 2004. Optimised RC networks incorporated within macro-elements for modelling thermally activated building constructions. Nordic Journal of Building Physics 3:72–100.
   Google Scholar
• Snyder, M., and T. Newell. 1990. Cooling cost minimization using building mass for thermal storage. ASHRAE Transactions 96(2):830–8.
   Google Scholar
• Song, L., I.S. Joo, and S. Gunawan. 2012. Next-day daily energy consumption forecast model development and model implementation. Journal of Solar Energy Engineering 134(3):031002.
   Web of Science ®Google Scholar
• Sourbron, M., M. Baelmans, and L. Helsen. 2009. Thermal response of thermally activated building systems (TABS) in office buildings. Proceedings of EFFSTOCK. Stockholm, Sweden, June 14–17.; pp. 57–64.
   Google Scholar
• Stein, J., and M. Hydeman. 2004. Development and testing of the characteristic curve fan model. ASHRAE Transactions 110:347–56.
   Google Scholar
• Varga, R.S. 2009. Matrix Iterative Analysis, Vol. 27. Berlin, Heidelberg: Springer Science & Business Media.
   Google Scholar
• Varga, R.S., and J. Gillis. 1963. Matrix iterative analysis. Physics Today 16:52.
   Google Scholar
• Wang, S.W., and X.H. Xu. 2006. Parameter estimation of internal thermal mass of building dynamic models using genetic algorithm. Energy Conversion and Management 47(13–14):1927–1941.
   Web of Science ®Google Scholar
• Wetter, M. 2006. Multizone building model for thermal building simulation in Modelica. The Modelica Association, Modelica 2006, September 4–5.
   Google Scholar
• Xu, X. 2005. Model based building evaluation and diagnosis. PhD Dissertation, Department of Building Services Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong.
   Google Scholar
• Yang, L., and Y. Li. 2008. Cooling load reduction by using thermal mass and night ventilation. Energy and Buildings 40(11):2052–8.
   Web of Science ®Google Scholar
• Yao, Y., M. Huang, J. Mo, and S. Dai. 2013. State-space model for transient behavior of water-to-air surface heat exchanger. International Journal of Heat and Mass Transfer 64:173–92.
   Web of Science ®Google Scholar
• Yao, Y., Z. Lian, and Z. Hou, Z. 2004. Thermal analysis of cooling coils based on a dynamic model. Applied Thermal Engineering 24(7):1037–50.
   Web of Science ®Google Scholar
• Zhou, X., and J.E. Braun. 2007. A simplified dynamic model for chilled-water cooling and dehumidifying coils—Part 1: Development (RP-1194). HVAC&R Research 13(5):785–804.
   Web of Science ®Google Scholar