No, nothing on a personal residence that isn't used for a business can be depreciated.
If you were to go into a business for providing electricity using your solar panels then you could deduct depreciation as well as any relevant expenses. As the current IRS regulations are set up, though, the payments that you receive are entered as "other income" on the 1040 and are not subject to self-employment tax.
This is an article about a lot of the aspects of residential solar panels and their taxable attributes.
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