The above calculations show why a higher COP/SCOP is beneficial. You get more heat out for the same amount of electricity you put in.
Let’s look at this another way with a table.
We’ve got a variety of heat sources down the left hand side of the table
- Gas Boiler at 85% efficiency
- Heat pump at 280% efficiency (the bare minimum allowed under the current boiler upgrade scheme)
- Heat pump at 350% efficiency
- Heat pump at 400% efficiency
- Heat pump at 450% efficiency
And also a variety of fuel prices (per unit kWh) across the top headings
- Gas at 6.89p (October 2023 price cap)
- Electricity at 10p (perhaps you’ve got big batteries, a solar install, a Time of Use tariff and a Ripple investment)
- Electricity at 15p (Perhaps you just have solar)
- Electricity at 20p (Maybe just a Time of use or smart tariff)
- Electricity at 27.35p (October 2023 price cap)
The prices listed within the table show where the two elements meet.
Ie, a 350% efficient heat pump and electricity at 20p would cost £631 per year to run.
Efficiency | Annual SCOP | Fuel Bought (kWh) | Heat Output (kWh) | Gas (6.89p) | Electric (10p) | Electric (15p) | Electric (20p) | Electric (27.35p) |
85% Gas Boiler | 0.85 | 13000 | 11050 | £896 | n/a | n/a | n/a | n/a |
280% Heat Pump | 2.8 | 3946 | 11050 | n/a | £395 | £592 | £789 | £1,079 |
350% Heat Pump | 3.5 | 3157 | 11050 | n/a | £316 | £474 | £631 | £863 |
400% Heat Pump | 4.0 | 2763 | 11050 | n/a | £276 | £414 | £553 | £756 |
450% Heat Pump | 4.5 | 2456 | 11050 | n/a | £246 | £368 | £491 | £672 |
Note: 11,050 kWh of heat is the amount I needed to keep my 1930 semi detached house to 20C inside and heat our 250L water cylinder across the whole of last year.
Our house is 90 sqm with a measured heat loss at 4.1 kW per hour when -3C outside.
More details about my property here:
My 5kW Vaillant Arotherm Heat Pump
If your house is bigger (or smaller), just adjust the table in line with your own fuel bought / heat output.
A recap on the daily calculation:
- (Gas Bought x Boiler efficiency) / SCOP = electricity required
- (11,800 kWh x 0.85) / 3.5 = 2,866 kWh
And the yearly calculation:
- Annual Gas Bought x unit rate = gas cost (11,800 kWh x 6.89p = £813)
- Electricity required x unit rate = electricity cost (2,866 kWh x 27.39p = £785)
As you can see from the chart, the only way you’d pay more than gas with a heat pump is if it was a pretty terrible install and got just 2.8 SCOP, and at the same time you were paying the maximum price for your electricity.
In every other scenario the running costs of a heat pump would be less than gas.