It depends. There are two broad types of credits: Residential Energy Efficient Property Credit and the Non-Business Energy Property Credit. Each is unique, with its own set of rules & requirements.
Since you mentioned that this was new construction, that eliminates the Non-Business credit, since that's exclusively for existing homes (not new construction).
The Residential credit is a possibility, but only if the electricity is generated by solar power or fuel cell power. The credit is also available for small wind energy systems and geothermal heat pumps.
Here's a link to the instructions for IRS form 5695, which discusses all aspects of these credits: https://www.irs.gov/pub/irs-pdf/i5695.pdf
