RE: 6.4kWe: what if's22 Aug 2020 10:11
But what if the system efficiencies aren't so high?
Using the Align methodology:
@80%:
"Assuming a gas price of 2.25p/kWh and electricity price of 12p/kWh that means 77p (6.4kW x 12p) of electricity has been self-generated and 42p (15kW x 2.25p/kWh x1/80%) of heat, totaling 119p, on a total input bill of 60.2p (26.75kW x 2.25p), assuming the electricity and heat are consumed on site, so providing a saving of 119p – 60.2p = 58.8p"
A reduction of the saving per hour rate from 61.5p@92% efficiency to 58.8p@80% efficient isn't bad!
@65%:
"... 77p (6.4kW x 12p) ... 52p (15kW x 2.25p/kWh x1/65%) of heat, totaling 129p, on a total input bill of 74p (32.9kW x 2.25p) ... so providing a saving of 129p – 74p = 55p"
That's higher than I expected.
@50%:
"... 77p (6.4kW x 12p) ... 67.5p (15kW x 2.25p/kWh x1/50%) of heat, totaling 144.5p, on a total input bill of 96.3p (42.8kW x 2.25p) ... so providing a saving of 144.5p – 96.3p = 48p"
So is that!
@33%:
"... 77p (6.4kW x 12p) ... 102p (15kW x 2.25p/kWh x1/33%) of heat, totaling 179p, on a total input bill of 145.9p (64.8kW x 2.25p) ... so providing a saving of 179p – 145.9p = 33p"
That can't be right... In fact it's likely that the Align methodology isn't valid for lower efficiencies. In fact the more closely I look at the formula, the more I question the use of the system efficiency in the heat component of the thermal energy produced. I think it might be reasonable for comparison purposes to include the efficiency of none electricity producing boilers, in which case 92% should have been used in all of the above calculations:
With it completely removed:
@92%
"... 77p (6.4kW x 12p) ... 33.8p (15kW x 2.25p/kWh) of heat, totaling 110.8p, on a total input bill of 52.5p (23.3kW x 2.25p) ... so providing a saving of 110.8p – 52.5p = 58.3p."
@80%:
"... 77p (6.4kW x 12p) ... 33.8p (15kW x 2.25p/kWh) of heat, totaling 110.8p, on a total input bill of 60.2p (26.75kW x 2.25p) ... so providing a saving of 110.8p – 60.2p = 50.6p"
@65%:
"... 77p (6.4kW x 12p) ... 33.8p (15kW x 2.25p/kWh) of heat, totaling 110.8p, on a total input bill of 74p (32.9kW x 2.25p) ... so providing a saving of 110.8p – 74p = 36.8p"
@50%:
"... 77p (6.4kW x 12p) ... 33.8p (15kW x 2.25p/kWh) of heat, totaling 110.8p, on a total input bill of 96.3p (42.8kW x 2.25p) ... so providing a saving of 110.8p – 96.3p = 14.5p"
The total savings per hour are increased by around 3p if "33.8p (15kW x 2.25p/kWh)" is changed to "36.7p (15kW x 2.25p/kWh x1/92%) ".
In summary even if the system efficiencies are in the 65-80% range the savings per hour are sufficiently high to result in attractive payback times all else being equal. And @>90% efficiency the payback times are remarkable! I'll be impressed if the 6.4kWe model has a system efficiency greater than 80%, and very impressed if greater than 90%. And if >95% !!!!? ;-)
Ob.