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Calculating how much electricity I can produce

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Hi,

I'm in Brisbane Australia. Currently we some decent government grants
such that a 1.5kw solar system costs around $3000AUD.

I've just been observing my roof recently. It is facing west north west
(be aware, souther hemisphere so north is ideal), gets sun from about
10:30/11:00 - 4:00/4:30, this is during our winter.

However, I've noted that parts of the roof are shaded a bit from some
large gum trees up until about 1pm.

I'm wondering if there is anyway (or the best way) of...

Calculating how much electricity I can produce

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