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Parabolic Trough Solar System Piping Model Final Report NREL Contract No. AAA-2-32432-01 2. The annual thermal losses through the insulation are calculated as follows: (Annual collector field operating time, hours)(Thermal losses at design temperature, J/sec)(3,600 sec/hr) + (8,760 - Annual collector field operating time, hours)(Thermal losses at overnight temperature, J/sec)(3,600 sec/hr) [11] where the average fluid temperature during the overnight circulation periods is assumed to be 200 °C. This value can be adjusted in the future based on analysis of the annual average using Excelergy. Capital Cost Development 1. The capital cost of the pipe and fittings is estimated as follows: Unit cost, $/m = (Unit weight, kg/m)(Unit cost, $/kg) where the unit cost, in $/kg, is a function of the pipe diameter and material. 2. The installed cost for the pipe fittings and valves were estimated from the number of fittings and valves, specified by the user, and cost data from vendor quotes1. 3. The installation labor costs for the pipe, supports, and hangers include the following elements: material handling; erection, lineup, and tack welds; production welds; inspections; and hydraulic tests. The labor hours are a function of the pipe diameter and wall thickness, and were derived from historical Bechtel cost data. 4. The installed costs for the pipe insulation are estimated from a three-dimensional surface fit of cost as a function of pipe diameter and insulation thickness. The cost data were derived from parametric vendor cost information on the Solar Two project, and from project cost data identical to the Flabeg model. 5. In the absence of a pipe stress analysis, pipe supports and anchors were assumed to be located every 8 m. The installed costs for the supports were estimated from cost data from the Flabeg model. Equivalent Capital Cost of Losses 1. The equivalent capital cost of the heat loss through the insulation is calculated as follows: Equivalent capital cost = (Annual thermal losses,kWht)(Cost of thermal energy,$/kWht) Fixed charge rate [12] where [13] 1 Currently this cost data is identical to that used in the Flabeg model, with the original source being data obtained from a vendor to Kramer Junction. - 12 - September 15, 2002PDF Image | Parabolic Trough Solar System Piping Model
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