Not Applicable
Not Applicable
Not Applicable
This invention relates generally to the field of solar power and more specifically to a machine for concentrating solar radiation.
A number of systems for passive, or non-tracking, concentration of solar energy in one dimension to a line-like focus have been produced in the past. Among such systems are those shown in U.S. Pat. Nos. 6,467,916, 5,537,991, 5,289,356, 4,487,961, 4,359,265, 4,230,095, 4,003,638, and 4,002,499. A common characteristic of these systems is the use of smooth reflective surfaces to reflect light from the sun onto a region to be heated, such as a fluid-filled conduit.
The overall efficiency of the heating process is improved if the system incorporates a tracking mechanism to compensate for the apparent daily and seasonal motion of the sun. This can be accomplished by keeping the solar collector fixed and moving the target to the optical focus as the focus shifts with the motion of the sun (such as U.S. Pat. No. 4,000,734). More commonly the collector is continuously repositioned in order to keep the location of the focus fixed as the sun moves. This can be accomplished by adjusting the tilt of a mirror or an array of mirrors (such as U.S. Pat. Nos. 4,148,564 and 4,355,630), or adjusting the tilt of a prism or an array of prisms (such as U.S. Pat. Nos. 4,377,154 and 4,382,434).
Applications such as daylighting require high concentration ratios (point, or spot focus) and the ability to track the sun along two axes. A wide range of collectors is used to accomplish this, from Fresnel lenses and arrays of Fresnel lenses, to parabolic reflectors and arrays of parabolic reflectors, to holographic optical elements, and to combinations of these elements such as those shown in U.S. Pat. Nos. 6,384,320, 6,299,317, 6,274,860, 5,325,844, 4,832,002, 4,409,963, 4,297,000, and 4,153,474. In all cases it is necessary to incorporate a mechanical tracking mechanism to keep the solar energy focused onto the target to compensate for the sun's apparent daily and seasonal motion.
Existing solar collectors that actively track the sun's apparent motion incorporate a mechanical tracking system that both supports and tilts the collector in order to keep the solar energy aligned with the target. The drive must be robust enough to move the solar concentrator yet not be moved by external influences like the wind, which has the effect of degrading the alignment. Potential failure of the motion drive presents reliability and maintenance issues. As the collector is made larger for higher power systems its increased mass requires more robust support and tracking infrastructure, which leads to even higher total mass. At some point it makes sense to replace a single large collector with an array of smaller collectors, each of which has its own tracking mechanism, but the large number of mechanical drives compromises maintenance and reliability.
U.S. Pat. No. 6,169,594 describes a device which steers a collimated, polarized beam of light in one or two dimensions. A control voltage varies the refractive index of one or more arrays of prism-shaped cells of liquid crystal, which varies the deflection angle of the incident beam of light. This beam steering technology has not to date been generalized to steer unpolarized light nor has it been used in conjunction with a focusing element to concentrate light. The objective has been to create a small, fast, device that steers an unexpanded, polarized laser beam with a minimum of wavefront distortion. However, the problem of concentrating solar radiation does not require high speed nor does it require a high-quality image at the target. It does, however, require good efficiency, the ability to handle unpolarized light, large collection area, and a focusing element, none of which are features of the current technology.
The invention is a solar collector consisting of a Fresnel lens or other optical condenser, and one or more arrays of prismatic cells made from a material whose refractive index may be varied by applying an electromagnetic field. The refractive index of the cells is varied by the applied field in such a manner as to direct sunlight at a fixed angle into the condenser which then concentrates the light to a focus. The field is adjusted as the sun moves in the sky in order to keep the position of the optical focus fixed. There are no moving parts. Since the concentrator does not need to move, the design and construction of a support structure which resists vibration from wind is easier. Elimination of a mechanical tracking mechanism improves reliability and reduces overall weight. Other objects and advantages of the present invention will become apparent from the following descriptions, taken in connection with the accompanying drawings, wherein, by way of illustration and example, an embodiment of the present invention is disclosed.
a is an isometric view of a triangular prism.
b is a cross-sectional view of a triangular prism illustrating the deflection of a beam of light.
a is an exploded isometric view showing a groove in a block of transparent material and the material filling the groove.
b is an isometric view of a longitudinal director applied to a prism-shaped volume of liquid crystal.
c is an isometric view of a transverse director applied to a prism-shaped volume of liquid crystal.
a is a cross-sectional view of a volume of liquid crystal showing the orientation of liquid crystal molecules in the absence of an electric field.
b is a cross-sectional view of a volume of liquid crystal showing the orientation of liquid crystal molecules in the presence of a moderate electric field.
c is a cross-sectional view of a volume of liquid crystal showing the orientation of liquid crystal molecules in the presence of a high electric field.
a is a cross-sectional view showing the maximum deflection of an extraordinary ray incident on an asymmetric liquid crystal prism.
b is a cross-sectional view showing the minimum deflection of an extraordinary ray incident on an asymmetric liquid crystal prism.
a is a cross sectional view showing the maximum deflection of an extraordinary ray incident on a symmetric liquid crystal prism.
b is a cross sectional view showing the minimum deflection of an extraordinary ray incident on a symmetric liquid crystal prism.
a is a cross-sectional view of positive lensing in a liquid crystal prism due to nonuniform field.
b is a cross-sectional view showing positive lensing corrected by concave groove curvature.
a is a cross-sectional view of negative lensing in a liquid crystal prism due to nonuniform field.
b is a cross-sectional view showing negative lensing corrected by convex groove curvature.
a is an exploded isometric view of a steering grating and the material which is used to fill the grooves.
b is an isometric view of an assembled steering panel.
a is a diagram illustrating the measurement of surface conductivity of a square piece of a material.
b is a diagram illustrating the measurement of surface conductivity of two square pieces of a material placed in series.
c is a diagram illustrating the measurement of surface conductivity of two square pieces of a material placed in parallel.
d is a diagram illustrating the measurement of surface conductivity of four square pieces of a material arranged in the form of a larger square.
a is an isometric view of the components used to construct a first implementation of the 1D tracking solar concentrator.
b is an isometric view of a first implementation of the 1D tracking solar concentrator.
a is an isometric view of the components used to construct a second implementation of the 1D tracking solar concentrator.
b is an isometric view of a second implementation of the 1D tracking solar concentrator.
a is an isometric view of the components used to construct a third implementation of the 1D tracking solar concentrator.
b is an isometric view of a third implementation of the 1D tracking solar concentrator.
a is an isometric view of the components used to construct a fourth implementation of the 1D tracking solar concentrator.
b is an isometric view of a fourth implementation of the 1D tracking solar concentrator.
a is a cross-sectional view of a fifth implementation of the 1D tracking solar concentrator.
b is an enlarged cross-sectional view of a portion of a fifth implementation of the 1D tracking solar concentrator.
a is an isometric view of the components used to construct a sixth implementation of the 1D tracking solar concentrator.
b is an isometric view of a sixth implementation of the 1D tracking solar concentrator.
a is an isometric view of the components used to construct an eighth implementation of the 1D tracking solar concentrator.
b is an isometric view of an eighth implementation of the 1D tracking solar concentrator.
a is a cross-sectional view of a pair of 1D tracking solar concentrators used together in a segmented structure in order to extend the deflection range.
b is an isometric view of a pair of 1D tracking solar concentrators used together in a segmented structure in order to extend the deflection range.
a is an isometric view of the components used to construct a first implementation of the 2D tracking solar concentrator.
b is an isometric view of a first implementation of the 2D tracking solar concentrator.
a is an isometric view of the components used to construct a second implementation of the 2D tracking solar concentrator.
b is an isometric view of a second implementation of the 2D tracking solar concentrator.
Introduction
The collection and concentration of solar energy is a fundamental component in many heating, power generation, and daylighting applications. A first application is solar water heating. This is often accomplished by circulating water in a length of conduit, both ends of which connect to a holding tank. Solar radiation is concentrated on a section of the conduit, which gradually warms the water in the tank as the water in the conduit circulates.
A second application is the production of electric power using photovoltaic cells. Many applications involve a large-area device which collects the radiation and concentrates it onto a small photovoltaic cell which is specially designed to handle high power density. The point is to lower overall cost by reducing the area of expensive photovoltaic cells by incorporating relatively low-cost solar concentrators.
A third application is fiberoptic daylighting. This refers to the process of collecting visible radiation from the sun and directing it into one end of an optical fiber. The other end of the fiber terminates at a diffuser inside a building where the solar radiation provides passive lighting.
A fourth application is mechanical power generation by concentrating solar energy onto the heat cup of a Stirling engine. The heat is converted into rotational mechanical energy which may by used directly or converted to electricity using a generator.
All of these applications may be realized using the device described in this document.
Analysis of a Triangular Prism
n1 Sin(θ1)=n2 Sin(θ2)
where n1 and n2 are the refractive indices of medium one and medium two, respectively.
Consider a triangular prism 48 embedded in a uniform medium as shown in perspective in
nm Sin(θi)=np Sin(α)
where the angle between the incident face 52 and the exit face 50 of the prism is α. The angle between the incident ray and the exit ray, referred to as the deflection angle, φ, is thus
φ=θi−α=Sin−1 ((np/nm) Sin(α))−α.
Assume that the refractive index of the prism, np, may be varied continuously over a range without changing the physical dimensions or orientation of the prism. That is,
np,min<np<np,max.
There is then a continuous range of incident angles at which an incident ray 42 may strike the prism and be made to emerge from the prism normal to the exit face 50 by adjusting the refractive index of the prism. The deflection angle associated with the maximum index, np,max, is
φmax=Sin−1((np,max/nm) Sin(α))−α
and the deflection angle associated with the minimum index, np,min, is
φmin=Sin−1 ((np,min/nm) Sin(α))−α.
The total range of deflection angles is Δφ=φmax−φmin.
a shows how such a prism may be constructed by filling a prism-shaped groove in a block of transparent material 54 with a material 56 whose refractive index may be changed by applying an electromagnetic field. Ideally, a material which interacts in the same way with all incident light polarizations is used to fill the groove. The prism-shaped groove may also be filled with a liquid crystal material. Liquid crystals comprise a class of materials composed of elongated, polar molecules which tend to align with their long axes parallel to one another. Typically, the surface of a volume of liquid crystal is brushed to align the long axes of the surface molecules in a specific direction. This has the effect of aligning the long axes of all the other molecules in the same direction, which is called the director. For the prism-shaped volume of liquid crystal it is most convenient to set the director in the plane of the exposed surface, either parallel to the long dimension of the prism (longitudinal director) as is
Light polarized parallel to the director experiences a different refractive index than light polarized perpendicular to the director. This effect is referred to as birefringence and can be used to make a prism with a variable refractive index for light polarized parallel to the director. This is accomplished by applying an electric field normal to the exit face of the prism as shown in FIG. 6; i.e. parallel to the propagation direction of the light and perpendicular to either director. A coating of conductor 58 thin enough to be nearly transparent is applied to the top and the bottom surfaces of the prism/block device, and a voltage is applied between the conducting surfaces. This creates an electric field 60 in the desired direction whose strength depends on the magnitude of the applied voltage.
a shows the orientation of liquid crystal molecules 62 in a volume of liquid crystal material in the absence of an applied electric field. The director is well defined. In
Unpolarized light 63 incident on the volume of liquid crystal may be resolved into a component polarized parallel to the director, referred to as the extraordinary ray, and a component polarized perpendicular to the director, referred to as the ordinary ray. The polarization of the ordinary ray remains perpendicular to the long axis of the molecules for all values of the applied voltage so it experiences no change in refractive index, which is referred to as the ordinary refractive index, no. The polarization of the extraordinary ray is parallel to the long axis of the molecules when there is no field (
none(V)<ne.
By way of example, consider the device illustrated in cross section in
A case may be made for changing the cross section of the prism as shown in
It is worthwhile examining the embedded prism with a slightly different geometry, as shown in
From these simple examples it is clear there are many design parameters which influence device performance: choice of materials, especially the liquid crystal, and the orientation and apex angle of the prism. In general, the design of a device which maximizes total energy in a day (solar heating) will be different than a design which maximizes deflection range (passive solar lighting).
Curved Grating Faces
There are at least three ways to generate the applied electric field through the liquid crystal prism. The first method has been shown in
The optical analysis performed above on the prisms presumes a uniform electric field applied to the liquid crystal prisms. There is only one way to do this: the electrode configuration of
To some degree the lensing effect may be counteracted by using curved refracting surfaces. If the lensing acts like a positive lens, as in
1-Dimensional Solar Collector—Basic construction
For the 1-dimensional case a particular application concentrates solar energy to a line focus for solar water heating. The discussion above indicates that such a device may be built, in part, from a series of parallel prism-shaped volumes of a material whose refractive index may be controled by an applied electric field. One way to construct such a device is to start with a steering grating 70 stamped, cast or machined into a sheet of transparent material such as polycarbonate or acrylic as shown in
There are two issues to be addressed if the device is to use a liquid crystal material to fill the grooves. First, liquid crystal is birefringent and only the extraordinary refractive index may be varied by applying a field, so the single steering panel of
The second issue is the fact that the extraordinary refractive index of liquid crystals varies under the influence of an applied electric field. This field is created by introducing a thin layer of conducting material on either side of each layer of liquid crystal and applying a voltage between the conducting planes. There are two basic criteria for the thin conducting layer: it must be transparent (or nearly so) and it must be a conductor. It need not, however, be a good conductor. The motion of the sun demands a very modest response time from the liquid crystal, which means the conductive layer need only be conductive enough to produce an equipotential surface under nearly steady conditions. A static dissipative (SD) layer, with a surface resistivity in the range 106–108 Ohms/square, conducts well enough to remove accumulated charge in less than 50 milliseconds. A layer designated as conductive (103–106 Ohms/square) is a better conductor but is typically less transparent than a static dissipative layer.
Ohms per square is the unit of surface resistivity. It is a material parameter like density which is independent of size. Consider the measurement of surface resistance of square piece 75 of a given material as shown in
Sheets of various thicknesses of clear acrylic, polycarbonate or polyvinyl chloride (PVC) with one or both faces coated with an SD layer are available commercially from a number of manufacturers, such as Boedeker Plastics of Shiner, Tex., Terra Universal of Anaheim, Calif. and SciCron Technologies of Amarillo, Tex. Alternatively, a roll of film with an SD coating may be purchased from the same suppliers. In the simplest implementation, the steering grating is constructed from sheet material which has a static dissipative layer 74 on one surface as in
With these conditions in mind, several possible solutions present themselves. The preferred implementation is constructed from two steering panels 76 and a 1-dimensional Fresnel lens 32, as shown in
Assembly begins with a first steering grating placed smooth surface down. The grooves of the steering grating are filled with liquid crystal material and the surface is brushed to fix the director either parallel to the long axis of the prism cells (longitudinal director) or perpendicular to the long axis (transverse director). A second steering grating is placed, smooth surface down, directly atop the first steering grating with the grooves of the second grating parallel to the grooves of the first grating. The grooves of the second steering grating are filled with liquid crystal and the surface is brushed to fix the director perpendicular to the director of the first layer of liquid crystal. Finally, the Fresnel lens is placed, smooth surface down, directly on top of the second steering grating. If a 1-dimensional Fresnel lens is used the the grooves of the Fresnel lens must be parallel to the grooves in the steering gratings. The entire assembly is then flipped over as shown in
A second preferred implementation uses a parabolic trough mirror 38 instead of a Fresnel lens, as shown in
There are many variations on this theme, combinations of steering gratings and cover plates used with either a parabolic trough, a 1-dimensional Fresnel lens, a 2-dimensional Fresnel lens, or some other optical condenser as shown in
The variations shown in
In all cases, the throughput and deflection range are determined by the steering gratings, and the concentration ratio is determined by the condenser. In all cases the placement of the three conducting layers is such that one may separately control the extraordinary refractive index of each array of liquid-crystal-filled prisms should this be necessary. A voltage between the top conducting layer and the middle conducting layer produces an electric field in the upper array of liquid crystal prisms, and a voltage between the middle conducting layer and the bottom conducting layer produces an electric field in the lower array of liquid crystal prisms.
Analyze the steering panel of
Since there is a difference, however modest, between the steering of one polarization versus the other, a separate voltage control must be provided for each liquid crystal layer for maximum quality of focus. In practice the voltage differences are slight. If the somewhat reduced performance is acceptable the device may be simplified by having a single voltage source control both liquid crystal layers.
A deflection range of 29° is acceptable for a line focus solar water heater designed to accommodate for the Sun's seasonal variation in temperate latitudes. A simple calculation shows that a properly aligned device (for which one extreme of the deflection range corresponds to the summer solstice) accommodates the position of the Sun for 105 days on either side of the summer solstice (210 days total). That is, the device works 7 months of the year, from early March until early October. In milder climates, where solar water heating is an option for larger portions of the year, a device with a larger deflection range may be designed and constructed. For instance, using symmetric grooves as in
The deflection range can be improved in several ways. First, a liquid crystal which has larger birefringence may be used. Second, a larger blaze angle may be used. Third, symmetric grooves may be used as shown in
Alignment and Control
There are two basic strategies one may pursue for maintaining the optical alignment of the device. In either case, control of the refractive index of the liquid crystal prisms requires a variable voltage source and a power supply. The first strategy uses a clock and a look-up table. If the latitude and alignment (usually East-West) of the device are known then the position of the Sun can be calculated for any time of day or year. A table yields the voltage required to keep the focus at the desired location. This is simple conceptually, but in practice this approach is complicated by changing temperatures, shifting of the physical components of the device over time, and wind loading.
Other components may be added to improve the control of the device. For instance, a rechargeable battery may be used to power the device, so that alignment is preserved during periods of cloud cover and darkness. The pair of PV cells may then be used to power a recharging circuit for the battery as well as to provide alignment status to the voltage control.
Two Dimensional Device
Certain applications, such as daylighting via fiberoptic cable, require high concentration of light, i.e. point focus as opposed to line focus. This in turn requires two-dimensional tracking of the sun's apparent motion. The preferred 2D implementation uses a point-focus condenser, such as the Fresnel lens 92 shown in
The 1D variations illustrated in
Alignment of the 2D optical concentrator can be controlled with a square array of photovoltaic cells 94 surrounding the end of the fiber 96 as shown in
While the invention has been described in connection with a preferred embodiment, it is not intended to limit the scope of the invention to the particular form set forth, but on the contrary, it is intended to cover such alternatives, modifications, and equivalents as may be included within the spirit and scope of the invention as defined by the appended claims.
Number | Name | Date | Kind |
---|---|---|---|
4456783 | Baker | Jun 1984 | A |
6700054 | Cherney et al. | Mar 2004 | B2 |
20040179148 | Nishioka et al. | Sep 2004 | A1 |