Could someone please explain to me how somthing can be more than 100% efficient without allowing people to use its output to power the device for free?
A heat pump doesn't CREATE heat. If it did it could never have more than 100% efficiency. A heat pump MOVES heat. There is significant heat outside the home. Even in 0C air there is thermal energy. The only temp that has no thermal energy is absolute zero.
If a heat pump burned fuel or turned electricity into heat via resistance its max efficiency would be 100%. You can't get more heat/energy than what existed in the fuel/electricity to begin with.
However as a pump it can pump in huge amounts of outside energy for a small amount of energy and thus achieve >100% efficiency.
The theoretical max efficiency for a heat pump varies by the difference is desired source (outside) & sink (inside) temperatures. For 10C outside and 35C inside is ~1200%. The highest efficiency units available for purchase are ~500%.
As energy becomes more scarce/expensive expect heat pumps to replace furnaces. With technology we potentially could have 600%, 750%, 800% efficiency heat pumps someday. A furnace simply can never be more than 100% efficient (due to law of conservation of energy).
As for why couldn't you use that energy to power the device. the thermal energy in your house is not very concentrated. The less concentrated an energy form is the more difficult it is to convert into another form. For example a thermalcouple can directly convert heat into electricity but it is usually less than 1% efficient. For 100 units of heat energy = 1 unit of electrical energy.
BTW:
Air conditioners, refrigerators, freezers are all heat pumps they are simply one way heat pumps. A residential "heat pump" can pump heat into or out of the house.
uh yeah people have seem to forgotten the law of conservation of energy..
Some people don't understand the law of conservation of energy.
If you have 100 units of energy outside the home and 10 units inside and I move 20 of those units inside via a "pump" (a energy/heat pump) then the end state is 90 units of energy outside and 20 inside. No energy was created or destroyed. Energy was simply moved.