• Acta Optica Sinica
  • Vol. 41, Issue 15, 1508001 (2021)
Maogang Wu, Yamei Yu, Ruihua Xu, Shaobing Wu, and Runsheng Tang*
Author Affiliations
  • Solar Energy Research Institute, Yunnan Normal University, Kunming, Yunan 650500, China
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    DOI: 10.3788/AOS202141.1508001 Cite this Article Set citation alerts
    Maogang Wu, Yamei Yu, Ruihua Xu, Shaobing Wu, Runsheng Tang. Application of Vector Algebra in Solar Energy Calculation of Fixed and Tracked Solar Panels[J]. Acta Optica Sinica, 2021, 41(15): 1508001 Copy Citation Text show less
    Equatorial coordinate system
    Fig. 1. Equatorial coordinate system
    Unit vectors of sun and solar panel in horizontal coordinate system
    Fig. 2. Unit vectors of sun and solar panel in horizontal coordinate system
    Schematic of shading distance before and after solar panel
    Fig. 3. Schematic of shading distance before and after solar panel
    Schematics of shading distance between non-southern faced buildings. (a) Schematic of non-southern faced buildings; (b) projection angle of sun rays on vertical plane consistent with orientation of building
    Fig. 4. Schematics of shading distance between non-southern faced buildings. (a) Schematic of non-southern faced buildings; (b) projection angle of sun rays on vertical plane consistent with orientation of building
    Schematic of αs and αp[26]
    Fig. 5. Schematic of αs and αp[26]
    Normal vector of polar axis sun-tracking solar panel in equatorial coordinate system. (a) Projection of normal of tracing solar panel on XOZ coordinate plane; (b) projection of normal of tracing solar plane on XOY coordinate plane
    Fig. 6. Normal vector of polar axis sun-tracking solar panel in equatorial coordinate system. (a) Projection of normal of tracing solar panel on XOZ coordinate plane; (b) projection of normal of tracing solar plane on XOY coordinate plane
    Normal vector of horizontal axis sun-tracking panel in horizontal coordinate system. (a) N-S horizontal axis sun-tracking panel; (b) E-W horizontal axis sun-tracking panel
    Fig. 7. Normal vector of horizontal axis sun-tracking panel in horizontal coordinate system. (a) N-S horizontal axis sun-tracking panel; (b) E-W horizontal axis sun-tracking panel
    Newly proposed coordinate system and normal vector of INSA tracked solar panels.(a)Relationship between newly proposed coordinate and equatorial coordinate systems; (b)normal vector of INSA tracked solar panels in newly proposed coordinate system
    Fig. 8. Newly proposed coordinate system and normal vector of INSA tracked solar panels.(a)Relationship between newly proposed coordinate and equatorial coordinate systems; (b)normal vector of INSA tracked solar panels in newly proposed coordinate system
    Scheme of vertical axis sun-tracking system and vector of sun-tracking panel normal in horizontal coordinate system. (a) Scheme of vertical axis sun-tracking system; (b) projection vector of o solar panel normal on horizontal plane
    Fig. 9. Scheme of vertical axis sun-tracking system and vector of sun-tracking panel normal in horizontal coordinate system. (a) Scheme of vertical axis sun-tracking system; (b) projection vector of o solar panel normal on horizontal plane
    Sun-tracking efficiency versus time for different sun-tracking techniques. (a) Equinoxes; (b) winter solstice
    Fig. 10. Sun-tracking efficiency versus time for different sun-tracking techniques. (a) Equinoxes; (b) winter solstice
    Back view of INSA-MP system in direction of INSA
    Fig. 11. Back view of INSA-MP system in direction of INSA
    Tracking efficiency versus time for different tracking systems. (a) Equinoxes; (b) solstices
    Fig. 12. Tracking efficiency versus time for different tracking systems. (a) Equinoxes; (b) solstices
    Scheme of solar tower and reflection of light. (a) Schematic of solar tower; (b) relationship among vectors i, r and n'c
    Fig. 13. Scheme of solar tower and reflection of light. (a) Schematic of solar tower; (b) relationship among vectors i, r and n'c
    Maogang Wu, Yamei Yu, Ruihua Xu, Shaobing Wu, Runsheng Tang. Application of Vector Algebra in Solar Energy Calculation of Fixed and Tracked Solar Panels[J]. Acta Optica Sinica, 2021, 41(15): 1508001
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