I had a very similar problem to this when my system was installed and received a lot of help from this forum the thread is here
http://www.electriciansforums.co.uk...ergy-forum/53090-correct-inverter-choice.html
Here is a picture of my shading.
View attachment 20971
In addition to the chimney I have shading of the bottom panels during winter from nearby trees.
You would have to read the thread to get all the details but the system performed very badly and we changed to SolarEdge.
I have been very pleased with the SolarEdge system. For me it seems to have been a very good solution. The extra cost was not that significant (this was installed when a 4Kw system cost 10-12K) You can also factor in the monitoring which is something you might might have to pay for with other systems.
What the monitoring does prove is how much is lost per panel due to shade, see image below which shows total output per panel since installation.
View attachment 20972
This shows that there is not much loss due to the shade with SE installed, before the loss was huge albeit on a poorly installed system.
The only downside for me has been trying to deal with SE as a consumer. They really don't want to deal with consumers and for this reason getting the monitoring setup was a nightmare. I still don't have full access so I am unable to update the tariff changes when they happen which is really disappointing. If you do go down the SE route make sure your installer is willing to register your system and update tariffs in the future because you cannot do this easily yourself.
Hope the above is useful.