Category Archives: Sonar-Collecttors

Experimental outline

The experiment was conducted on the rooftop of the Main Research Building at the Building Research Institute. The building used as a subject was a 7-story RC-made building; the rooftop finish was asphalt roofing. Table 1 shows the outline of the test pieces. Two cases were assumed; one with the test section of asphalt roofing (AR, hereafter) only, and another with that of water-permeable tile (ceramic), perforated bricks (red bricks) and artificial turf (polyethylene resin). The test piece was installed directly on the rooftop slab. Based on the unit of 300x300mm, a 300mm interval was placed between individual test pieces to prevent any influence of the adjacent section.

From the three standpoints of "latent heat of evaporation,” "ventilation” and "solar reflection”, three types of passive cooling methods were applied: (a) watered AR surface

(Case 2 ~ 5), (b) ceramic tiles with and without water content (Case 6, 7) and (c) perforated bricks with and without a coat of white paint (Case 8, 9). In cases of (a), to compare the cooling effect at the time of sprinkling, we did a 0.5mm sprinkling once a day in the morning, noon or evening (8:00, 12:00 or 16:00) or three times a day (morning, noon and evening). In the preliminary test, when the amount of sprinkling exceeded 0.5mm, the AR surface overflowed. Thus, we set the one-time sprinkling amount to 0.5mm. In cases of (b), after soaking ceramic tiles for two hours, we placed them with a 30% volume water content in the test section in the evening (18:00, September 2). In cases of (c), white paint was painted on the surface. The temperature (Tn) at the upper test piece in (b) and (c) corresponds to the rooftop surface temperature when the test piece is used as a rooftop finish. However, in this study, we expressed Tn as the upper test piece temperature in order to distinguish it from Case 1~5, in which no test piece was installed. We regarded T| in Case 1 as the non­measure rooftop surface temperature. We then regarded the fact that Ti, Tii, and Тш had decreased compared to that surface temperature in other cases of different surface finishes and of similar insulation structure as the cooling effect.

The total measurement period was one week from September 1 to 7, 2003. Main measurement items were the rooftop surface temperature (Tab.1, Ti), upper test piece temperature (Tab.1, Tii), lower test piece temperature (Tab.1, Тш), outside temperature and solar radiation. The outdoor temperature was measured at the Assmann’s aspiration psychrometer (approximately 1.2m in height). For other temperature measurements, we used the Type-E thermocouple and recorded the results at 10-minute intervals. For general meteorological data such as wind direction, wind velocity and rainfall, we utilized the measured values from the nearest local weather station.

SIMULATIONS WITH RADIANCE

Radiance is a lighting simulation program developed by the Lawrence Berkeley National Laboratory [1]. It is a backwards ray-tracing program which can give calculations and a visualisation of illuminance and luminance values. The desktop version of Radiance is a plug-in module that works with computer aided design (CAD) tools.

Calculations in Radiance can be done with a clear sky and with a CIE-overcast sky.

An exposition space is modelled in Radiance. The dimensions of the exposition space are 10 x 10 x 6 m3and of the tube 2 x 2 x 6 m3(fig.5). The materials of the wall, the floor and the ceiling are chosen from the library of Radiance. Calculations are done with a CIE overcast — sky and with a clear sky. The location on earth for the calculations is adjusted to Delft in the Netherlands. Model calculations are done for December, March and June. Figure 6 shows the illuminance values for simulations with a CIE-overcast sky for the 21st of March at 14:00 h. At that moment the illuminance in the free-field situation is 10300 lux, a value which is present during 70 % of the year in the Netherlands. The camera position of figure 6 is placed in a corner of the space, so the picture shows a part of the ceiling, the floor and the four walls. A contour of 150 lux is shown on the wall, which corresponds to a daylight factor of

1.5 %. The contours shown on the floor are of 250 lux, 350 lux and 450 lux, or daylight factors 2.5 %, 3,5 % and 4.5 %. These values are well suited for an exposition space. In summer the illuminance values are most of the time so high that a sunshade will be needed. Figure 7 and 8 show model calculations with a clear sky for 21 March and 21 June. These simulations show the problems of the direct sun: At some places there are lightspots of high illuminance levels, which are in general visually uncomfortable and in any case unsuitable for an exposition space. To avoid the negative effects of direct sunlight we must protect the exposition space against it. Only in winter the direct sunlight is not strong enough to damage the art objects (fig. 9).

To protect against the direct sunlight three possible solutions are investigated: A tube with a shed roof construction (fig. 10), a tube with a light shelf underneath (fig. 11) and a tube with a special ratio of specular and diffuse reflecting materials (fig.12).

Figure 13 shows one of the simulations with a clear sky for a shed roof construction. The window in the shed roof is 2 x 2 m2 and 1 m above ground level. It is possible to exclude the direct sun, but in reallity the tube must be 2 m higher, otherwise people will walk in front of the window. In that case the illuminance levels are too low most of the year.

h

m

fig.5. Model of an underground exposition space.

Materials from Material of the

Material of the

Material of the

Material of the

the Radiance Library: ceiling: White

reflectance 85.77 % specularity 0.00 % walls: Beige Paint 2k216

reflectance 71.00 % specularity 0.00 % floor: Gray

reflectance 21.70 % specularity 0.00 % tube: Luminaire Reflector reflectance 95.00 % specularity 95.00 %

SHAPE * MERGEFORMAT

fig. 6. Model calculations with a CIE sky of the illuminance values for 21 March 14:00 h.

fig. 7. Model calculations with a clear sky of the illuminance values for 21 March 12:00 h.

250

750 650 550 450 350

fig. 8. Model calculations with a clear sky of the illuminance values for 21 June 12:00 h.

fig.9. Model calculations with a clear sky of the illuminance values for 22 December 12:00 h.

Figure 14 shows the simulation of the situation with the light shelf. The illuminance values are largely below 150 lux, only the upper parts of the walls show more than 150 lux. This situation is not suitable, the underground space is much too dark.

Figure 15 shows a simulation with a complete diffuse reflecting tube and figure 16 with a partly diffuse and a partly specular inner tube material. Different possibilities in the ratio specular/diffuse and the ratio diffuse/specular materials in the tube are varied. The best situation to avoid lightspots with high illuminance values is with a diffuse reflecting upper part in the tube and a specular reflecting lower part.

After these model calculations a design concept is developed to vary the ratio diffuse reflecting and specular reflecting material in the tube in order to adapt to the sun situation during the year and to different weather conditions.

750

SHAPE * MERGEFORMAT

fig.13. Simulaton of the shed roof construction with a clear sky for 21 June at 14:00 h.

fig. 14. Simulation of the underground space with light shelf, clear sky,21 June at 14:00 h.

50

¥

250 150

fig. 15. Simulation of the space with a tube with complete diffuse reflecting material, with a clear sky for 21 June at 14:00 h.

150

1 Lux 750

350

250 150

fig. 16. Simulation in the case the tube has 2/3 diffuse and 1/3 specular reflecting material, with a clear sky for 21 June at 14:00 h.

2. A DESIGN CHOICE

Different design choices are possible to vary the ratio diffuse reflecting and specular reflecting material in the tube. It is possible to do that, for example, by shifting or rotating mirror panels and diffuse reflecting panels in the tube, but an other solution is chosen in this paper.

fig. 17. The screens inside the tube.

fig. 18. An impression of the tube and the underground space.

The inner material of the tube is supposed to be made of highly specular material. Sunshades or other screens of diffuse reflecting materials are connected to the walls (fig.17). By lowering or lifting the screens it is possible to regulate the ratio diffuse and specular reflecting material in the tube. This concept is worked out by a graduate student. Figure 18 shows an impression of the tube and the underground space.

3. CONCLUSION

Measurements in the daylight chamber and calculations with the lighting simulation program Radiance have shown that in an underground space with one tube in the ceiling the use of daylight is an option. On the walls a daylight factor of about 1.5 % and on the

floor 4.5 % can be reached in case of a diffuse sky. Simulations with a clear sky show that most of the time protection against direct sunlight is necessary to avoid light spots of high illuminances. There are different possibilities to avoid the problems of the direct sunlight. The design concept in this paper is one solution.

Extending the Skylight-Dimensioning Method Appendix — Efficiency Analysis of Skylights

Sky conditions: C. I.E. Overcast Sky

Shed 60" Double, Transparent Glazing Efficiency

Shed 60" Simple, Transparent Glazing Efficiency

0.47

0.50

Shed 30" Simple, Transparent Glazing Efficiency | 0.60|

Monitor

A

Double, Transparent Glazing

Efficiency

0.49

Monitor

A

Simple, Transparent Glazing

Efficiency

0.56

Monitor

A

Simple, Translucent Glazing

Efficiency

0.37

jMonitor A

Monitor

A

Double, Translucent Glazing

Efficiency

0.29

Monitor B Double, Transparent Glazing

Efficiency

0.43

Monitor B Simple, Transparent Glazing

Efficiency

0.48

_____ 1

Monitor B

Shed C-90" Simple, Transparent Glazing Efficiency

Shed B-90" Double, Transparent Glazing Efficiency

Shed B-90" Simple, Transparent Glazing Efficiency

Shed B-90" Sple, Tsp. G White R. Surface Efficiency

Shed B-90" Sple, Tsp. G Black R. Surface Efficiency

0.33

0.35

0.25

0.21

Control Illuminance: 375 lx Horizontal Illuminance: 428 lx

Shed arch. Double, Transparent Glazing Efficiency

0.38

Shed arch. Simple, Transparent Glazing Efficiency

0.41

Shed arch

Extending the Skylight-Dimensioning Method Appendix — Efficiency Analysis of Skylights

Sky conditions: C. I.E. Overcast Sky

Control Illuminance: 375 lx Horizontal Illuminance: 428 lx

Pyramid

60"

Double, Transparent Glazing

Efficiency

0.70

Pyramid

60"

Simple, Transparent Glazing

Efficiency

0.74

Pyramid

60"

Simple, TranslucentGlazing

Efficiency

0.55

Pyramid

75"

Double, Transparent Glazing

Efficiency

0.73

Pyramid

75"

Simple, Transparent Glazing

Efficiency

0.77

Pyramid

45"

Double, Transparent Glazing

Efficiency

0.65

Pyramid

45"

Simple, Transparent Glazing

Efficiency

0.72

Flat

Double, Transparent Glazing

Efficiency

0.67

Flat

Simple, Transparent Glazing

Efficiency

0.70

Flat

Double, Translucent Glazing

Efficiency

0.48

Flat

Simple, Translucent Glazing

Efficiency

0.55

Shed A-90" Simple, Transparent Glazing Efficiency | 0.43|

Comparison against advanced trough and tower technology

The CLFR/cavern 2010 proposal of 54% CF at US$1784 per kWe, offers costs well below 2020 estimates for both troughs at 56% CF (2225 — 3220 $/kWe) contained in a NREL report (NREL, 2003) which use Hitec salt storage at up to 500°C. The CLFR/cavern proposals at 68% and 81% offer costs (2118 and 2486 $/kWe) much below 2018 ‘base case’ solar tower plants at 73% (3591 $/kWe) and comparable to the revised Sunlab reference case of $2340 for the year 2018. It should be mentioned that the CLFR/cavern 2010 proposal is far from optimised; Tanner (2003) suggests cavern storage at 350°C would be cheaper, and a US nuclear turbines or modern Kalina cycle turbine operating at close to 300°C would offer a 10% efficiency increase, but this would have to be compared against turbine cost.

Conclusions

The potential cost advantage gained by low temperature operation derives from an unusual combination of large low cost low temperature turbines developed for the nuclear industry, and an inexpensive storage concept which suits that particular temperature range. Should both options be applicable, then this is likely to be the most

cost-effective and simple solar thermal electricity development path, using simple solar collector technology already being installed, and a proven turbine from the nuclear industry.

Cavern storage cannot be taken higher than about 360°C and still has some developmental uncertainty ahead of it, but two reports have now identified it as potentially the lowest cost storage concept. Recent discussions that the authors have had with geologists and mining companies suggest the concept is in the realm of current mining technology and can be widely applied; suitable rock structures are common. If suitable geological structures are not available, Caloria oil storage with a CLFR array is a low risk option available for a cost which is still below the trough collector systems. Environmentally, however, cavern storage would be safer than either molten salt or oil solutions.

The electricity wholesale cost for the unoptimised CLFR/cavern in 2010 (the earliest that one can be finished is about 2009) at 68% capacity factor, without the use of any Green support mechanisms, is comparable to the cost of some current conventional pulverised coal-fired (PC) generation in the USA. The cost advantage of coal appears at high capacity factor, but even at a coal CF of 90%, the advantage is only about US$5 per MWhe.

The CLFR/cavern approach is unoptimised and may benefit from slightly higher operational temperatures should a suitable turbine be available. Such turbines may be available in the USA or Europe. The coal fired plant referenced also has a larger turbine than the solar 240 MWe. According to NREL, 2003, a 400 MWe power block should be 25% cheaper per kWh delivered than a 240 MWe equivalent, which reduces cost by about US$3 per MWhe. Furthermore, David and Herzog (2003) suggest that pulverised coal plants could incur an additional cost of US$30 per MWhe for long term cost carbon sequestration.

This brief discussion needs extensive elaboration and more detailed work within the scope of a real project structure. The authors have begun site investigations for a 240 MWe plant of the type described, assisted by Australia’s largest utility.

PROJECT DESCRIPTION

The system under consideration is designed to air-condition a group of offices on the top floor of the Energy Research Center building at the Technion — Israel Institute of Technology (Haifa, Israel). The conditioned space consists of three offices, with one north­facing exterior wall each (including a window). The total floor area of the conditioned space is 35 m2. The walls and roof are made of 8” (20 cm) prefabricated low-weight concrete, not insulated, with cement plaster. Each office serves two people and their computers; hence total occupancy is 6 persons.

The city of Haifa is an ideal site to test such a system. Located on the Mediterranean coast at 33 degrees north latitude, it has the typical climate of Mediterranean cities. Outside summer conditions (typical for design) are 30oC and 70% relative humidity. Room design conditions have been selected at 24oC and 50% relative humidity.

A load calculation for the three typically staffed and equipped offices shows about 4.2 kW with a room sensible heat factor (RSHF) of 0.92. At 30 cfm (51 m3/hr) of fresh air per occupant (ASHRAE air quality recommendations), the additional fresh air-associated load is about 3.0 kW, most of which (2.4 kW) is latent. Thus, the total cooling capacity required is 7.2 kW, with a grand sensible heat factor (GSHF) of 0.62. The total supply air circulation needed (based on 12 air changes per hour) is 0.4 kg/sec (720 cfm). The desired conditions of the supply air are 14.7oC and 86% relative humidity.

The desiccant solution is regenerated by solar heat, supplied by flat-plate solar collectors of conventional design, of the type widely employed in Israel for domestic water heating, but with better than average quality to enable higher efficiency at high temperatures. The solar collectors and remaining parts of the system are located on the roof immediately above the top floor. Solar-heated water serves as the heat carrier. The option of heating the regenerated solution directly, by exposing it to the sun and to ambient air simultaneously, had been explored but found to be somewhat problematic. The advantages of the current option are simpler construction technology, simpler storage capability, dirt control and simpler ability for using an air-to-air heat exchanger for heat recovery. With the total latent heat load of 2.75 kW, the solar energy demand was calculated to be 4.77 kW. Assuming ten hours of continuous operation daily, and taking a small safety factor, the solar collector area was selected at 20 m2. Solution storage in the amount of 120 liters of LiCl solution at 43% concentration and a 1000 liter hot water tank added to the system make it possible to operate for a total of four hours with no insolation — a typical situation in the summer during the morning hours.

Small capacity water/lithium bromide absorption chiller. for solar cooling applications

Mathias Safarik1, Lutz Richter1, Carsten Heinrich2, Mike Otto3

1Institute of Air-conditioning and Refrigeration gGmbH, Bertolt-Brecht-Allee 20,
01309 Dresden, Germany; phone/fax +49 351 4081-684/635;

Email: mathias. safarik@ilkdresden. de; www. ilkdresden. de

2University of Applied Sciences Zittau/Gorlitz, Germany

3EAWEnergieanlagenbau GmbH, Oberes Tor 106, 98631 Westenfeld, Germany
phone/fax +49 36948 84-132/152;

Email: info@eaw-energieanlagenbau. de; www. eaw-energieanlagenbau. de

Abstract

Using solar thermal collectors to provide hot water or heating is a well established technology. To reach a higher solar fraction in heating bigger collectors areas are needed. These relatively big collector areas generate excess heat in summer which cannot be used for heating at that time. Storage for the winter time is possible but costly.

Solar thermal powered absorption cooling offers a good possibility to use these ex­cess heat to provide cooling during the summer and to increase the efficiency of the whole system. Solar cooling is also a promising opportunity to cut electrical peak loads during the summer and to reduce fossil fuel consumption.

One of the constraints for a wider use of this technology in recent years was the unavailability of a suitable absorption chiller in the capacity range below 50 kW which is interesting for many applications.

A water/lithium bromide absorption chiller with a nominal capacity of 15 kW was developed. A special heat exchanger design is used to reach small differences be­tween external and internal temperatures. The chiller can be driven by hot water generated by solar thermal collectors or other heat sources. It was designed for low driving temperatures to allow the solar thermal collectors to work with a good effi­ciency. Design conditions are 90 °C hot water input, 32 °C cooling water input, 15 °C cold water output. At these conditions the chiller reaches a COP of 0,7.

Three test installations with various configurations and at different locations have been installed. Different collector types (flat plate and vacuum tube) and cooling towers (wet and dry) have been tested. To predict the performance of the whole so­lar cooling system with different peripheral equipment TRNSYS simulations were done. The effects of using different collectors, storages, cooling towers and cooling coils were evaluated. Measurement and simulation results for some applications at different locations are presented.

Introduction

There is an increasing energy demand for cooling and climatisation in many parts of the world. The reasons are rising internal loads, the dynamic economic development of re­gions in warm and hot climates, growing standards of living and comfort needs as well as current trends in architecture (higher glass ratio in facades).

At present mostly electric driven compression chillers are used to satisfy the increasing cooling demand. Rising carbon dioxide emissions is one of the consequences. Because of the distinct distribution of the cooling demand over the day with a peak at noon and early afternoon there is also a peak in electric power consumption which impacts the grid and sometimes even leads to black outs.

It will be necessary to expand the capacity of the grid and to install new power plants to satisfy this power demand. Much of this capacity needed will not be used most of the year. One of the alternatives is solar thermal cooling with absorption chillers. Solar thermal col­lectors are widely used for hot water supply and heating in many parts of Europe. One problem is the distribution of insolation and heating demand over the year. Solar thermal plants for heating assistance produce a lot of excess heat in summer which cannot be used at this time. Storage for the winter time is possible but costly.

By using this excess heat for cooling the efficiency of the whole system can be increased. There is a high degree of congruence of the cooling demand and the insolation in many applications. Therefore only little storage capacity is needed.

In the small capacity range (below 35 kW) there was no suitable absorption chiller avail­able so far.

Figure 2: First (left) and second (right) floor plans of the Modern Museum of Art. . The Kimbell Art Museum

Figure 3: Floor plan of the Kimbell Art Museum.

The Kimbell Art Museum was designed by American architect Louis I. Kahn between 1966-1972. The museum has been widely acclaimed by its innovative use of natural light and subtle articulation of space and materials. The museum consists of six bays of 104’- long concrete cycloid shells, divided crosswise into three equal sections (Figure 3). The museum is illuminated by narrow skylights that admit natural light, which is then dispersed by perforated metal reflectors onto the underside of cycloid-shaped vaults and down the walls (Reference 2).

The Kimbell Art Museum introduced the novel transparent daylight reflector, which together with the cycloid-shaped roof system introduced a totally new quality of controlled ambient lighting in museums. The success of this innovation inspired a renewed interest in the use of daylighting in art museums and influenced art museum design thereafter.

Amon Carter Museum

The Amon Carter Museum was designed by American architect Philip Johnson in 1961. Initially the museum was conceived as a small memorial structure, its collection grew rapidly and needed additional space. The museum expanded its area in 1964, 1977 and finally in 2001. The current total area of gallery is 28,400 ft2 (2,638 m2). The collection of artwork consists of 240,000 objects of mainly paintings, sculpture, photography, and works on paper.

The museum’s main entrance wall consists of an east-facing two-story curtain wall of dark tinted glass with bronze mullions, and with an arched portico in its front. The main entrance leads to a two-story exhibit hall of shell stone, brown teak and a floor of pink and grey granite (Reference 3). Beyond the main area, there are several windowless galleries. Later, a new atrium was included in the layout, which introduced natural light to the core of

Figure 4: First (left) and second (right) floor plans of the Amon Carter Museum.

the new building addition. Towards the south facade there is a gallery that receives natural light through a south-facing window. See Figure 4.

Very hot Very cold Climatic Profile cold comfort hot Methodology used in the designing of the house

All the steps of the “whole building design approach” have been applied to the design of the house including the following preliminary steps.

1.1

and

The climate microclimate

Very cold

Cold

Comfort

Hot

Very hot

5

1

4

2

0

heat 6

4

cool 2

Fig. 1 — Climatic profile of Rieti

Since Casaprota lacks its own meteorological data, meteo values were taken from Rieti, a city at 400 meters a. s.l., located 40 km north.

As the climatic profile2 (figure 1) shows, the climate is temperate, with six months falling in the cold column, four in comfort column area and only two months hot column. [14]

Figure 2 shows that the average temperature in the winter is 5°C while in the summer is about 29°C, very near to the comfort values, with peaks of 35°C.

Average, average max and average min temperatures in Casaprota, Italy

months

Fig. 2 — Temperature values of Rieti

In this case the most important problem to face was to take care of the heating because it would be needed for six months of the year.

Temperature and humidity data of the site were also applied using the bioclimatic chart developed by Guillermo Gonzalo[15], to decide the design strategies to be applied: passive solar systems, thermal inertia, natural ventilation, an in some rare cases mechanical ventilation.

Solar Passive Design

To ensure the maximum benefit from the geothermal system, as well as generally reducing

running costs, passive measures were also employed to reduce the heating and cooling

loadings where possible. These included the following-

• the use of skylights and voids to maximise natural daylight penetration into the depths of the building, reducing the level of artificial lighting required; these voids were also a structural issue, with minimal contact between the existing old slab and the new upper floor slab via small ‘bridges’ (see later). The resulting voids allowed for natural light from the roof above to therefore penetrate into the ground floor below.

• glazing to roof lights using Danpalon tinted polycarbonate sheeting to reduce heat gain and loss due to its insulative qualities;

• low-e double glazing to windows and glazed doors, especially along the long street fagade, which faces due east, to ensure minimum solar gain in summer and heat loss in winter, and still providing natural lighting;

• the large glazed face of the upper-floor Council Chambers, with the removal of large areas of single glazing and the space frame awning, has similarly been replaced with low-e double glazing, assisting with solar control as well as the additional benefits of acoustic insulation;

• zoning of conditioned areas, along with air locks provided to main entry to reduce unnecessary heat exchange from air conditioned to external air;

• door seals to high-ventilation areas and external doors, with draught control also to the latter;

• energy efficient lighting, appropriately banked to allow individual switching;

• Verasol insulating blinds to external windows to improve heat loss retention or prevention as needed, but still allowing some daylight penetration;

Ray tracing and penetrability of solar photons

To assess the penetrability of light within channels of monolithic structures a ray tracing software has been used. The software has been created under Matlab® environment, using the Solar Concentrating Toolbox SCT developed by CIEMAT [7].

To take into account the sun shape and the beam quality of the concentrating system we have convolved the sun shape according to Abetti [8] with a Gaussian function representing the total optical error of the system. For the purpose of this analysis a total error of 3.2 mrad has been assumed in all the cases. The economy of computation time has been obtained via a hybridization of ray tracing techniques and the well known classical cone optics methodology. The reflected cone for each and every convolved ray has been generated randomly according to the Probability Density Function. The distribution of the reflected rays is a function of the reflected cone but also of the reflecting point at the concentrator surface. To accurately quantify both effects on the distribution we have created as many reflecting points on the reflector as rays representing the reflected cone. Then the total number of rays pointing to the target will be the number of reflecting points X number of rays per reflected cone, and therefore both effects would be represented adequately.

To predict the penetrability as a function of the view angle the study has been focused on parabolic dishes with different rim angles from 20° to 60°. Besides the influence of the view angle, the impact of the reflectivity and the specularity on penetrability has been a matter of this study as well. We have developed a specular reflectance model and a diffuse reflectance model to calculate the maximum and minimum penetrability achievable1.

Pitch length of individual ducts is also one of the key factors to be taken into account while designing. The study of the influence of the pitch length in penetrability is also essential. With SCT software it is possible to calculate the flux distribution by channels, it is possible to discern between close channels and also between walls inside a single channel. Although we have found differences in flux distribution between walls in the same channel and between channels according with the channel position from the center of the focal point, that results are not presented here because the aim of this analysis is finding general information about several design parameters and their influence on penetrability. Because of that, the results presented are mean values from the channels studied, placing their aperture at the focal plane. In total, as many as 250 cases (125 diffuse model and

The diffuse cases have been calculated from the case Reflectivity =0, applying shape factors.

125 specular model) were characterized by combination of five reflectivity values, from 0.1 to 0.9 each 0.2, five rim angles from 20° to 60°, and five pitch lengths from 1 to 5 mm. The results shown in this paper are those with view angles closer to typical designs in solar tower projects with heliostats fields.