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Hot spot temperature prediction and operating parameter estimation of racks in data center using machine learning algorithms based on simulation data

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  • Advances in Modeling and Simulation Tools
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Abstract

In this paper, models to predict hot spot temperature and to estimate cooling air’s working parameters of racks in data centers were established using machine learning algorithms based on simulation data. First, simulation models of typical racks were established in computational fluid dynamics (CFD). The model was validated with field test results and results in literature, error of which was less than 3%. Then, the CFD model was used to simulate thermal environments of a typical rack considering different factors, such as servers’ power, which is from 3.3 kW to 20.1 kW, cooling air’s inlet velocity, which is from 1.0 m/s to 3.0 m/s, and cooling air’s inlet temperature, which is from 16 °C to 26 °C The highest temperature in the rack, also called hot spot temperature, was selected for each case. Next, a prediction model of hot spot temperature was built using machine learning algorithms, with servers’ power, cooling air’s inlet velocity and cooling air’s inlet temperature as inputs, and the hot spot temperatures as outputs. Finally, based on the prediction model, an operating parameters estimation model was established to recommend cooling air’s inlet temperatures and velocities, which can not only keep the hot spot temperature at the safety value, but are also energy saving.

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Abbreviations

c p :

specific heat capacity (J/kg)

d 1 :

distance between the server and the air inlet (m or cm)

d 2 :

distance between the server and the air outlet (m or cm)

F :

body forces (N)

H :

height of rack (m or cm)

h :

height of server (m or cm)

h 1 :

height between the server and the rack bottom (m or cm)

k :

turbulent kinetic energy

k T :

heat transfer coefficient (W/(m2·°C))

L :

length of rack (m or cm)

l :

length of server (m or cm)

N :

number of servers

P :

heating power of the rack (kW)

P F :

pressure (Pa)

R 2 :

coefficient of determination

T :

air temperature (°C)

T*:

hot spot indicating temperature (°C)

t :

time (s)

V :

air velocity (m/s)

W :

width of rack (m or cm)

w :

width of server (m or cm)

Y M :

contribution of fluctuating expansion

δ :

distance between servers (m or cm)

ε :

dissipation rate

μ t :

turbulent viscosity coefficient

ρ :

air density (kg/m3)

σ k, σ ε :

turbulent Prandtl numbers

τ:

viscous stress (N)

ANN:

artificial neural network

CART:

classification and regression tree

CFD:

computational fluid dynamics

EOP:

effective operating parameters of CFD simulation

EOP*:

effective operating parameters of estimation model

GPR:

Gaussian process regression

RF:

random forest

RMSE:

root-mean-square error

SVR:

support vector regression

in:

inlet

out:

outlet

top:

top point

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Acknowledgements

The authors appreciate support of the project from China Electronics Engineering Design Institute CO., LTD. (No. SDIC2021-08), and from the Beijing Natural Science Foundation (No. 4212040).

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Correspondence to Rang Tu.

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Chen, X., Tu, R., Li, M. et al. Hot spot temperature prediction and operating parameter estimation of racks in data center using machine learning algorithms based on simulation data. Build. Simul. 16, 2159–2176 (2023). https://doi.org/10.1007/s12273-023-1022-4

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  • DOI: https://doi.org/10.1007/s12273-023-1022-4

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