Still trying to make the numbers work for a heat pump

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Our deemed heat usage on the EPC is about 13k heat and 2.5k hot water. Our actual usage (high efficiency Gas boiler) is about 17k heat (we heat 24/7) and 14k hot water (we like to keep clean). This means that what we can get form the RHI is much lower than the cost of installing a GSHP or ASHP.
However we can probably get up to 10k from the Green Home Grant.
So I am thinking for 10k could we get a system that did the space heating whilst leaving the hot water heating to gas.
My understanding is that DHW heating using a heat pump is particularly inefficient due to having to achieve higher water temperatures.
So what are the ASHP options?
How about air to air? Is this covered by the green home grant - there is no mention of it not being covered unlike the RHI. How does a typical air to air system work? Do you have a single compressor and then a refrigerant circuit to multiple heat emitters? Presumably it has the advantage or providing cooling too. Are the SCOP better for air to air than air to water? What values could be expected? Presumably air to air gets round any problems with undersized rads (which could even be removed to increase interior space?
alternatively how about air to water? What size system would be need to provide this sort of annual level of heat? Could this be installed for 10K all in?
Thanks for your thoughts
However we can probably get up to 10k from the Green Home Grant.
So I am thinking for 10k could we get a system that did the space heating whilst leaving the hot water heating to gas.
My understanding is that DHW heating using a heat pump is particularly inefficient due to having to achieve higher water temperatures.
So what are the ASHP options?
How about air to air? Is this covered by the green home grant - there is no mention of it not being covered unlike the RHI. How does a typical air to air system work? Do you have a single compressor and then a refrigerant circuit to multiple heat emitters? Presumably it has the advantage or providing cooling too. Are the SCOP better for air to air than air to water? What values could be expected? Presumably air to air gets round any problems with undersized rads (which could even be removed to increase interior space?
alternatively how about air to water? What size system would be need to provide this sort of annual level of heat? Could this be installed for 10K all in?
Thanks for your thoughts
I think....
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this may help you a bit.
https://www.homeheatingguide.co.uk/renewables-advice/air-source-heat-pumps-a-sizing-guide
I can't find little info on air to air heat pumps, probably because they were not eligible for rhi so are not very common in the UK.. I think some on here may have experience?
There is no clarity (no info at all on) on whether air to air might come under the green home grant.
https://www.simpleenergyadvice.org.uk/measures/meta_air_source_heat_pump
Paragraph 6 of 'What is is?'
Hence wondering whether it might be possible to get an air to air which has a reasonable scop and provides AC as well and keeping the gas boiler for hot water.
So I'm just guessing that the green grant would have similar strings, or are you saying you might be able to get an exemption (or something) from the EPC estimate?
Just a thought, and might not work in the UK, but could you use one (or three) heat pump hot water cylinders and locate them in a semi-vented structure like a garage? This probably makes no sense, and I'm thinking of loads of problems, but happy to think out loud and look a bit stupid? I think this is done in the US, but probably in states which have, compared to the UK, higher average air temps.
For general PV advice please see the PV FAQ thread on the Green & Ethical Board.