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8.3.4  Experimental Determination of Collector Incident Angle Modifier
8.3.4.1  Nonconcentrating and Stationary Concen-
trating Collectors. The testing of the solar collector to determine its incident angle modifier can be done by one of two methods. However, during each test period, the orientation of the collector shall be such that the collector is maintained
within ¡À2.5¡ã of the angle of incidence for which the test is being conducted.
For those collectors (e.g., evacuated tube collectors) for which the incident angle effects are not symmetrical with direction of incidence, it will be necessary to measure the incident angle effects from more than one direction, as illustrated in Appendix G.
Method 1: This method is applicable for testing indoors using a solar simulator, or outdoors using a movable test rack (altazimuth collector mount) so that the orientation of the collector can be arbitrarily adjusted with respect to the direction of the incident solar radiation. The collector is oriented so that the test incident angles between it and the direct solar radiation for the four test conditions are, respectively, approximately 0, 30, 45, and 60 degrees. It is recommended that these data be taken during a
single day. For some collectors with unusual optical performance characteristics, other incident angles will be more appropriate. For each data point, the inlet temperature of the heat transfer fluid shall be controlled as closely as possible (preferably
within ¡À1¡ãC [¡À1.8¡ãF]) to the ambient air temperature. The four separate efficiency values are determined in accordance with Section 8.3.3.
Method 2: This method is applicable for testing outside using a stationary test rack where the collector orientation cannot be arbitrarily adjusted with respect to the direction of the incident solar radiation (except for adjustments in tilt). For each data point, the inlet temperature of the transfer fluid shall be controlled, if possible, to within ¡À1¡ãC (¡À1.8¡ãF) of the ambient air temperature. The efficiency values are determined
in pairs, where each pair includes a value of efficiency before solar noon and a second value after solar noon. The average incident angle between the collector and the solar
beam for both data points is the same. The efficiency of the collector for the specific incident angle shall be considered equal to the average of the two values. Efficiency values are determined in general accordance with the method described in Section 8.3.3. As with Method 1, data should be collected for incident angles of approximately 0, 30, 45, and 60 degrees. For some collectors with unusual optical performance characteristics, other incident angles will be necessary.
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8.3.4.2 Single-Axis Tracking Collectors
8.3.4.2.1 Incident Angle, Longitudinal Axis. The collector is oriented such that the projection of the beam irradiance onto the concentrator aperture plane is parallel to the longitudinal axis of the receiver when the concentrator optics are focused. The angle of incidence is the angle formed by the intersection of a normal to the aperture plane and the beam irradiance. The incident angle modifier shall be measured in accordance with Method 1 in Section 8.3.4.1. If the irradiance source is a solar irradiance simulator, the collimation specified in Section 7.3.3 must be met for the concentration ratio of the collector being tested.
8.3.4.2.2 Incident Angle, Perpendicular to Tracking Axis. This test is used to determine the acceptance angleof the collector, which, in turn, can be used to determine therequired tracking accuracy for the collector, as illustrated in Appendix G.The fluid inlet temperature must be controlled as closely as possible (preferably within ¡À1¡ãC [¡À1.8¡ãF]) to the air temperature surrounding the collector throughout the test period. Any one of the following three test methods can be used. Method 1 (North-South Axis): When tested outdoors and mounted for tracking in a north-south axis, the test should bemade at approximately solar noon. The collector is adjusted to a position 7 ½¡ã to 10¡ã ahead of the sun and is then to remain
stationary during the remainder of the test, which is to be 60 minutes for a 7 ½¡ã lead or 80 minutes for a 10¡ã lead. During this period, direct normal irradiance shall exceed 800 W/m2 (254 Btu/h¡¤ft2) and remain as constant as possible. The collector may be placed at the latitude angle, at a tilt of 90¡ãminus the sun's maximum altitude for the day and location, or may be placed horizontally according to the manufacturer's intended use. The fluid temperature rise shall be taken and recorded at one-minute intervals, or more often if needed, during the time the sun is within five minutes of the plane of focus of the collector Method 2 (East-West Axis): When testing outdoors and mounted for tracking in an east-west axis, the test shall be made in a continuous run from 10:00 a.m. to 2:00 p.m. Apparent solar time for the location. The fluid inlet temperature shall
be adjusted to a level such that (tf,i ¨C ta) can be held constant throughout the test. The collector is to be adjusted for an angle equal to the sun altitude at 11:00 a.m. for the location and time of year¡ªsee Tables E.7 through E.12 for altitude angles. The collector is to remain in this position throughout the test period. During the entire period, the direct normal irradiance shall exceed 800 W/m2 (254 Btu/h¡¤ft2) and shall be as constant as possible. The fluid temperature rise shall be taken and recorded at one-minute intervals, or more often if needed, from 10:00 a.m. to 2:00 p.m.
Method 3 (Solar Irradiance Simulator): When testing indoors in a solar simulator, the tracking collector is to be mounted in the axis position for which it is designed. The tracking angle is to be adjusted between 7 ½¡ã and 10¡ã from the normal to the simulator beam. The fluid inlet temperature shall be adjusted to a level such that (tf,i ¨C ta) can be held constant during the test. The simulator radiation level is to be adjusted to a minimum value of 800 W/m2 (254 Btu/h¡¤ft2) and held constant during the entire test period. The collector shall then be moved in a tracking mode at the rate of 15¡ã per hour until it reaches an angle from the normal to the simulator beam equal to the angle at which the test was started. The fluid temperature rise shall be taken and recorded at one-minute intervals, or more often if needed, throughout the test.
8.4 Computation of Collector Time Constant According to the definition of time constant given in Section 8.2.2, it is the time required for the temperature of the collector outlet to rise to 63.2% of its steady-state temperature. Regardless of which experimental method in Section 8.3.1 is used, at the start the incident solar radiation is equal to zero and the inlet fluid temperature is held sufficiently close to the ambient air temperature so that (tf,i ¨C ta) ¡Ö 0.Therefore, by monitoring the entering and exit fluid temperatures as a function of time, the time constant is the time required for(8.21)
8.5 Computation of Collector Thermal Efficiency
There are four bases upon which collector thermal efficiency values may be computed. All of these bases use the same test method and the same test-data information is recorded. The four bases result from the fact that users have two choices for the area used in the calculation¡ªeither gross area (Ag) or absorber area (Ar)¡ªand they have two choices for the temperature used in the calculation¡ªeither the inlet
temperature (tf,i) or the average absorber fluid temperature (tf). For example, an efficiency may be calculated using the value of the gross area, Ag, and the average of the inlet temperature, tfi, for the duration of the data point using the following
equation8.22)
For those collectors that do not accept diffuse radiation, G in the denominator of Equation 8.22 is only the direct component in the aperture plane, Gbp. Similarly, an efficiency
may be calculated by using the absorber area, Ar, and by substituting the average collector temperature, tf, for the average collector inlet temperature, tf,i. With these values, the equation is revised as follows:
. (8.23)
Regardless of which basis is used to calculate efficiency values, at least 16 data points shall be obtained for the establishment of the efficiency curve, and an equation for the curve shall be obtained using the standard technique of a leastsquares fit. The curve shall not be extrapolated beyond the limits of data.
8.6 Computation of Collector Incident Angle Modifier
Regardless of which experimental method in Section 8.3.4 is used, values of the thermal efficiency of the collector shall be determined corresponding to each value of incident angle. For conventional nonconcentrating and linear singleaxis concentrating collectors, only four angles of incidence are needed, i.e., 0, 30, 45, and 60 degrees. (It is noted that a rating standard using this test method may require that K¦Á¦Ó be measured for a different set of angles of incidence.) Since the inlet fluid temperature is held sufficiently close to the ambient air temperature so that (tf,i ¨C ta) ¡Ö 0, the relationships between K¦Á¦Ó and the efficiency, according to Equations 8.14 and 8.15,are:
4Â¥2013-06-13 08:23:53
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