The achromatic doublet on glass (ADG) Fresnel lens makes use of two materials with differing dispersion to reduce chromatic aberration and increase attainable concentration. In this paper, a protocol for the complete characterization of the ADG Fresnel lens is presented.
We present a method to characterize achromatic Fresnel lenses for photovoltaic applications. The achromatic doublet on glass (ADG) Fresnel lens is composed of two materials, a plastic and an elastomer, whose dispersion characteristics (refractive index variation with wavelength) are different. We first designed the lens geometry and then used ray-tracing simulation, based on the Monte Carlo method, to analyze its performance from the point of view of both optical efficiency and the maximum attainable concentration. Afterwards, ADG Fresnel lens prototypes were manufactured using a simple and reliable method. It consists of a prior injection of plastic parts and a consecutive lamination, together with the elastomer and a glass substrate to fabricate the parquet of ADG Fresnel lenses. The accuracy of the manufactured lens profile is examined using an optical microscope while its optical performance is evaluated using a solar simulator for concentrator photovoltaic systems. The simulator is composed of a xenon flash lamp whose emitted light is reflected by a parabolic mirror. The collimated light has a spectral distribution and an angular aperture similar to the real Sun. We were able to assess the optical performance of the ADG Fresnel lenses by taking photographs of the irradiance spot cast by the lens using a charge-coupled device (CCD) camera and measuring the photocurrent generated by several types of multi junction (MJ) solar cells, which have been previously characterized at a solar simulator for concentrator solar cells. These measurements have demonstrated the achromatic behavior of ADG Fresnel lenses and, as a consequence, the suitability of the modelling and manufacturing methods.
Concentrator photovoltaic (CPV) is a promising technology to reduce the cost of solar-based electricity because this technology can take advantage of the rapid incremental improvement in the efficiency of advanced multi junction (MJ) solar cells. These devices are composed of several sub-cells (usually three named as top, middle, and bottom) each of which is made of a different semiconductor compound. Every sub-cell has a different bandgap resulting in a different spectral response, which enables each to convert a distinct part of the solar spectrum into electricity. In this way, MJ solar cells are capable of exploiting a wide range of the solar spectrum (typically 300 – 1800 nm) achieving efficiency values higher than 46% under concentrated light1. In order to compensate for the high cost of such photovoltaic devices, optical systems are used to concentrate the irradiance on them, which reduces the final system cost. Currently, most of the commercially available high concentration photovoltaic (HCPV) systems are based on silicone-on-glass (SoG) hybrid Fresnel lenses2. In all refractive optical systems, chromatic aberration is the factor most severely decreasing the lens performance in terms of the maximum attainable concentration3 (i.e., minimum light spot area). Making use of an achromatic lens, that is, a lens with highly reduced chromatic aberration, it is possible to significantly increase the maximum attainable concentration without a need for any additional optical elements (referred to as secondary optical elements4,5).
The design of achromatic lenses (commonly called achromatic doublets because they are fabricated coupling two materials with different dispersion characteristics) has been well known since the 18th century. The conventional achromatic doublet is composed of two different glasses: the first one is called the crown and has low dispersion, while the second one is called the flint and has high dispersion. However, the overall cost of these kinds of glasses and their processing makes them unaffordable for HCPV systems. Languy and co-authors proposed an achromatic doublet for CPV composed of two plastics: poly(methyl methacrylate) (PMMA) and polycarbonate (PC)6. In their article, a comparative analysis on the different configurations and their advantages is presented but without addressing their manufacturability and scalability at high production.
The ADG Fresnel lens proposed here has been designed in such a way that light at a certain short wavelength ("blue" light) and a certain long wavelength ("red" light) have exactly the same focal distance. Details of the design method for standard achromatic doublets can be found elsewhere7. Several ray-tracing simulations have been carried out to demonstrate the improvements obtained using an ADG Fresnel lens instead of a conventional SoG Fresnel lens. A detailed report on the obtained results was presented in4. The most important result is that when substituting a conventional SoG Fresnel lens with an ADG Fresnel lens, the attainable concentration increases about three times while maintaining the same optical efficiency. Furthermore, since the manufacturing process8 envisaged to obtain the ADG is very similar to the one employed to fabricate SoG lenses, the increase in concentration will be obtained without significantly increasing the cost.
Here we present a protocol to perform a comprehensive characterization of concentrators comprising a refractive primary lens and we apply this protocol to both a conventional SoG Fresnel lens (used as a benchmark) and several ADG Fresnel lens prototypes. To do so, a solar simulator for CPV has been used. A detailed description of the simulator and all its components, as well as its operating principles, has been presented elsewhere9.
1. Lens Modelling using Ray-Tracing Simulation
Figure 1. Screenshot of the ray-tracing simulation model. It is possible to observe the light source, the ADG Fresnel lens (comprising the glass substrate, the elastomer, and the plastic bi-Fresnel lens), and the receivers used to measure the irradiance at the lens aperture (lens receiver) and irradiance at the exit (solar cell receiver). Please click here to view a larger version of this figure.
2. Solar Cell Characterization
Figure 2. Solar simulator for concentrator solar cells. Photograph of the solar simulator used to characterize solar cells under concentrated irradiance. On the top of the figure, it is possible to observe the lamp whose position determines the concentration level. On the bottom, the measuring plane with reference component solar cells and the DUT is shown. On the left of the photograph, it is possible to appreciate the electronic equipment (power supply and DAQ) and the computer used to perform the characterization. Please click here to view a larger version of this figure.
Figure 3. Time evolution of the measured magnitudes throughout the flash decay. On the graph, it has been marked the instant when the isotype cells, corresponding to the top and middle sub-cells, measure the same irradiance level. Following the black dashed line which starts from the intersection of the curves corresponding to top and middle subcells, it is possible to identify the DUT current value (black circle) as the current measured in the precise moment in which top and middle reference sub-cells see the same irradiance level. Please click here to view a larger version of this figure.
Figure 4. (A) Scheme of the setup used to carry out experimental testing. (B) Photograph of the experimental setup and its components (light source with integrating sphere, lens sample, CCD camera, and solar cells used as light sensors). The parabolic mirror and filters are not visible in this photograph. Please click here to view a larger version of this figure.
3. Lens Characterization.
Figure 5. Graph representing the evolution of the photocurrent generated by a MJ solar cell as a function of the concentration. As expected there is a linear dependency. Please click here to view a larger version of this figure.
Figure 6. Spectral response (SR) of the CCD camera silicon sensor filtered by a cold mirror or a heat glass (empty dots) to simulate the SR of the middle and top sub-cells of a 3 J lattice-matched solar cell (solid dots). This figure has been modified from10.
The most important results obtained from previously described experimental tests are the following:
– Achromatic behavior of ADG Fresnel lens has been demonstrated using CCD camera measurements (Figure 7).
– The optical efficiency (proportional to the current measured by the MJ cell used as a light sensor) of the ADG Fresnel lens shows a large tolerance when the cell is moved from the optimum focal distance and along the focal distance axis (Figure 8).
– The size of the spot cast by the ADG lens shows a large tolerance for different temperatures (Figure 9).
The evolution of the spot diameter as a function of the lens-to-receiver distance is shown in Figure 7 for both lenses, a conventional SoG Fresnel lens and the ADG Fresnel lens. The top and middle sub-cells have been analyzed separately by means of two dichroic filters, one hot mirror filtering light with a wavelength higher than 700 nm, and one cold mirror filtering light whose wavelength is shorter than 700 nm. In Figure 7a, it can be seen that the minima of the two curves are displaced. This is due to chromatic aberration: since the refractive index for short wavelengths is higher, the focal point for blue light is closer to the lens. Then, the minimum spot for blue light is displaced to the left (toward the lens) and the minimum spot for red light is displaced to the right (towards infinity). Conversely, in Figure 7b, it can be observed that, for the ADG Fresnel lens, the position of the minimum spot for blue light corresponds exactly with the minimum spot for red light, proving the lens exhibits achromatic behavior.
The evolution of the normalized photocurrent generated by a MJ solar cell illuminated by a concentrating lens as a function of relative cell-lens distance is shown in Figure 8. The wider aspect of the curve for the ADG Fresnel lens means that, thanks to the achromatic design, it has a higher tolerance to a displacement of the lens from its optimum position along the optical axis than a conventional SoG Fresnel lens. As a consequence, ADG lenses are more tolerant to assembling errors or to any phenomenon that changes the focal distance, e.g., a temperature variation.
Finally, the variation of the light spot cast by the lens as a function of lens temperature is shown in Figure 9. The top and middle sub-cells have been analyzed separately by means of dichroic filters (hot and cold mirrors). Lenses have been put inside a thermal chamber with a transparent cover glass to control their temperature12. The graphs in Figure 9 show how the temperature variation has a lower impact on the ADG Fresnel lens than on the reference SoG Fresnel lens. In fact, for the latter, for a temperature increment of 20 °C, the expansion of the light spot size is significant: the diameter is about 30% larger for the top sub-cell and up to 60% larger for the middle sub-cell. On the contrary, for the ADG lens, even in the worst case the increase is below 20%. That means that even in outdoor operating conditions with strong thermal excursion, using the ADG lens would make the system performance more stable.
Figure 7. Measured spot diameter as a function of lens-to-receiver distance. Spot diameter is defined as that including 95% of the energy. Red dashed lines represent spot diameters for longer wavelengths (those typically converted by the middle sub-cell in MJ solar cells, i.e., 650-900 nm) and blue continuous lines represent spot diameters for shorter wavelengths (those typically covered by the top subcell, i.e., 350-650 nm). (a) SOG Fresnel lens, (b) ADG Fresnel lens. This figure has been modified from8. Please click here to view a larger version of this figure.
Figure 8. Normalized photocurrent generated by a MJ solar cell whose diameter is 3 mm as a function of the relative cell-to-lens distance. Each curve has been divided by its maximum value. The zero in the x-axis for three lenses represents the optimal focal distance (where the spot minimizes). Background curves represent the normalized photocurrents generated by the top (circular markers) and middle (triangular markers) sub-cells. ADG_v2 is an improved ADG Fresnel lens design. The normalized current produced by the MJ solar cell (the minimum value between the top and middle photocurrents) has been remarked for the sake of clarity. This figure has been modified from 13. Please click here to view a larger version of this figure.
Figure 9. Relative spot size as a function of the lens temperature. (A) Results related to the top sub-cell (measurement carried out using a dichroic hot mirror filter). (B) Results related to the middle sub-cell (measurement carried out using a dichroic cold mirror filter). The relative spot size is obtained dividing the spot size by the minimum value measured for each lens. This figure has been modified from13. Please click here to view a larger version of this figure.
The method proposed for the characterization of ADG Fresnel lenses includes two different procedures: the first one uses solar cells as light sensors, while the second is based on a CCD camera.
Applying the solar cell based procedure, the photocurrent generated by a MJ solar cell has been measured using different Fresnel lenses as concentrators. As described in the protocol, the CPV solar simulator makes use of a xenon flash lamp emitting light that is reflected on a parabolic mirror. Such a mirror generates a collimated light beam on the measuring plane (coincident with the lens aperture). Due to the mirror manufacturing tolerances and surface roughness, the collimated light is not uniform on the measuring plane. The non-uniformity of the irradiance created by the solar simulator is the main source of error in our experimental measurements10. Since large lenses integrate the irradiance at the measuring plane over a large area, the error due to non-uniformity depends on the size of the lens. The solar simulator for CPV systems used at the Solar Energy Institute attains a uniformity better than ± 5% for 3×3 cm optics9. For the ADG Fresnel lens tested here, whose optical aperture is 40×40 mm, the effect of non-uniformity over the measurement can be critical. In order to reduce this uncertainty, a reference lens is re-measured prior to conducting any experiment. Moreover, when carrying out these measurements, it is paramount to be especially careful during the alignment of the cell and the lens. In fact, the solar cell has to be placed exactly centered with the light spot cast by the lens in order to avoid misalignment, because if a bad initial positioning is used, the photocurrent reduction due to defocusing is altered. Another error that may occur is that caused by different shading factors of the front metallization grid (the MJ solar cell used as a sensor is calibrated using uniform irradiance but the lenses cast a Gaussian shape profile on it during the measurements). To ensure that the metallization is not affecting experimental results, it is useful to carry out several measurements displacing the lens and, as a consequence, the light spot on the receiver plane. If the measured photocurrent varies significantly when slightly moving the light spot, it means that the metallization grid is affecting the measurements.
There are other methods suitable to measure the optical efficiency of a primary lens, e.g., using thermal irradiance sensors such as thermopiles10. The main drawback of this approach is that the response of a thermal sensor is too slow for any flash-light source. Therefore, it can only be applied to outdoor measurements (which are very sensitive to the spectral distribution of irradiance and other weather conditions). With the proposed method, this limitation is avoided.
Additionally, using the solar cell based procedure, it would also be possible to obtain the size of the light spot cast by a lens. To do so, the photocurrents generated by several MJ solar cells of the same type and different but similar sizes need to be measured. For the cells whose size is smaller than the light spot cast by the lens, the measured photocurrent diminishes as the cell surface decreases due to the light spilling out of the cell. Conversely, the photocurrent remains constant for MJ solar cells whose size is larger than the light spot, since regardless of the cell surface, all the light transmitted by the lens reaches the solar cell. Therefore, the size of the light spot is equal to the size of the smallest cell that attains the maximum efficiency. For this method, the higher the number of solar cells used, the higher the resolution.
Since a set of solar cells suitable to carry out the described measurements is not always available, the CCD camera procedure has been proposed to measure the light spot size. Thanks to the wide dynamic range of the CCD sensor, using photographs of the light spot taken with the camera, an accurate comparison between peak and valley values is possible. In order to calculate the absolute value of the irradiance, a calibration of the whole set-up, including the filters and CCD camera, would be necessary. Nevertheless, from the photographs, it is possible to separate the illuminated area from the dark area over an image and, thus, estimate the light spot size. The main drawbacks of this technique are the spectral mismatch between the CCD sensor and a MJ solar cell and the noise produced by sources of light different from the collimated beam generated by the solar simulator. Regarding the first problem, by adding a hot or cold mirror to the CCD camera, it is possible to obtain a spectral response very similar to that of the top and middle sub-cells (see Figure 6). Additionally, in order to limit the background noise, it is necessary to completely darken the chamber of the CPV simulator. Since it is almost impossible to completely avoid external light sources, the image processing is very important and has to be well programmed. The most critical step is the elimination of background noise. Noise filtering can be partially automated but, due to the strong dependence with external factors that are scarcely predictable, every processed image undergoes a visual examination.
The CCD procedure can be used to obtain the evolution of the light spot size as a function of the lens temperature by adding to the system a thermal chamber where lenses are placed. In this case, besides the error sources previously described, uncertainty arises from the lens temperature measurements. The control thermocouple (the one directly connected to the computer) does not represent the real lens temperature because the sensor is placed in a point of the thermal chamber close but not directly connected to the lenses to be measured. Therefore, the temperature measured using such a thermocouple is an average temperature of the environment surrounding the lenses and it does not necessarily correspond to the real lens temperature. That is why connecting each lens to an independent thermocouple is recommended. Nevertheless, there is probably a temperature gradient between different points of the lens. In order to quantify this uncertainty, once the thermal chamber achieves the desired temperature, and before performing any measurement, it is better to wait 15-20 minutes to let the system temperature become as uniform as possible.
The authors have nothing to disclose.
This work has been partially supported by the Spanish Ministry of Economy and Competitiveness under the Acromalens project (ENE2013-45229-P) and it has received funding from the European Union's Horizon 2020 research and innovation program within the project CPV Match under grant agreement No 640873.
HELIOS 3030 SOLAR SIMULATOR | SAV | ||
HELIOS 3030 SOFTWARE | SAV | ||
HELIOS 3198 CPV SOLAR SIMULATOR | SAV | ||
HELIOS 3198 SOFTWARE | SAV | ||
3-AXES AUTOMATED POSITIONING PLATFORM | Zaber tech. | T-LSR75A | Catalog number corresponds to the device controlling lens movements with high precision in one axis of the xyz control. |
3-AXES AUTOMATED POSITIONING PLATFORM | Zaber tech. | T-LSM200A | Catalog number corresponds to the device controlling lens movements with high precision in one axis of the xyz control. |
3-AXES AUTOMATED POSITIONING PLATFORM | Zaber tech. | T-LSM200A | Catalog number corresponds to the device controlling lens movements with high precision in one axis of the xyz control. |
Zaber Console 1.4.7. | Zaber tech. | Software provided by Zaber tech. able to control the automatic postionig platfomr from the computer | |
Dichroic filters | Edmund optics | hot and cold mirrors | |
Neutral filters | Edmund optics | ||
Silicone on Glass Fresnel lens | Manufactured by Fraunhofer ISE. | ||
Achromatic Doublet on Glass Fresnel lens | Manufactured at the Solar Energy Institute | ||
Multi Junction solar cells | |||
Charged Coupled Device camera | Qimaging | ||
Qcapture, CCD camera controlling software | Qimaging | ||
Thermal Chamber | Designed and manufactured at the IES | ||
TC-720, thermal chamber controlling software |