Abstract

The luminous efficacy of solar irradiance under cloudless sky is evaluated by a spectral radiative transfer model. Based on model runs with input data from Bergen, Norway, the beam and diffuse luminous efficacies are parameterized for the cloudless case in terms of solar elevation and day number of the year. The luminous efficacy under an unbroken cloud cover is evaluated by a combination of the cloudless model and an overcast radiative transfer model, and then parameterized in terms of solar elevation and clearness index. Based on a physical argument, an overall model is finally presented, yielding the luminous efficacy at arbitrary cloud conditions by a tuned interpolation between the efficacies for the overcast and the cloudless case. This model yields deviations from observations that are small relative to the luminous efficacy variations caused by variations in solar elevation and cloudiness.

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