This is my System, Got it through Solar Hart, 22X290 watt REC Solar panels. They are frikkin AWESOME. ALL facing north, slightly North-East.
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This lot of panels doesn't even take up 1/4 of my entire available roof space. Pity I wasn't allowed to cover the entire house! They are not shaded at all throughout the day except by any cloud cover.
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The inverter is positioned perfectly on the southern side of the house by the back (laundry door). It never receives sunlight so is cool all the time even in summer.
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Something doesn't sound right there... the system isn't operating correctly or your panels need a serious clean. I get up on the roof once a fortnight with an extendable soft bristle broom and electric leaf blower and remove the layer of dust from my panels. Solar panels create a lot of static electricity and any dust in the air is attracted to them and if you haven't had a decent shower of rain in a while they'll be filthy and likely covered in dust and bird excrement. I keep mine looking like brand new and they operate superbly. They're not a "install and forget" thing, they need to be maintained and a lot more often than the suggested "once a year" spin. When on my roof cleaning my panels I often look at my neighbour's panels and think they wouldn't be generating any electricity at all, they haven't been touched since they were installed in 2012 and would need about 10 litres of industrial degreaser and truck wash sprayed on them and a powerful gurney to clean them up.
The tiniest film of dust/dirt on the solar panels can reduce their output by 10% so you definitely want to keep them shiny clean.