Results of annual simulation
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2 2 x Vitosol 100-FM SVKF Total gross surface area:4,46 m² Azimuth: 0 Incl.: Liters/Day 50 C Gas-fired boiler 26 kw Vitocell 100-B Vol : 250 l Results of annual simulation Installed collector power: 3,12 kw Installed solar surface area (gross): 4,46 m² Irradiation on collector surface (active): 4.636,04 kwh 1.153,24 kwh/m² Energy delivered by collectors: 1.840,47 kwh 457,83 kwh/m² Energy delivered by collector loop: 1.588,90 kwh 395,25 kwh/m² DHW heating energy supply: Solar energy contribution to DHW: Energy from auxiliary heating: 2.632,04 kwh 1.454,06 kwh 1.452,4 kwh Natural gas (H) savings: 211,1 m³ CO2 emissions avoided: 446,33 kg DHW solar fraction: 50,0 % Relative savings of supplementary energy (DIN EN 12977): 53,0 % System efficiency: 31,4 % Page 2 from 12
3 Site Data Climate data Location: BRUSSELS NATIONAL Climate data record: BRUSSELS NATIONAL Total annual global irradiation: 1014,311 kwh/m² Latitude: 50,9 Longitude: -4,53 Domestic hot water Average daily consumption: 0,16 m³ Desired temperature: 50 C Consumption profile: Detached house (evening max) Cold water temperature: February: 9 C August: 13 C Circulation: no Page 3 from 12
4 System Collector loop Manufacturer: Viessmann Werke GmbH & Co Type: Vitosol 100-FM SVKF Number: 2,00 Total gross surface area: 4,46 m² Total active solar surface area: 4,02 m² Inclination (Tilt Angle): 30 Orientation: 180 Azimuth: 0 Dual coil indirect hot water tank Manufacturer: Viessmann(141 FM) Type: Vitocell 100-B Volume: 0,25 m³ Auxiliary heating Manufacturer: Type: Nominal output: Standard Gas-fired boiler 26 kw Legend With test report Solar Keymark Page 4 from 12
5 Solar energy consumption as percentage of total consumption [ kwh ] per week feb mrt apr mei jun jul aug sep okt nov dec Solar contribution kwh Total energy consumption kwh Daily maximum collector temperature [ C ] jan feb mrt apr mei jun jul aug sep okt nov dec These calculations were carried out by - the simulation program for solar thermal heating systems The results are determined by a mathematical model calculation with variable time steps of up to 6 minutes. Actual yields can deviate from these values due to fluctuations in climate, consumption and other factors. The system schematic diagram above does not represent and cannot replace a full technical drawing of the solar system. Page 5 from 12
6 Energy balance schematic Legend 1 Irradiation on collector surface (active) kwh 1.1 Optical collector losses kwh 1.2 Thermal collector losses kwh 2 Energy from collector array kwh 2.1 Solar energy to storage tank kwh 2.5 Internal piping losses 210 kwh 2.6 External piping losses 41 kwh 3.1 Tank losses 409 kwh 6 Final energy kwh 6.1 Supplementary energy to tank kwh 9 DHW energy from tank kwh Page 6 from 12
7 Glossary 1 Irradiation on collector surface (active) Solar energy irradiated onto tilted collector area (active surface area) 1.1 Optical collector losses Reflection and other losses 1.2 Thermal collector losses Heat conduction and other losses 2 Energy from collector array Energy output at collector array outlet (i.e. before piping) 2.1 Solar energy to storage tank Energy from collector loop to storage tank (minus piping losses) 2.5 Internal piping losses Internal piping losses 2.6 External piping losses External piping losses 3.1 Tank losses Heat losses via surface area 6 Final energy Final energy supply to system. This can be supplied from natural gas, oil or electricity (not including solar energy) and takes efficiency into account. 6.1 Supplementary energy to tank Supplementary energy (e.g. boiler) to tank 9 DHW energy from tank Heat from tank (exluding circulation) for DHW consumption Page 7 from 12
8 Results of annual simulation Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec DHW system Savings Natural gas (H) in m³ 211,1 5,6 7,6 14,1 20,2 26,1 29,9 29,1 31,8 21,8 15,7 6,4 2,8 CO2 emissions avoided in kg 446,3 11,8 16,2 29,9 42,7 55,1 63,2 61,4 67,3 46,2 33,2 13,5 5,9 DHW solar fraction in % 50,0 18,2 26,8 49,1 65,2 72,5 83,6 80,1 79,2 66,2 49,5 22,2 9,2 System efficiency in % 31,4 31,5 32,4 32,7 32,1 30,1 30,3 28,4 32,6 32,1 35,6 32,5 25,5 Solar energy contribution to DHW in kwh E - Solar loop to tank in kwh Energy: Aux. heating in kwh Climate Outside temperature in C 11,0 4,0 4,7 7,0 10,2 14,1 16,7 18,4 18,2 15,2 11,7 7,8 4,0 Global radiation - horizontal in kwh/m² Position of sun - altitude in 12,7 4,0 6,6 11,0 16,4 21,1 23,3 22,3 18,3 12,9 8,0 4,6 3,3 Position of sun - azimuth in -5,6-6,7-7,2-6,8-5,6-5,2-5,7-6,3-6,2-5,1-3,8-3,7-5,1 Wind speed in m/s 3,9 5,0 4,6 4,3 3,5 3,6 3,2 3,4 3,1 3,2 3,8 4,4 4,3 Page 8 from 12
9 Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Hot water consumption DHW heating energy supply in kwh DHW heating energy requirement in kwh Circulation losses in kwh Cold water temperature in C 11,0 9,2 9,0 9,3 10,1 11,1 12,1 12,8 13,0 12,7 11,9 10,9 9,9 DHW temperature in C 49,9 49,9 49,9 49,7 49,9 49,9 50,0 49,9 49,8 49,9 49,8 49,9 49,9 Preset DHW consumption in m³ 58,0 5,5 5,0 5,0 4,9 4,5 4,4 4,0 4,5 4,4 5,0 5,4 5,5 DHW - consumption in m³ 53,4 5,3 4,8 4,8 4,4 3,9 3,8 3,4 4,0 3,9 4,7 5,1 5,3 Solar loop Max collector temperature in C 33,2 18,2 21,6 30,3 38,5 42,7 45,5 46,8 45,1 40,2 32,1 22,0 14,4 Collector loop Energy from collector loop (CL 1) in kwh Collector loop efficiency (CL 1) in % 34,3 34,0 34,6 35,2 34,7 32,9 33,3 31,9 35,6 35,4 38,4 35,3 28,4 Collector loop reference temperature (CL 1) in C 23,2 13,0 14,0 18,0 24,3 30,2 33,9 37,7 30,7 27,7 19,7 15,3 12,7 T Coll out (CL 1) in C 43,0 28,3 31,5 36,1 45,0 48,6 49,7 49,9 47,6 44,1 35,7 33,8 24,7 Page 9 from 12
10 Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Volume flow (CL 1) in m³ 363,9 14,9 18,1 31,1 37,9 42,6 44,8 43,7 42,0 35,2 30,3 13,9 9,4 Control factor (CL 1) in % 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 Collector array spec. DNI (CL 1) in kwh/m² 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 G opt. loss deduct. (CL 1) in kwh/m² 832,7 28,2 37,4 68,9 92,9 105,1 107,8 105,2 100,7 78,2 59,9 31,3 17,2 Specific global radiation onto inclined surface area (CL 1) in kwh/m² 1.153,2 39,1 52,0 95,0 127,7 145,4 149,7 146,5 139,1 108,2 83,0 43,3 24,1 Spec. global radiation onto inclined, shaded surface (CL 1) in kwh/m² 1.153,2 39,1 52,0 95,0 127,7 145,4 149,7 146,5 139,1 108,2 83,0 43,3 24,1 Irradiation on gross surface area -unshaded- (CL 1) in kwh Irradiation on gross surface area (CL 1) in kwh Irradiation on active solar surface area -unshaded- (CL 1) in kwh Irradiation on active surface area (CL 1) in kwh Optical losses (CL 1) in kwh Losses - external piping (CL 1) in kwh Losses - internal piping (CL 1) in kwh Thermal collector losses (CL 1) in kwh Page 10 from 12
11 Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Collector outlet temperature (CL 1) in C 21,3 8,6 11,2 17,1 24,0 29,5 32,6 33,7 31,9 26,4 19,7 12,7 7,3 Collector temperature (CL 1) in C 20,7 8,4 10,9 16,6 23,2 28,7 31,8 32,9 31,1 25,8 19,2 12,4 7,2 Max collector temperature (CL 1) in C 31,1 16,9 20,0 27,6 35,7 40,5 43,2 44,3 42,5 37,5 29,9 20,7 13,9 Pump energy (CL 1) in kwh Dual coil indirect hot water tank Tank losses in kwh Change in internal energy in kwh Average temperature in C 36,8 28,2 29,0 34,1 39,9 42,9 45,0 46,7 43,1 41,0 34,7 29,3 27,1 Sensor: collector loop reference temperature in C 23,1 13,0 14,0 18,0 24,3 30,1 33,8 37,7 30,7 27,7 19,7 15,3 12,7 Sensor: collector loop switch-off temperature in C 53,8 51,9 51,8 51,8 55,1 56,2 56,6 57,5 54,6 54,8 51,8 51,8 51,8 Auxiliary heating sensor on in C 53,3 51,0 51,0 51,4 54,8 56,0 56,3 57,3 54,5 54,3 51,4 51,0 50,8 Sensor: auxiliary heating off in C 53,3 51,0 51,0 51,4 54,8 56,0 56,3 57,3 54,5 54,3 51,4 51,0 50,8 E-Electric heater rod in kwh Consumption Natural gas (H) in m³ 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 0,0 Desired temperature auxiliary heating in C 50,0 50,0 50,0 50,0 50,0 50,0 50,0 50,0 50,0 50,0 50,0 50,0 50,0 Page 11 from 12
12 Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec solar tank losses in kwh Gas-fired boiler Energy from boiler in kwh Primary energy equivalent in kwh Consumption Natural gas (H) in m³ 178,7 25,1 20,9 14,6 10,8 9,2 5,8 7,2 8,3 11,4 15,4 22,4 27,6 Return temperature in C 56,2 55,6 55,9 56,5 56,7 57,2 57,8 57,3 57,6 57,2 56,7 55,8 55,3 Supply temperature in C 63,0 63,0 63,0 63,0 63,0 63,0 63,0 63,0 63,0 63,0 63,0 63,0 63,0 Page 12 from 12
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Design Criteria Data
BURLINGTON VT Latitude = 44.47 N WMO No. 72617 Longitude = 73.15 W Elevation = 341 feet Period of Record = 1973 to 1996 Average Pressure = 29.61 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
RAPID CITY SD Latitude = 44.5 N WMO No. 72662 Longitude =3. W Elevation = 3169 feet Period of Record = 1973 to 1996 Average Pressure = 26.67 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
COLUMBIA SC Latitude = 33.95 N WMO No. 7231 Longitude = 81.12 W Elevation = 226 feet Period of Record = 1973 to 1996 Average Pressure = 29.8 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
PHILADELPHIA PA Latitude = 39.88 N WMO No. 7248 Longitude = 75.25 W Elevation = 3 feet Period of Record = 1973 to 1996 Average Pressure = 29.98 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
HONOLULU/OAHU HI Latitude = 21.35 N WMO No. 91182 Longitude =157.9 W Elevation = 16 feet Period of Record = 1967 to 1996 Average Pressure = 29.96 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
MACON/LEWIS WILSON GA Latitude = 32.7 N WMO No. 72217 Longitude = 83.65 W Elevation = 361 feet Period of Record = 1973 to 1996 Average Pressure = 29.66 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
PIERRE SD Latitude = 44.38 N WMO No. 726686 Longitude =1.2 W Elevation = 1742 feet Period of Record = 1973 to 1996 Average Pressure = 28.1 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
INDIANAPOLIS IN Latitude = 39.73 N WMO No. 72438 Longitude = 86.27 W Elevation = 87 feet Period of Record = 1973 to 1996 Average Pressure = 29.15 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
ANCHORAGE AK Latitude = 61.17 N WMO No. 7273 Longitude =15. W Elevation = 131 feet Period of Record = 1973 to 1996 Average Pressure = 29.6 inches Hg Design Criteria Data Mean Coincident (Average) Values
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DENVER/STAPLETON CO Latitude = 39.75 N WMO No. 72469 Longitude =14.8 W Elevation = 5332 feet Period of Record = 1973 to 1995 Average Pressure = 24.66 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
JACKSONVILLE FL Latitude = 3.5 N WMO No. 7226 Longitude = 81.7 W Elevation = 3 feet Period of Record = 1973 to 1996 Average Pressure = 3.1 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
SPOKANE WA Latitude = 47.63 N WMO No. 72785 Longitude =117.5 W Elevation = 2366 feet Period of Record = 1973 to 1996 Average Pressure = 27.5 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
LOUISVILLE/STANDIFORD KY Latitude = 38.18 N WMO No. 72423 Longitude = 85.73 W Elevation = 489 feet Period of Record = 1973 to 1996 Average Pressure = 29.49 inches Hg Design Criteria Data Mean Coincident
Design Criteria Data
DAYTON/JAMES M COX OH Latitude = 39.9 N WMO No. 72429 Longitude = 84.2 W Elevation = 14 feet Period of Record = 1973 to 1996 Average Pressure = 28.95 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
SPRINGFLD MO Latitude = 37.23 N WMO No. 7244 Longitude = 93.38 W Elevation = 127 feet Period of Record = 1973 to 1996 Average Pressure = 28.66 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
BIRMINGHAM AL Latitude = 33.57 N WMO No. 72228 Longitude = 86.75 W Elevation = 63 feet Period of Record = 1973 to 1996 Average Pressure = 29.36 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
BOSTON/LOGAN MA Latitude = 42.37 N WMO No. 7259 Longitude = 71.3 W Elevation = 3 feet Period of Record = 1967 to 1996 Average Pressure = 29.95 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
MINNEAPOLIS-ST PAUL MN Latitude = 44.88 N WMO No. 72658 Longitude = 93.22 W Elevation = 837 feet Period of Record = 1973 to 1996 Average Pressure = 29.7 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
MIDLAND TX Latitude = 31.95 N WMO No. 72265 Longitude =2. W Elevation = 2861 feet Period of Record = 1973 to 1996 Average Pressure = 27.3 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
NEW YORK/JOHN F KENNEDY NY Latitude = 4.65 N WMO No. 74486 Longitude = 73.78 W Elevation = 23 feet Period of Record = 1973 to 1996 Average Pressure = 29.98 inches Hg Design Criteria Data Mean Coincident
Design Criteria Data
WASHINGTON/DULLES VA Latitude = 38.95 N WMO No. 7243 Longitude = 77.45 W Elevation = 322 feet Period of Record = 1973 to 1996 Average Pressure = 29.68 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
LANDER/HUNT WY Latitude = 42.82 N WMO No. 72576 Longitude =18.7 W Elevation = 5558 feet Period of Record = 1973 to 1996 Average Pressure = 24.44 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
ALBUQUERQUE NM Latitude = 35.5 N WMO No. 72365 Longitude =16.6 W Elevation = 5315 feet Period of Record = 1967 to 1996 Average Pressure = 24.72 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
DULUTH MN Latitude = 46.83 N WMO No. 72745 Longitude = 92.18 W Elevation = 1417 feet Period of Record = 1973 to 1996 Average Pressure = 28.43 inches Hg Design Criteria Data Mean Coincident (Average) Values
Design Criteria Data
MINOT AFB ND Latitude = 48.42 N WMO No. 727675 Longitude =11.3 W Elevation = 1667 feet Period of Record = 1967 to 1996 Average Pressure = 28.16 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
CHARLESTON/KANAWHA WV Latitude = 38.37 N WMO No. 72414 Longitude = 81.6 W Elevation = 981 feet Period of Record = 1973 to 1996 Average Pressure = 29. inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
CHICAGO/O HARE IL Latitude = 41.98 N WMO No. 7253 Longitude = 87.9 W Elevation = 673 feet Period of Record = 1967 to 1996 Average Pressure = 29.27 inches Hg Design Criteria Data Mean Coincident (Average)
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MADISON/DANE CO. RGNL WI Latitude = 43.13 N WMO No. 72641 Longitude = 89.33 W Elevation = 866 feet Period of Record = 1973 to 1996 Average Pressure = 29.5 inches Hg Design Criteria Data Mean Coincident
Design Criteria Data
RENO/CANNON INTL NV Latitude = 39.5 N WMO No. 72488 Longitude =119.7 W Elevation = 44 feet Period of Record = 1973 to 1996 Average Pressure = 25.57 inches Hg Design Criteria Data Mean Coincident (Average)
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Design Criteria Data
OKLAHOMA CITY OK Latitude = 35.4 N WMO No. 72353 Longitude = 97.6 W Elevation = 133 feet Period of Record = 1973 to 1996 Average Pressure = 28.62 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
MEDFORD/JACKSON CO. OR Latitude = 42.37 N WMO No. 72597 Longitude =122.8 W Elevation = 1329 feet Period of Record = 1973 to 1996 Average Pressure = 28.61 inches Hg Design Criteria Data Mean Coincident
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Design Criteria Data
DES MOINES IA Latitude = 41.53 N WMO No. 72546 Longitude = 93.65 W Elevation = 965 feet Period of Record = 1973 to 1996 Average Pressure = 28.96 inches Hg Design Criteria Data Mean Coincident (Average)
Design Criteria Data
LAS VEGAS/MCCARRAN NV Latitude = 36.8 N WMO No. 72386 Longitude =115.1 W Elevation = 2179 feet Period of Record = 1973 to 1996 Average Pressure = 27.67 inches Hg Design Criteria Data Mean Coincident (Average)
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PHOENIX/SKY HARBOR AZ Latitude = 33.43 N WMO No. 72278 Longitude =112. W Elevation = 116 feet Period of Record = 1973 to 1996 Average Pressure = 28.72 inches Hg Design Criteria Data Mean Coincident (Average)
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