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Solar pvs - viable size of system?

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Hello. I need to make a fairly quick judgment on whether a roof of 14 sq metres (pitched, south facing, second storey) would be big enough to take a 3kw solar pv system. Or if only able to take 2kw for example - whether such a small array will provide electricity to serve a 3-bed house (currently only one occupier with fairly low usage). Can give figures later. But it's this, or nothing, or resumed attempt to mend solar thermal outfit there. Be very grateful for others' experience/knowhow. I'd prefer to have integrated Solartrix style slates/tiles - not big panels or bolt-ons. Thanks

Solartrix are only available in 1200x400 at 60w, so given a 14m2 roof is most likely 4m x 3.5m, and allowing a 300mm border on all edges you would get a maximum of 2 columns and 8 rows in reality which would be 16 cells or 960W.

 

4 standard panels using a GSE or easyroof system would give 1600W in the same space. 
 

Could give a better example with the full roof dimensions 

 

 

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