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A Multi-Timescale Bilinear Model for Optimization and Control of HVAC Systems with Consistency

Author

Listed:
  • Zelin Nie

    (State Key Laboratory for Manufacturing Systems Engineering, School of Automation Science and Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Feng Gao

    (State Key Laboratory for Manufacturing Systems Engineering, School of Automation Science and Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Chao-Bo Yan

    (State Key Laboratory for Manufacturing Systems Engineering, School of Automation Science and Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

Abstract

Reducing the energy consumption of the heating, ventilation, and air conditioning (HVAC) systems while ensuring users’ comfort is of both academic and practical significance. However, the-state-of-the-art of the optimization model of the HVAC system is that either the thermal dynamic model is simplified as a linear model, or the optimization model of the HVAC system is single-timescale, which leads to heavy computation burden. To balance the practicality and the overhead of computation, in this paper, a multi-timescale bilinear model of HVAC systems is proposed. To guarantee the consistency of models in different timescales, the fast timescale model is built first with a bilinear form, and then the slow timescale model is induced from the fast one, specifically, with a bilinear-like form. After a simplified replacement made for the bilinear-like part, this problem can be solved by a convexification method. Extensive numerical experiments have been conducted to validate the effectiveness of this model.

Suggested Citation

  • Zelin Nie & Feng Gao & Chao-Bo Yan, 2021. "A Multi-Timescale Bilinear Model for Optimization and Control of HVAC Systems with Consistency," Energies, MDPI, vol. 14(2), pages 1-13, January.
  • Handle: RePEc:gam:jeners:v:14:y:2021:i:2:p:400-:d:479239
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    Citations

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    Cited by:

    1. Bin Ouyang & Lu Qu & Qiyang Liu & Baoye Tian & Zhichang Yuan & Peiqian Guo & Hongyi Dai & Weikun He, 2021. "Calculation and Analysis of the Interval Power Flow for Distributed Energy System Based on Affine Algorithm," Energies, MDPI, vol. 14(3), pages 1-14, January.
    2. Rima Aridi & Jalal Faraj & Samer Ali & Mostafa Gad El-Rab & Thierry Lemenand & Mahmoud Khaled, 2021. "Energy Recovery in Air Conditioning Systems: Comprehensive Review, Classifications, Critical Analysis, and Potential Recommendations," Energies, MDPI, vol. 14(18), pages 1-31, September.
    3. Ding-Horng Chen & Chun-Tang Chao & Juing-Shian Chiou, 2021. "Robust Stabilization and Observer-Based Stabilization for a Class of Singularly Perturbed Bilinear Systems," Mathematics, MDPI, vol. 9(19), pages 1-11, September.

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