4. Conclusions
In this work, an STSC is designed to be coupled to a 3 kWe Stirling
engine in a fixed position by introducing a new mathematical
model that includes geometric, optical and thermal aspects. The
model and methodology can be extrapolated to other applications
by adjusting the design parameters and operation conditions.
The results allow for the determination of the focal length,
which demonstrates that the largest concentration using the STSC
with a rim angle of 45 is similar to the concentration achieved
with a parabolic dish, but the receptor improves the efficiency by
7% compared with parabolic dishes that operate with a lower error
of concentration. This result is due mainly to the case study that
presents a receiver incline that favours the reduction convective
heat loss. However, the relationship (f/d) results in a greater focal
length for the STSC than the focal length of a parabolic dish. Consequently,
the STSC is appropriate for regions that allow a reduction
of heat losses and thermal energy requirements because the
absorber area and focal length is adjusted to the focal image.
Finally, the new geometricmodel for estimating the intercept factor
is versatile because it can be applied to both parabolic dish concentrators
and STSCs by adjusting the correct limits of integration.
Acknowledgments
The authors extend their gratitude to CONAVI for their support
with the Project CONAVI-2009-01-127156 and to CONACYT and
ITESCA.
4. ConclusionsIn this work, an STSC is designed to be coupled to a 3 kWe Stirlingengine in a fixed position by introducing a new mathematicalmodel that includes geometric, optical and thermal aspects. Themodel and methodology can be extrapolated to other applicationsby adjusting the design parameters and operation conditions.The results allow for the determination of the focal length,which demonstrates that the largest concentration using the STSCwith a rim angle of 45 is similar to the concentration achievedwith a parabolic dish, but the receptor improves the efficiency by7% compared with parabolic dishes that operate with a lower errorof concentration. This result is due mainly to the case study thatpresents a receiver incline that favours the reduction convectiveheat loss. However, the relationship (f/d) results in a greater focallength for the STSC than the focal length of a parabolic dish. Consequently,the STSC is appropriate for regions that allow a reductionof heat losses and thermal energy requirements because theabsorber area and focal length is adjusted to the focal image.Finally, the new geometricmodel for estimating the intercept factoris versatile because it can be applied to both parabolic dish concentratorsand STSCs by adjusting the correct limits of integration.AcknowledgmentsThe authors extend their gratitude to CONAVI for their supportwith the Project CONAVI-2009-01-127156 and to CONACYT andITESCA.
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