Title: Enhanced Efficiency Solar Energy Concentrator – Final Report Date: February 9, 2016 Authors: Vasisht, Abhinov --abhinov@uvic.ca Keating, Erin --ekeating@uvic.ca Laver, Cliff – lavercliff@hotmail.com Hoffman, Roderick --rhoffman@uvic.ca Rahimi, Shayan -- shayanr@gmail.com Supervisor: Dr. Reuven Gordon 1 Table of Contents Enhanced Efficiency Solar Energy Concentrator – Final Report ................................................................... 1 Table of Contents ...................................................................................................................................... 2 Summary ....................................................................................................................................................... 3 Introduction .................................................................................................................................................. 4 Overview ....................................................................................................................................................... 5 Solar Concentrator ................................................................................................................................ 5 Sun Tracking System ............................................................................................................................. 6 Problems ............................................................................................................................................... 6 Objective ....................................................................................................................................................... 7 Design Parameters ................................................................................................................................ 7 DESIGN .......................................................................................................................................................... 8 Filter ...................................................................................................................................................... 8 Concentrator ......................................................................................................................................... 9 Energy Storage .................................................................................................................................... 14 Tracking ............................................................................................................................................... 15 Results ......................................................................................................................................................... 20 Analysis ....................................................................................................................................................... 22 Cost Analysis ....................................................................................................................................... 22 Theoretical .......................................................................................................................................... 23 Actual .................................................................................................................................................. 23 Conclusion ................................................................................................................................................... 24 Additional Remarks ............................................................................................................................. 24 References .................................................................................................................................................. 25 Appendix A .................................................................................................................................................. 26 2 Summary The objective of this project is to increase efficiency and generate high output power of a silicon-based solar energy system with minimal extra costs. Thus, an infrared filter along with a solar concentrator and a solar tracker are the major design components of the project. The purpose of a solar concentrator is to focus a larger area of sunlight directly onto solar cells, thereby increasing the amount of available light. The concentration of light therefore increases the output power from the photovoltaic effect of the solar array. This is a cost-efficient way to increase the amount of available light for a solar array. The purpose of a solar tracker is to follow the sun throughout the day to get the maximum available sunlight. The overview section of this report explains solar trackers in detail. The concentrator increases the temperature of the solar cells over time until the temperature goes beyond operating temperature, thus reducing the efficiency of the solar array. In the operating temperature range, there is a peak power output point which corresponds to a specific temperature of the solar cells. For this project, the solar array power output is maximal at a temperature of 35 degrees Celsius. As the temperature of the solar cells continues to increase, the solar array output power decreases. Therefore, the system requires a technique to keep the solar cells at the temperature which maximizes output power. A color camera film filter is used to block out unwanted wavelengths which lead to temperature increases of the solar array. The filter keeps the solar array at a constant temperature to maintain a maximum output power level. The film filter is successful in limiting the temperature of the solar cells in the operating temperature range, allowing the solar array to operate close to the optimal temperature. However, the film also blocks a portion of useable wavelengths for the solar cells, thus reducing the overall output power of the system. The cost analysis section of this report does not support any evidence that a solar concentrator and optical filter system is economically feasible. Although the price of the filter is significantly lower than the cost of the solar array, the total cost of the system is actually quite expensive and only increases the payback time for the entire system. 3 Introduction Today’s energy consumption heavily relies on the burning of fossil fuels which create CO2 emissions, a problematic greenhouse gas. The need to develop clean energy is a hot topic for geologists, engineers, economists and politicians to resolve. Renewable energy sources offer possibilities to resolve issues concerning the environment and the growing energy demand. Solar energy is one example of a renewable energy source by which solar cells convert sunlight into electricity via a photovoltaic effect that occurs within the solar cell structure. There are pros and cons for all renewable energy systems including solar energy systems. A much debated topic of solar systems is cost effectiveness. Conventional systems are popular because of the cheapness, availability and overall energy output suppliers are able to harness and deliver to consumers. If it would be possible to harness the same amount of energy as a conventional system using solar arrays while remaining at a similar cost, then there would be no debate. Extra expenses are always an issue when adapting new systems due to the need to create new infrastructure and new manufacturing costs. However, the market for creating high-grade silicon is decreasing, suggesting that the cost of solar energy systems that use silicon based photovoltaic cells should follow. Marketers foresee that within 7 to 10 years it is possible that the cost of generating solar energy could be at par with conventional systems in locations with high solar insolation and high utility costs. Currently, consumers in most locations rely on government subsidies to keep solar systems economical. Another major issue which makes solar energy systems less attractive than conventional systems is that the power generated by solar systems simply will not supply total energy demand. It is estimated by McKinsey and Company that “(solar energy) represents only 1.5 to 3 percent of global electricity output” whereas fossil fuels amount to over 30 percent. Thus, there is a need to develop technology to reduce carbon emissions as well as a need to develop more efficient products that will result in higher yield of energy generation. The need to increase efficiency of silicon based solar energy systems has led to the development of this project. The idea originates from the project supervisor Dr. Reuven Gordon, an expert in photonics. This group is given the task of investigating a cheap technique that could help boost the efficiency of a silicon solar array, given that a solar array is placed in front of a solar concentrator. Before describing the details of the project objectives, a brief technical overview of how solar concentration works is explained in the next section of this report. 4 Overview Solar Concentrator The solar concentrator is a configuration that uses lenses or mirrors to focus a larger area of sunlight to a smaller area where a solar array is mounted. The purpose of using a solar concentrator is to reduce cost by substituting a larger area of cheaper material (like a mirror) for the more expensive material (i.e. silicon solar array). The solar array can then be greatly reduced in area and produce an equivalent amount of energy as a large stand-alone solar array. Diagram 1.1.1 below outlines a typical construction: Diagram 1.1.1: A typical solar concentrator configuration. Diagram 1.1.1 shows light being reflected from a concave parabolic mirror which focuses on another mirror which then reflects the light through an aperture of the main mirror. This type of configuration is called the Cassegrain mirror configuration and is commonly found in telescopes used for astronomy. The light that passes through the aperture is passed through a prism which separates the wavelengths of light on to different paths. This is called beam splitting. After the light has been separated, each wavelength will enter a different material which will be absorbed for various applications. Generally, silicon solar arrays absorb infrared (IR) wavelengths. 5 Sun Tracking System Another important design feature of a solar concentrator is the ability to track the sun. Diagram 1.2.1 below demonstrates the principal of solar tracking which aids explaining the importance of this feature: Diagram 1.2.1: Sunlight entering the atmosphere at different angles. Diagram 1.2.1 shows how sunlight enters the atmosphere at different angles from the ground’s surface. If sunlight shines directly perpendicular (90 degrees) onto a surface, the energy at the surface will be more intense than if sunlight shines from an acute angle. A solar concentrator that tracks sunlight will ensure that the surface of the reflective mirror is always perpendicular to the sunlight, which leads to more power generation and hence, more produced energy. We can prove this by using some very simple algebra and keeping in mind the angles of incidence shown in Diagram 1.2. If the intensity of sunlight irradiance is labelled Em (Watts per meter squared) then the power received at the surface is Em where θ is the angle between the surface and the sun. It can be shown that the maximum power received occurs when θ is 90 degrees. Problems As one might expect, the focused light from a concentrator can rapidly heat a surface. This is analogous to using a magnified glass to burn holes in paper. If a solar array is placed at the focal point of a concentrator, then the temperature of the solar cells will rise above normal operating temperature and the efficiency of the solar energy productivity will drop. Because of this, a device is required that will allow productive light to strike the solar array, but will prevent other wavelengths from heating up the array. In summary, the use of a solar concentrator reduces the cost of expensive materials, while the use of a tracking system optimizes the amount of energy production as the Sun moves over the surface of the Earth. An optical filtering device is necessary to prevent overheating of the solar array. 6 Objective The primary objective of this project is to design, implement and analyze a filter that will prevent the temperature of the solar array from rising above operating temperatures and generate stable energy from the solar arrays. The analysis section includes maximum temperatures reached, power output from the solar array, cost effectiveness and implementation problems. Other objectives include designing a cost-efficient concentrator and tracking mechanism. An additional project feature includes a system of storing energy from the solar array and using the system to provide energy to an electrical load. Design Parameters Silicon has a band gap of 1.1-1.3eV which corresponds to a material that produces electricity when exposed to light with about 950nm to 1200nm. Shorter wavelengths will penetrate the silicon and increase the temperature of the system. As can be seen from diagram 2.1.1 below, sunlight radiates at a large range of wavelengths with various intensities. Diagram 2.1.1: Solar irradiance versus wavelength It is clear that infrared (IR) light from the sun must pass through a filter but shorter wavelengths should not pass the filter in order to prevent heating of the solar array. Therefore, this project requires a filter to block visible light which will in turn prevent overheating of the silicon solar array. 7 DESIGN Filter A simple way to create an IR filter is to use color camera film. The photograph shown below in diagram 3.1.1 was taken using a digital camera and an IR lens. Diagram 3.1.1: Infrared photograph of a tree. Clearly, this looks like no ordinary tree. IR filters used in photography generally pass 700nm to 900nm wavelengths. This range of wavelength is the near-infrared spectrum. Using this principal and applying it to the project objective, a cheap IR filter is made using camera film. For about $10 CAD a roll, a cheap filter is made by exposing and developing color film, and then simply tailoring the film to align in front of a solar array. The developed film will allow infrared light to pass but will block shorter wavelengths. The concept for this filter takes use of the fact that negatives block light wavelengths that are represented on prints. Therefore, if the color camera film is exposed to white light, the developed negatives will mostly block white light from the concentrator and allow IR to pass through to the solar array. Hence, the filter prevents temperature increases and maintains energy production. 8 Concentrator The concentrator can be easily assembled with some equipment commonly found around the house or easily purchased at any local hardware store. Although there are many configurations of a solar concentrator, this group chose a simple strategy. The materials used are: a satellite dish, reflective aluminum tape, balsa wood, steel supports, and a lazy-susan base structure. Diagram 3.2.1 provides a visual for the design of the concentrator. Diagram 3.2.1: Solar concentrator base construction. The main reflector of the satellite dish is used to provide the shape of the parabolic reflector. By simply applying aluminum foil tape, the surface reflects light with a reflectivity of about 85%. The convenience of using the satellite dish is that it offers a mechanical structure to work with. The arm provides a perfect placement for the solar array where sunlight is focused after being reflected from the parabolic dish. The base of the satellite dish also mounts easily to the wood frame turn table. 9 Some additions were made to the satellite dish structure. Diagram 2.2.2 and 2.2.3 show the importance of these additions. Diagram 3.2.2: Arm fixture support for solar array. The support shown in the diagram above was made using a length of ½ inch steel bar, some balsa wood and a few bolts, screws and nuts. It is an important feature for this project to allow the solar array and filter to be moved away from the focal point and closer to the reflecting dish in order to prevent the filter from melting when sunlight is being reflected on to the solar array. This support can be adjusted towards or away from the parabolic reflector by simply moving the steel bar along the long metal bolt until a desired position is found, and then fixing it in place. The balsa wood holds in its frame the solar array, which is covered by the camera film filter. 10 Diagram 3.2.3: Back side arm lever. The addition of a steel bar lever allows the tracker’s circuit to control the satellite dish’s reflective surface so that it points in various vertical directions. A 12 volt DC motor feeds a line of string to the end of the arm lever seen taped down with black duct tape. Pulling the lever down moves the reflective surface upward to face the sky, whereas loosening the string allows the front reflective surface to drop down and face the horizon. It should be noted that the concentrator is at rest when the reflective surface faces the horizon. It requires work from the motor to hold the satellite dish so that the reflective surface is facing upwards. 11 Diagrams 3.2.4 and 3.2.5 illustrate how the solar array is placed in a support structure. The camera film filter can easily move away from or over the solar array. The reason for moving the camera film away from the solar array is purely for analytical reasons when measuring the difference between the power outputs of the solar array with a filter and without. Diagram 3.2.4: Solar array placement with lens flipped down. The wood frame is bolted to a steel bar which has a drilled hole at the back allowing the steel to mount on the front of the satellite dish. The wood frame has a gap which allows the solar array to slide into place on the frame and also allows wind to pass behind the array for cooling purposes. Two small hinges at the base of the wood frame are used to hold the filter in place and allow a flipping movement for the filter to cover the solar array or move out of the way of incoming light. Electrical leads protrude from either side of the solar array which are inputs to an energy storage circuit. 12 Diagram 3.2.5: Solar array structure mounted before the parabolic reflector. The picture shows how the whole wood and metal frame are mounted in front of the parabolic reflector. Notice the angle at which the solar array faces. As mentioned earlier in this report, the satellite dish offers the convenience of an existing structure for mounting the solar array in place. The solar array faces at an angle where most of the light is reflected nearly perpendicular to the surface of the filter and array. This optimizes the amount of energy harnessed from the incident light from the reflector. The steel bar is adjustable along a steel bolt. The adjustments are made to strategically find a position where focused light will illuminate the solar array but will also have a broad enough circumference so that the filter will not melt. The optimal point is where the filter placed 15cm in front of the focal point. 13 Energy Storage All energy systems require the use or storage of the energy produced. The circuit schematic shown in diagram 3.3.1 will aid the reader with the following explanation of how the solar cells generate energy and store charge in a 1500 Farad ultracapacitor. Note that this circuit is a practical storage unit for solar energy systems the ultracapacitors charge efficiently. Also ultracapacitors have practical use in the automotive industry as they discharge quickly to accelerate hybrid vehicles. Therefore this section of the project demonstrates how a solar array station for hybrid vehicles that make frequent stops, such as electric buses, could use this technology to charge up the vehicles ultracapacitors which allow acceleration of the vehicle after leaving the stop. Diagram 3.3.1: Circuit schematic for the charging of a 1500F ultracapacitor. This solar light circuit has two parts. The first is a charge controller section which keeps the solar panel from overcharging the ultracapacitor. Basically, it consists of a PNP power transistor which draws current from the solar panels whenever the ultracapacitor voltage is over about 2.6 volts. The 4040 precision Zener will conduct current if the voltage across it (Vz) exceeds 2.5 volts. It is in series with a Schottky diode type 1N5819. The Schottky diode has a forward conduction (Vf) of about .1 volts. So if the voltage across the two diodes is 2.6 volts or more, they will conduct. They are in series with the base of the TIP30 PNP power transistor. If current flows out of its base, more current will flow from its emitter to its collector. It takes about .6 volts (Vbe) from its emitter to base for current to flow out of the base. So if the voltage from the emitter to ground (Vbe+Vf +Vz) is over 3.2 volts, current will flow out of the TIP30 base, and it will be turned on. When that happens, enough current from the solar panels will flow through the TIP30 to reduce the panel output voltage to 3.2 volts. 14 There is a 1N4004 silicon diode in series with the output of the panel where it goes to the ultracapacitor. Since the forward voltage of a silicon diode is about .6 volts, the output of the panels after the 1N4004 will be limited to 3.2V-.6V=2.6V. The ultracapacitor is rated at 2.7V, so the voltage on it will never exceed its rating. The second part of the circuit consists of a white LED with integrated voltage boost circuit and a photo switch circuit to turn on the LED when in the dark. The boost circuit allows the LED to operate at any voltage between about .8V and 3.5V. The switch circuit consists of a 2N5818 NPN transistor in series with the LED. The base of the 2N5818 is connected to the + terminal of the ultracapacitor through a 7.5K resistor. It is also connected to the terminal through a photocell light sensor. When the photocell is exposed to light, its resistance decreases. So in the light, the base of the 2N5818 is pulled to -, and the transistor is off. When the photocell is in darkness, its resistance increases, and the 7.5K resistor pulls the base to + and turns on the transistor, thus turning on the light. Tracking One way to locate a light source is to use two optical sensors placed a small distance apart. One optical sensor is used to track horizontal movements of light and another sensor tracks vertical movements. A simple optical sensor can be made using an LED pair along with some standard electronic components. The LEDs generate various currents dependent on the amount of light emitted onto it. In our design, the LED pairs are placed a small distance apart on the same axis. The tracking circuit amplifies the difference in current between each LED. The output of the amplifier goes to the input of 2 relay circuits. The output of the relay circuits connects to a 12 volt DC motor which mechanically adjust the position of the solar concentrator. When the two LEDs produce equal current, the amplifier does not have a differential output and therefore the relay circuits do not have output. The motor will not move and the dish is correctly facing the sun. Diagrams 3.4.1, 3.4.2, 3.4.3, 3.4.4 depict the sensors circuits, horizontal DC motor, vertical DC motor and circuit supply respectively. 15 Diagram 3.4.1: Optical sensor circuits for horizontal and vertical positioning. Some play of mounting the sensors was done in order to find an appropriate position so that the sensors hold the solar concentrator position steady when most of the reflected light strikes the solar array. As can be seen some double sided tape is added below the sensors to give lift of the vertical axis sensors. Also notice that black electrical tape is added to prevent any loose contacts from shorting on the back side of the circuit boards. The grey wires seen in this photo are the supply voltage (12V) to the sensors and the brown wires relay to the DC motors. Each LED acts as a current source to the base junction of a Darlington pair current amplifier. The output of the amplifier is one input to differential amplifier stage which differentiates between each LED current. When one LED produces more current than another, the DC motor repositions the solar concentrator in the direction so that the less producing current LED moves closer to the other LED position. See Appendix A for the full tracker schematic. 16 Diagram 3.4.2: Vertical positioning DC motor. This design is simple in that it requires common household items, is easy to assemble and is a strong and durable mechanical implementation of controlling the vertical positioning of the solar concentrator. A spool of thread is fitted over a cylindrical shaft. A line of rope is threaded through the side of the spool and the spool is held by the motor. When the motor turns the spool, the rope feeds or pulls on the back of the antenna structure as was demonstrated in diagram 3.2.3. When the motor pulls in the line of rope, the antenna is moved back so that the face of the parabolic reflector is pointing to the sky. When the motor feeds the rope, the weight of the antenna allows the reflector to face the horizon. Notice in the left side of diagram 3.4.2 there are 2 black switch diodes. These diodes are used for position error checking. In the case that an interfering light source causes the optical sensors circuit to move the motor in a certain direction that is beyond mechanical limitations (i.e. the motor pulls the rope until it snaps as the concentrator can no longer move further back) the diodes are strategically placed to trip the connection and stop motor movement. 17 Diagram 3.4.3: Horizontal positioning DC motor. The horizontal movement is also a simple mechanical implementation. The circular wooden lazy Susan easily rotates about the center. With the addition of the motor holding a fringed wheel and soft gripping tape added to the edge of the lazy Susan, a low slip contact is made between the motor and the rotating frame. Since the tracking in the horizontal position will only follow the sun for a 180 degree movement, 2 more switched diodes (not shown here) are added to the lazy Susan at quarter circle positions relative to the front of the rotating board. These switches will ensure that movement does not follow ambiguous light in the horizontal direction when the sun is down. 18 Diagram 3.4.4: 12 Volt supply to optical sensor circuits. Not much explanation is needed here but it will be mentioned now that the motors typically draw 90mA of current at 12 volts when repositioning the solar concentrator. 19 Results Diagram 4.1.1: Temperature effects on the solar array without a filter. The three figures above show temperature effects on the solar array performance as light is concentrated without the use of a filter. The power output increases as temperature increases until a maximum power output at approximately 35 ⁰C is reached. As the temperature increases further, the output power decreases sharply. After roughly five minutes the solar array reaches 65 ⁰C. 20 Diagram 4.1.2: Temperature effects on solar array with a filter. The results shown above are encouraging as the filter limits the temperature of solar cells allowing it to operate closer to the maximum temperature output range of approximately 35 ⁰C. The problem with this specific filter is that the film appears to blocks a portion of the useable light as the overall power of the system is only .18 Watts but without the filter the output power is 0.4 Watts. The use of the filter more than halves the output power. As a portion of the useable light is blocked, less power is produced from the cell. This clearly is not a desired scenario. An alternative filter, such as glass specifically designed to block out only the visible light, may prove to be a more viable option. The glass filter may also allow more power generation with the use of other photovoltaic cells to harness other wavelengths. However, the cost of glass filter is significantly greater than the film filter and therefore this may not be a cost effective solution. The use of the filter during a five minutes period resulted in the solar array temperature reaching only 27 ⁰C. 21 Analysis The solar array must operate with maximum efficiency. In general, the results show that when the temperature of the solar array rises, the efficiency of the system reduces. To maximize the efficiency of the system, operating temperature must be 35 ⁰C. AT 35 ⁰C, the cell operates at a stable high efficiency and as the temperature rises above 35⁰C, the power output starts to drop sharply. The solar array configuration without the use of a filter shows that with light concentrating over a five minute time frame the temperature of the cells increase to 65⁰C. At this temperature the power output is very low. The solar array configuration with the use of a filter limits the solar array temperature to 30⁰C over any length of time. Using a camera film filter works in reducing the cell temperature to about 30⁰C over a long period; however the film filter also blocked some of the useful wavelengths required by the solar cell to produce power. Therefore the total power produced by the system using a filter is less than a system without a filter, however over the course of an entire day, the energy produced by a system with the use of a filter will not only be greater but will also be stable. Thus a filter that limits the surface temperature as well as blocks unwanted wavelengths will significantly improve the efficiency of the overall system. Cost Analysis This section determines the total production cost of one unit and determines the time of payback for a system putting electricity back on the grid. Materials Item Aluminum Foil Tape Rope Screws, steel bolt, steel bar, washers Satellite Dish More nuts, bolts Color Camera Film (developed for free) Poster Board Relay Circuit Miscellaneous Cost Motors and sensors Ultracapacitor and Solar Circuit Lazy Susan Electrical Tape Speaker Wires Soldering Wire Price ($ CAD) 7.49 1.2 27.56 33.59 6.6 9.06 15.67 2.78 33.51 101.5 82 15 1.5 2.5 8 22 The total cost of materials for one unit is therefore: $ 347.96 With the information above, an estimate is established for a typical large scale system. This analysis is for a typical cost for 1 unit. With the assumption that the parabolic antenna is approximately rectangular in area we get an approximate area of Area of antenna = 0.9*0.6m2 = 0.54m2. Payback Period This section of the analysis deals with losses of energy, production of energy and prices of energy sellable back to the grid. Theoretical Typical direct sunlight carries approximately 1000W/m2/hour of light energy. Of this approximately 1/10 of the energy can be harnessed by PV cells. With the area of the parabolic antenna above, this gives a maximum of 0.54*1000/10 Watts/hour = 54 Watts/hour. Note that this is the maximum amount of energy that this system is capable of harnessing assuming no losses. A typical efficiency for a solar cell is about 25%, and a typical reflectivity for the 1.1eV to 1.3 eV waves from aluminum are about 90 to 95% reflected. So a typical value of harnessed energy for this system comes out to be: 54*.25*.9 = 12.15 Watts/hour (minimum). A typical location will get about 5 hours of direct sunlight each day. This amounts to an average of 22.17kWh of energy annually. With the cost of energy being approximately $0.05/kWh USD, the payback for a system is: Payback Period = 347.96/( 22.17x0.05) ≈ 314 years. Note that this is only a theoretical value. The actual energy produced by the system using a filter is analyzed below. Actual The results shown in figures 4-7 representing the system using the filter. The annual energy production and payback time for the real system is calculated: Energy (Watt-hours) =Power (Watts)*3600(seconds/hour) = (0.00018 kilowatts)* 5 hours/day*365 days/year = 0.3285 kilowatt hours/ year. 23 The ratio of the expected hourly energy to the actual produced energy is 0.0061. This means that the real system produces 0.61% of the energy than what is expected. This number seems very low so it is possible that some of the assumptions made to create a theoretical value are fundamentally incorrect. The true payback time is then calculated to be 21,184 years! The addition of a simple filter adds a cost of $9.06 CAD. The ratio of the total cost to the filter cost is 2.6%. The ratio of the cost of the solar array to the total cost of the system is 23.6%. The ratio of the cost of the solar array to the cost of the filter is 11.05%. Conclusion This group concludes that as the temperature of solar cells increase, the power output increases to a maximum limit, which occurs at about 35 degrees Celsius and after this point the power starts to drop and the cell is no longer efficiently producing electricity. Therefore, the temperature of the solar array must be limited to maximize energy production. To prevent the solar cell from overheating, a filter is needed to block the unwanted wavelengths. The filter therefore limits the temperature of the solar array. The film filter is successful in limiting the temperature of the solar array and is cost effective. The price of the filter amounts to 2.6% of the overall cost of the system and is relatively cheap to the cost of the solar array at 11.05%. In conclusion the addition of camera film used as an optical filter is indeed economically feasible, however its performance reduces the overall energy production of the system so to make the project unrealistic. Without the use of a filter, the power output from this system more than doubles so long even at the most inefficient temperatures. Although the addition of the film allows the solar cell to operate close to the maximum efficiency level, the film also blocks a portion of the required wavelengths for the solar cell. As a portion of the useable light is blocked, the solar cell produces less power than is available, however the filter stabilizes temperatures of the solar array. The cost analysis section of this report shows that the system realized by this group is not worth developing further. Although the price of the filter is significantly lower than the cost of the solar array, the total cost of the system is actually quite expensive and only increases the payback time for the entire system. Additional Remarks To improve the efficiency, a glass filter can be specifically designed to filter out the unwanted wavelengths which cause the temperature to rise. However, these glass filters cost significantly more than the film filters and thus may not be economically viable. 24 References [1]Low Cost IR filter. Retrieved March 15, 2010, from http://www.northcountryradio.com/Articles/irfltr.htm [2] Riding to a Polarized Sunset. Retrieved March 10, 2010 from http://www.polarization.com/sky/sky.html [3] Cassegrain reflector. Retrieved March 9, 2010, from http://en.wikipedia.org/wiki/Cassegrain_reflector [4]COVALENT Clear view to Solar. Retrieved March 9, 2010, from http://www.covalentsolar.com/Technology [5]Monocrystalline Silicon. Retrieved March 10, 2010, from http://www.cogeneration.net/monocrystalline_silicon.htm [6]Concave mirrors. Retrieved March 20, 2010, from http://www.thorlabs.com/newGroupPage9.cfm?objectGroup_id=1161 [7] Photovoltaic System Economics. Retrieved March 2, 2010, from http://www.infinitepower.org/calc_pv.htm [8] Images Scientific Instruments. Solar Cells. Retrieved March 12, 2010, from http://www.imagesco.com/solar/solar-cells.html [9] Solar Power. Retrieved March 1, 2010, from http://www.solar4power.com/solar-power-basics.html 25 Appendix A Tracker circuit diagrams: 26