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Research Article

Online fuzzy control of HVAC systems considering demand response and users’ comfort

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Pages 403-422 | Published online: 29 Sep 2020
 

ABSTRACT

Heating, ventilation and air conditioning (HVAC) systems play an essential role in demand response (DR) programs. In this paper, a fuzzy controller is designed to adjust the HVAC set-points optimally. The aims of the designed controller are multifold: to save energy, to improve user’s comfort, and reduce HVAC electricity costs. In the current research, indices such as daily energy cost, minimum and maximum home temperature, energy usage, energy usage during peak hours, and user’s comfort are proposed and discussed for the evaluation of HVAC function. In addition, the effect of different pricing schemes such as fixed pricing (FP), time-of-use pricing (TOU), and real-time pricing (RTP), are analyzed. Further, the adaptability of the proposed model enabled us to investigate users with different attitudes toward welfare and cost. Finally, the effects of set-point and dead-band width are discussed. The results show that the proposed controller reaches the pre-determined aims successfully.

Abbreviations: HVAC: Heating, ventilation, and air conditioning; FP: Fixed Pricing; TOU: Time Of Use; RTP: Real Time Pricing; PR: The HVAC system energy consumption cost in a day; UC: The total time that the user experiences an uncomfortable situation in a day; T_min: The minimum RealFeel Temperature experienced in a day by the user; T_max: The maximum RealFeel Temperature experienced in a day by the user; ECP: Energy consumed by the HVAC system during peak hours; EC: Energy consumed by the HVAC system during a day

Nomenclature

θ(k)=

load internal temperature at the kth time step

θa=

Ambient temperature

Ε=

White noise

C=

Thermal load capacity

R=

Thermal resistor

H=

Simulation step time

θg=

Thermal gain

Ptrans=

mechanical power transferred to the environment

COP=

Thermal transaction cofactor

RUi=

Fuzzy rule number i

Tout fuzzy=

Controller output Temperature

Tambient=

Ambient Temperature

Tdesired=

User’s desired Temperature

Δ=

Dead-band width

Σ=

Standard deviation of price at Tmin and Tmax

Paverage=

Average price in 24-hour window

A=

Fuzzy variables

B=

Fuzzy variables

N=

Number of fuzzy rules

C*=

output crisp value

Ci=

Fuzzy Sets

wi=

Firing strength

μinput1i=

input1 membership grade

μinput2i=

Input 2 membership grade

μinput3i=

Input 2 membership grade

xi=

Fuzzy inputs

Tadjusted=

Mathematical Controller output temperature

Tmin=

Minimum allowed temperature in the mathematical controller

Tmax=

Maximum allowed temperature in the mathematical controller

Khigh=

Standard deviations between Tdesired and Tmax

Klow=

Standard deviations between Tdesired and Tmin

Pcleared=

Cleared market price

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