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This paper presents a novel method for maximum utilisation of solar energy on solar collectors by optimising tilt angle ( β ). The optimisation has been done in two steps, in first, the partial differential equation of total radiation on tilted surface ( HT ) is differentiated with respect to  β  and in second, Taylor’s series expansion method is applied to find the optimised tilt angle ( βTaylor ). The results so obtained are applied to different locations of India and it is found that on anisotropic atmospheric conditions the total monthly radiation falling on collector surface β Taylor  is increased significantly at each location. The maximum gain of 3.19% during winters, 2.46% during spring, no change during summers and 3.14% during autumn is observed in Kolkata. Only 1.42% radiation losses on seasonal and 8.14% radiation loss on annual basis as compared to radiation on monthly basis at New Delhi station are observed.

Tilt angle optimisation by Taylor’s series expansion for maximum solar radiation in humid subtropical regions of India