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Gaussian Process Model for Real-Time Optimal Control of Chiller System

가우시안 프로세스 모델과 냉동기 실시간 최적 제어

  • 김영진 (선문대학교, 건축사회환경학부) ;
  • 박철수 (성균관대학교 건축토목공학부)
  • Received : 2014.03.28
  • Accepted : 2014.07.03
  • Published : 2014.07.30

Abstract

For Model-Predictive Control (MPC) to be implemented in real application, data driven inverse models are advantageous since they are easily constructed as well as relatively fast and accurate, compared to first principle based models (simplified calculation [ISO 13790], dynamic simulation [EnergyPlus, ESP-r, TRNSYS, etc.], state space models, etc.). Gaussian Process Model (GPM), one of the inverse methods, can be beneficially used for real time stochastic optimal control of nonlinear building systems, since the GPM consumes much less computational time and does not require significant efforts. The GPM is a black-box model based on Bayesian approach based on measured in-output dataset. For real-time optimal control of chiller operation, this paper presents a coupling between the GPM and an optimization routine in MATLAB optimization toolbox. The two control parameters studied in the paper are the outlet temperatures of chilled water loop and cooling tower loop. In particular, Genetic Algorithm (GA), one of the meta-heuristic methods, was applied to find optimal control strategy. It is elaborated in the paper that GPM produces reliable control results reflecting probabilistic natures of the chiller system.

Keywords

Acknowledgement

Supported by : 국토교통부

References

  1. 김영진, 윤경수, 박철수, 패턴 서치 알고리즘과 유전자 알고리즘을 이용한 이중외피 시스템의 최적 제어, 대학건축학회논문집, 27(7), p.p.239-248, 2011
  2. 김영진, 박철수, 김인한, 몬테카를로 빌딩 시뮬레이션의 샘플링 방법과 모집단 추정, 대학건축학회논문집 28(6), p.p.227-238, 2012
  3. 윤경수, 박철수, 이중 외피 시스템의 수준별 제어, 대한건축학회논문집, 26(11), p.p.317-326, 2010
  4. 윤성환, 박철수, 이중외피 시스템의 정적 및 동적 제어 전략, 대한건축학회논문집, 25(2), p.p.223-231, 2009
  5. 윤성환, 박철수, 기존 건축물을 위한 x-Ray 개념의 에너지 모델 작성과 평가, 대한건축학회논문집, 30(1), p.p.235-244, 2014
  6. Abushakra, B., An Inverse Model to Predict and Evaluate the Energy Performance of Large Commercial and Institutional Buildings, IBPSA Conference Proceedings, Prague, Czech Republic, 1997
  7. Afram, A. and Janabi-Sharifi, F., Theory and Applications of HVAC Control Systems-A Review of Model Predictive Control (MPC), Building and Environment, Vol.72, p.p.343-355, 2014 https://doi.org/10.1016/j.buildenv.2013.11.016
  8. ASHRAE, Guideline14-Measurement of energy and demand savings, American Society of Heating, Refrigerating, and Air-Conditioning Engineers, Atlanta, GA, 2002
  9. ASHRAE, ASHRAE Fundamentals, American Society of Heating, Refrigerating, and Air-Conditioning Engineers, Atlanta, GA, 2013
  10. Augenbroe, G., Brown, J., Heo1, Y.S., Kim, S.H., Li, Z., McManus, S. and Zhao, F., Lessons from an Advanced Building Simulation Course, The Third National Conference of IBPSA-USA, Berkeley, California, July 30-August 1, 2008
  11. Bazjanac, V., BIM that Supports Life Cycle of Buildings, BuildingSMART Korea International Forum 2010, Seoul, Korea, April 21, 2010
  12. Bernal, W., Madhur, B., Truong, N. and Rahul, M., MLE+: A Tool for Integrated Design and Deployment of Energy Efficient Building Controls, 4th ACM Workshop on Embedded Sensing Systems for Energy-Efficiency in Buildings, Toronto, 2012
  13. Breesch, H. and Janssens, A., Building Simulation to Predict the Performances of Natural Night Ventilation: Uncertainty and Sensitivity Analysis, Proceedings of the 9th IBPSA Conference, August 15-18, Ecole Polytechnique de Montreal, Montreal, Canada, p.p.115-122, 2005
  14. de Wilde, P. and Tian, W., Predicting the Performance of an Office under Climate Change: A Study of Metrics, Sensitivity and Zonal Resolution, Energy and Buildings, Vol.42, p.p.1674-1684, 2010 https://doi.org/10.1016/j.enbuild.2010.04.011
  15. de Wit, S., Uncertainty in Prediction of Thermal Comfort in Buildings, Ph.D. thesis, Tu Delft Netherlands, 2001
  16. Dijk, H. and Spiekman, M., Energy Performance of Buildings; Outline for Harmonised EP Procedures. Final report EU SAVE ENPER project, Task B6. TNO Building and Construction Research, Delft(NL), June 29, 2004 (http://www.enper.org)
  17. Gilks, W. R., Richardson, S. and Spiegelhalter, D., Markov Chain Monte Carlo in Pratice, Chapman and Hall, 1995
  18. Heo, Y.S. and Zavala, V.M., Gaussian Process Modeling for Measurement and Verification of Building Energy Savings, Energy and Buildings, Vol.53, p.p.7-18, 2012
  19. Herzog, S., Atabay, D., Jungwirth, J. and Mikulovic, V., Self-adapting Building Models for Model Predictive Control, Proceedings of the 13th IBPSA Conference, August 26-28, Chambery, France, p.p.2489-2493, 2013
  20. Hopfe, C.J., Uncertainty and Sensitivity Analysis in Building Performance Simulation for Decision Support and Design Optimization. PhD thesis, Technische Universiteit Eindhoven, 2009
  21. Hyun, S.H., Park, C.S. and Augenbroe, G., Analysis of Uncertainty in Natural Ventilation Predictions of High-rise Apartment Buildings, Building Services Engineering Research and Technology, 29(4), p.p.311-326, 2008 https://doi.org/10.1177/0143624408092424
  22. ISO 13790, Energy Performance of Buildings-Calculation of Energy Use for Space Heating and Cooling, 2008
  23. Kim, D.W. and Park, C.S., A Heterogeneous System Simulation of a Double Skin Facade, Proceedings of the 12th IBPSA Conference, November 14-16, Sydney, Australia, p.p.601-608, 2011
  24. Kim, Y.J., Ahn, K.U., Park, C.S. and Kim, I.H., Gaussian Emulator for Stochastic Optimal Design of a Double Glazing System, Proceedings of the 13th IBPSA Conference, August 25-28, Chambery, France, p.p.2217-2224, 2013a
  25. Kim, Y.J., Yoon, S.H. and Park, C.S., Stochastic Comparison between Simplified Energy Calculation and Dynamic Simulation, Energy and Buildings, Vol.64, p.p.332-342, 2013b https://doi.org/10.1016/j.enbuild.2013.05.026
  26. Kim, Y.J., Ahn, K.U. and Park, C.S., Decision Making of HVAC System using Bayesian Markov Chain Monte Carlo method, Energy and Buildings, Vol.72, p.p.112-121, 2014 https://doi.org/10.1016/j.enbuild.2013.12.039
  27. Kocijan, J., Murray-Smith, R., Rasmussen, C.E. and Likar, B., Predictive Control with Gaussian Process Models, Proceedings of IEEE, Region 8 Eurocon 2003: Computer as a Tool, Piscataway, NJ, USA, September, pp.352-356, 2003
  28. Kocijan, J. and Murray-Smith, R., Nonlinear Predictive Control with a Gaussian Process Model, Switching and Learning, LNCS 3355, p.p.185-200, 2005
  29. Kotek, P., Jordan, F., Kabele, K. and Hensen, J., Technique of Uncertainty and Sensitivity Analysis for Sustainable Building Energy Systems Performance Calculations, Proceedings of the 10th IBPSA Conference, September 3-6, Beijing, China, p.p.629-636, 2007
  30. Lee, K.P. and Cheng, T.A., A Simulation-optimization Approach for Energy Efficiency of Chilled Water System, Energy and Buildings, Vol.54, p.p.290-296, 2012 https://doi.org/10.1016/j.enbuild.2012.06.028
  31. Lepore, R., Renotte, C., Frere, M. and Dumont, E., Energy Consumption Reduction in Office Buildings using Model-based Predictive Control, Proceedings of the 13th IBPSA Conference, August 26-28, Chambery, France, p.p.2459-2465, 2013
  32. MacDonald, I.A., Quantifying the Effects of Uncertainty in Building Simulation, Ph.D. thesis, University of Strathclyde, Scotland, 2002
  33. Monfet, D. and Zmeureanu, R., Identification of the Electric Chiller Model for the EnergyPlus Program using Monitored Data in an Existing Cooling Plant, Proceedings of the 12th IBPSA Conference, November 14-16, Sydney, Australia, p.p.530-537, 2011
  34. Neal, R.M., Bayesian Learning for Neural Networks, Springer, New York, Lecture Notes in Statistics 118, 1996
  35. Nouidui, T., Wetter, M. and Zuo, W., Functional Mock-up Unit for Co-simulation Import in EnergyPlus, Journal of Building Performance Simulation, 7(3), p.p.192-202, 2014 https://doi.org/10.1080/19401493.2013.808265
  36. Park, C.S. and Augenbroe, G., Local vs. Integrated Control Strategies for Double-Skin Systems, Automation in Construction, Vol.30, p.p.50-56, 2013 https://doi.org/10.1016/j.autcon.2012.11.030
  37. Rasmussen, C.E., Gaussian Processes in Machine Learning, Technical report, Max Planck Institute for Biological Cybernetics, 72076 Tubingen, Germany, 2004
  38. Rasmussen, C.E. and Williams, C.K.I., Gaussian Processes for Machine Learning, the MIT Press, ISBN 026218253X, 2006
  39. Schaffer, J.D., Multi objective optimization with vector evaluated genetic algorithms, Proceedings of the First International Conference on Genetic Algorithms, Hillsdale, New Jersey, p.p.93-100, 1985
  40. Suter, G., Icoglu, O., Mahdavi, A. and Spasojevic, B., Position Uncertainty in Space Scene Reconstruction for Simulation-based Lighting Control, Proceedings of the 9th IBPSA Conference, August 15-18, EcolePolytechnique de Montreal, Montreal, Canada, p.p.1191-1198, 2005
  41. Vanhatalo, J., Riihimaki, J., Hartikainen, J. and Vehtari, A., Bayesian Modeling with Gaussian Processes using the MATLAB toolbox GPstuff. submitted, 2011
  42. Wetter, M., Co-simulation of Building Energy and Control Systems with the Building Controls Virtual Test Bed, Journal of Building Performance Simulation, 4(3), p.p.185-203, 2011 https://doi.org/10.1080/19401493.2010.518631
  43. Wouters, P., Heijmans, N. and Loncour, X., Outline for a General Framework for the Assessment of Innovative Ventilation Systems, RESHYVENT report, 2004
  44. Yoon, S.H., Park, C.S. and Augenbroe, G., On-line Parameter Estimation and Optimal Control Strategy of a Double-Skin System, Building and Environment, 46(5), p.p.1141-1150, 2011 https://doi.org/10.1016/j.buildenv.2010.12.001
  45. Zhang, Y., O'Neill, Z., Wanger, T. and Augenbroe, G., An Inverse Model with Uncertainty Quantification to Estimate the Energy Performance of an Office Building, Proceedings of the 13th IBPSA Conference, August 26-28, Chambery, France, p.p.614-621, 2013
  46. Zhao, J., Lam, K.P. and Ydstie, B.E., Energyplus Model-based Predictive Control (EMPC) by using MATLA/SIMULINK and MLE+, Proceedings of the 13th IBPSA Conference, August 26-28, Chambery, France, p.p.2466-2473, 2013

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