Abstract: Complex-step differentiation is a recent popular method to compute a real valued function and its first derivative approximately with second order error using imaginary step size. We propose a generalization of complex-step method to compute a complex valued function and its derivatives up to order n – 1 with approximate error of order n, for any desired integer n. For this, we use a hypercomplex number system of dimension n and Taylor series expansion of the function at a hypercomplex number. Computations can be performed efficiently by using fast Fourier transform.

• Publication Date: 11-Oct-2015
• DOI: 10.15224/978-1-63248-064-4-106
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Abstract: Using LED luminaires instead of luminaires with conventional lamps may lead better energy savings and energy efficiency. In order to decide to choose more efficient road lighting system a comparison between conventional lighting luminaires and LED based luminaires should be examined. In this study, the luminaires with high pressure sodium (HPS) lamp which is the most widely used technologies in road lighting and less frequently used luminaires with metal halide (MH) lamps analyzed and compared with LED luminaires. The photometric data of the three different luminaries were investigated by using Goniophotometer and Integrating Sphere in the laboratory. After that, the obtained data applied to a sample road model in Dialux software program. Lighting designs using different types of lighting luminaires are created by taking minimum criteria of CIE standards for M2 lighting class into consideration. This study shows that 36.6% energy saving can be achieved in case of using new LED technolo

• Publication Date: 11-Oct-2015
• DOI: 10.15224/978-1-63248-064-4-107
• Views: 0
• Downloads: 0