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Application of Perez Daylight Efficacy Model for Kolkata

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Abstract

The availability of daylight on any plane of a building and the passive heat gain due to the corresponding incident solar radiation is correlated by daylight luminous efficacy. The present study was carried out to evaluate daylight efficacy on exterior horizontal plane for Kolkata using Perez Model an established analytical model and Indian measured solar radiation database. The analytical model was selected according to the sky conditions throughout the year. The estimated efficacy models were used to predict horizontal global and diffuse illuminances. The predicted global and diffuse illuminance was validated with the measured illuminance values using standard statistical tools. The estimated Root Mean Square Deviation (RMSD) and Mean Bias Deviation (MBD) between experimental and simulated values of illuminance are +7 % and ±4.5 % respectively. An analytical model of luminous efficacy for Kolkata was also developed from the measured values. From the study, it has been found that diffuse luminous efficacy varies from 114–138 lm/W whereas global luminous efficacy varies from 98–112 lm/W in a year. It is also observed that sky clearness index and diffuse irradiance ratio have significant effect on the variations of luminous efficacy in different seasons.

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Abbreviations

ε:

Sky clearness

Δ:

Sky brightness

W:

Atmospheric precipitable water content, cm

Φ:

Latitude of place, deg

δ:

Solar declination angle, deg

ω:

Hour angle, deg

z:

Solar zenith angle, deg

αs :

Solar altitude angle, deg

Kg :

Global efficacy, lm/W

Kd :

Diffuse efficacy, lm/W

Eg :

Global illuminance, klux

Ed :

Diffuse illuminance, klux

Esim,i :

Simulated illuminance, klux

Emeas,i :

Measured illuminance, klux

Emean :

Mean value of measured data set, klux

N:

Number of measured data

Ig :

Global irradiance, W/m2

Ib :

Beam irradiance, W/m2

Id :

Diffuse irradiance, W/m2

In :

Normal irradiance, W/m2

IE :

Horizontal extraterrestrial irradiance, W/m2

n:

Julian day of year

m:

Air mass

h:

Height of place above mean sea level, m

p0 :

Atmospheric pressure at sea level, bar

p:

Atmospheric pressure at a height ‘h’, bar

Td :

Hourly surface dew point temperature,  °C

ST:

Solar time, hr

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Acknowledgments

This paper is a part of Post Graduate Project Thesis of the first author. The authors are thankful to Jadavpur University, Kolkata, India for providing all required facilities to complete this work.

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Camellia Institute of Engineering and Technology, Budbud, Burdwan, West Bengal, India

    Debashis Raul

  2. Department of Electrical Engineering, North Calcutta Polytechnic, Kolkata, West Bengal, India

    Sujoy Pal

  3. Department of Electrical Engineering, Jadavpur University, Kolkata, West Bengal, India

    Biswanath Roy

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  1. Debashis Raul
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  2. Sujoy Pal
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  3. Biswanath Roy
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Correspondence to Biswanath Roy.

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Raul, D., Pal, S. & Roy, B. Application of Perez Daylight Efficacy Model for Kolkata. J. Inst. Eng. India Ser. B 96, 339–348 (2015). https://doi.org/10.1007/s40031-014-0134-8

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  • DOI: https://doi.org/10.1007/s40031-014-0134-8

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