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Research Papers

A Passivity-Based Power-Shaping Control of Building HVAC Systems

[+] Author and Article Information
V. Chinde

Mechanical Engineering,
Iowa State University,
2025 Black Engineering,
Ames, IA 50011
e-mail: vchinde@iastate.edu

K. C. Kosaraju

Electrical Engineering,
IIT Madras,
Chennai 600036, India
e-mail: kkrishnachaitanya89@gmail.com

A. Kelkar

Professor
Fellow ASME
Mechanical Engineering,
Iowa State University,
2025 Black Engineering,
Ames, IA 50011
e-mail: akelkar@iastate.edu

R. Pasumarthy

Electrical Engineering,
IIT Madras,
Chennai 600036, India
e-mail: ramkrishna@ee.iitm.ac.in

S. Sarkar

Mem. ASME
Mechanical Engineering,
Iowa State University,
2025 Black Engineering,
Ames, IA 50011
e-mail: soumiks@iastate.edu

N. M. Singh

Professor
Electrical Engineering,
VJTI,
Mumbai 400031, India
e-mail: nmsingh59@gmail.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 12, 2016; final manuscript received May 16, 2017; published online July 28, 2017. Assoc. Editor: Yang Shi.

J. Dyn. Sys., Meas., Control 139(11), 111007 (Jul 28, 2017) (10 pages) Paper No: DS-16-1393; doi: 10.1115/1.4036885 History: Received August 12, 2016; Revised May 16, 2017

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.

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References

Figures

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Fig. 1

Schematic of the simulated building model

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Fig. 2

RC network schematic for the testbed

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Fig. 3

Trajectories of outside air temperature and zone temperature, mass flow rate for constant setpoint: (a) outside air temperature, (b) zone temperature, and (c) control input

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Fig. 6

Total internal load (simulation)

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Fig. 7

Solar global horizontal irradiance

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Fig. 8

Fraction of total occupancy

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Fig. 9

Total internal load

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Fig. 10

Zone temperature profile

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Fig. 11

Control input profile

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Fig. 12

Heat exchanger model

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Fig. 13

Closed-loop trajectory

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