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Hi Aly,
It is better to plot a 'sunny day' (less cloud interference) to compare the actual vs TMY or a few continuous days. This shift could be possible due to two reasons:
1) Locations are slightly different
2) Local interference during the measurement period while TMY averages it out over the year.
Meteonorm is a commercial source for availing future climate data. There could be other services available depending on the region.