Mathematical Modeling and Optimization of a Parabolic Trough Concentrator for the Improvement of Collection Efficiency
Arun Kumar , S.K.Shukla
In the present scenario of a huge energy demand, dependency on fossil fuels only, certainly creates crisis in future especially for developing country. Although renewable resources of energy like solar energy is being utilized on a broad scale now a days but the problem comes in law and economy i.e. social and acceptability. Economy is the main criteria in modern era of huge energy requirement and its social acceptability. Keeping these points in view, a concentrating unit i.e. parabolic trough concentrator has been designed in such a way that it can produce optimum power. An empirical relation has been established between receiver area and aperture area and it was found that concentration ratio, CR is 81.69.Ratio of the height of the parabola to the focal length () is 1.7 and between aperture diameter, D and focal length, f is D = 5.21 f. The value of rim angle corresponding to the optimum value of concentration ratio 81.69 is 74.97°. These optimized values which have been calculated in this paper, is able to achieve the maximum collection efficiency of a parabolic trough concentrator.
 Book, A. A. M. Sayigh, Solar Energy Engineering, ISBN 0- 12- 620850-6.
 Y. Tian, C.Y. Zhao, A review of solar collectors and thermal energy storage in solar thermal applications, Applied Energy 104 (2013) 538–553.
 Jamil Al Asfar, Osama Ayadi and Ahmed Al Salaymeh, Design and Performance Assessment of a Parabolic Trough Collector, Jordan Journal of Mechanical and Industrial Engineering, Volume 8 Number 1, February. 2014 ISSN 1995-6665 Pages 1- 5.
 Bala Bhaskar, “Energy Security and Economic Development in India: a holistic approach”, the energy and resources institute (TERI) New Delhi India, first reprint 2013.
 Aniket Dwivedi, Ajay Bari and Gaurav Dwivedi, Scope and Application of Solar Thermal Energy in India-A Review, International Journal of Engineering Research and Technology. ISSN 0974-3154 Volume 6, Number 3 (2013), pp. 315-322.
 Ari Rabl, Comparison of Solar Concentrators, Solar Energy Group, Argonne National Laboratory, Argonne, IL 60439, U.S.A, Solar Energy. Vol. 18, pp. 93-II1 Pergamon Press 1976. Printed in Great Britain.
 Valentina A. Salomoni, Carmelo E. Majorana, Giuseppe M. Giannuzzi, Adio Miliozzi and Daniele Nicolini; “New Trends in Designing Parabolic trough Solar Concentrators and Heat Storage Concrete Systems in Solar Power Plants” ISBN 978-953-307-052-0, pp. 432, February 2010, INTECH, Croatia.
 Joshua FOLARANMI, “Design, Construction and Testing of a Parabolic Solar Steam Generator” Leonardo Electronic Journal of Practices and Technologies ISSN 1583-1078, Issue 14, January-June 2009.
 Ming Qu, David H. Archer, Sophie V. Masson, “A Linear Parabolic Trough Solar Collector Performance Model” ICEBO2006, Shenzhen, China Renewable Energy Resources and a Greener Future Vol.VIII-3-3.
 Scott A. Jones, Robert Pitz-Paal, Peter Schwarzboezl, Nathan Blair, Robert Cable, “Trnsys Modeling Of The Segs Vi Parabolic Trough Solar Electric Generating System”, Proceedings of Solar Forum 2001: Solar Energy: The Power to Choose April 21-25, 2001, Washington, DC.
 Matthias Günther, Michael Joemann, Simon Csambor, “Parabolic Trough Technology” , Advanced CSP Teaching Materials, enerMENA.
 Power from the Sun, Chapter 8, “Concentrator Optics”, sited on June 16, 2015 http: //www. powerfromthesun.net /Book /chapter08 /chapter08.html.
 Fareed. M. Mohamed, Auatf.S.Jassim, Yasmeen. H. Mahmood, Mohamad A.K.Ahmed, “Design and Study of Portable Solar Dish Concentrator”, International Journal of Recent Research and Review, Vol. III, September 2012 ISSN 2277 – 8322.
 Wikipedia, the free encyclopedia, “Finding arc lengths by integrating”, sited on 29 June 2015.
 D. Canavarro, J. Chaves, M. Collares-Pereira, New optical designs for large parabolic troughs, Energy Procedia 49 (2014) 1279 – 1287, SolarPACES 2013.
[Arun Kumar , S.K.Shukla (2016) Mathematical Modeling and Optimization of a Parabolic Trough Concentrator for the Improvement of Collection Efficiency IJIRCST Vol-3 Issue-5 Page No-375-380] (ISSN 2347 - 5552). www.ijircst.org
Centre for Energy Resources Development, Department of Mechanical Engineering, Indian Institute of Technology, (Banaras Hindu University), Varanasi – 221005, India