Larkfleet Homes wants to build the house on Southfield Business Park, in Falcon Way, where it will be used to show and educate developers and Registered Social Landlords on what products are available to help with systems, including thermal efficiency.
Larkfleet is seeking South Kesteven District Council's approval.
Its planning application explains the property will show how it is possible to meet the Government's code for sustainable homes and the timber- framed property will feature green systems, including rainwater harvesting and solar panels.
The plans say: "The project will be used to help educate developers and Registered Social Landlords on what products are available and their impact in terms of design and how the property will perform in terms of thermal efficiency, reducing the carbon footprint."
It adds the two-storey house will be a standard Larkfleet-style house but will never be used as a dwelling.

Barnsdale Lodge Hotel, Exton, has joined a collection that includes some of the most characterful, stylish and historic inns in the country.
The Great Inns of Britain has 21 members, and membership is by invitation only from the existing members.
Ed Burrows, managing director of Barnsdale Lodge Hotel, said: "It is a great honour to have been invited to join The Great Inns of Britain.
"The team are very proud to sit alongside such a unique group of inns and believe that Barnsdale Lodge will complement the collection."

AN online business operating from a Bourne home is pulling in about 1,500 global internet visitors per day.
Mia Beauty was set-up about two years ago and is part-run by Maria Robson, of Coltsfoot Drive in Elsea Park, providing a range of cosmetics.
To find out more, go to www.miabeautyshop.com.