4.3.3 Chapter 4. Design Page 6 of 18
4.3.3
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4.3.3.1.3 Target U-value Method for new dwellings
The Target U-value Method gives more flexibility than the Elemental Method in selecting areas of windows doors and roof lights and in the insulation levels of different elements of the building envelope for the design of new dwellings. It can be used for any heating system and can take solar gain into account.

A dwelling complies by the Target U-value Method if the Target U-value is not less than the average U-value, where the average U-value is defined as the areaweighted average U-value of all exposed elements of the dwelling. Exposed elements include walls, roofs, floors, windows and doors, including elements
adjacent to unheated spaces.

The Target U-value ( UT) may be calculated using the equation:

UT = [0.35 – 0.19(AR / AT) – 0.10(AGF / AT) + 0.413(AF / AT)]

where UTis the Target U-value prior to any adjustment for heating system performance or solar gain, ARis the exposed roof area, AGFis the ground floor area, AFis the total floor area (all storeys) and ATis the total area of exposed elements of the dwelling (including the ground floor).

If appropriate a solar gain term may be added S = 0.4[(AS – AN / ATG]

Where:
AS = area of glazed openings south facing
AN = area of glazed openings north facing
ATG = total of all glazed openings in the building

Suppose the wall construction is to be a cavity wall with a brick outer leaf, a cavity partially filled with 17mm of Celotex and a 115mm Aircrete inner leaf finished with 13mm dense plaster internally. It has a U- value of 0.4 W/mK, higher (ie. poorer) than would be required in the Elemental Method but the designer wishes to use it.

The U-values of the remainder of the elements are as in the following table. The heating system based on a gas boiler with an efficiency of 85%. The area of windows and doors is equal to 25% of the total internal floor area.

The total area of North-facing glazed openings is 6.82m and the total area of South-facing glazed openings is 8.88m.

The average U-value = 100.94/191.3 = 0.528

The Target U-value is
UT = [0.35 – 0.19(44.4/191.3) – 0.10(44.4/191.3) + 0.413(88.8/191.3)]
= 0.474 W/mK

which is multiplied by fe, the ratio of proposed boiler SEDBUK divided by reference boiler SEDBUK (which is 78% for heating by mains gas), giving a Target
U-value of
UT x fe = 0.474 x (85% / 78%) = 0.517 W/mK

Since the average U-value is slightly greater (worse) than the target U-value modifications should be made to the design by reducing the average U-value or increasing the Target U-value (or both).

As alternatives to changing the wall construction, some ways of modifying the proposed design to use the proposed Aircrete wall construction and comply with
the Target U-value are:

a) Using a higher performance heating system and adding solar gain
A boiler efficiency of 88% of the value of fe, the ratio of proposed efficiency to base efficiency, increases the Target U-value above the average U-value.

Since the area of glazed openings on South elevations exceeds that of the North, the benefit of solar heat gains can be taken into account to ease the target U-value by adding ?S to the target U-value.

Final Target U-value

UT = [0.474 x (88% / 78%)] + 0.04 x [(8.88 - 6.82) / 18.4]
= 0.539 W/mK

Since the final Target U-value, 0.539 W/mK, is greater than the average U-value, 0.528 W/mK, compliance with the Target U-value Method is achieved.

or
b) Reducing the U-value of the roof
Reducing the U-value of the roof from the standard elemental U-value of 0.20
W/mK to 0.15 W/mK reduces the average U-value by
[44.4 x (0.20 – 0.15) / 191.3], i.e. by 0.011 W/mK.
This reduces the average U-value to less than the Target U-value and satisfies the Target U-value requirement.

Final Average U-value = 0.528 – 0.011 = 0.517 W/mK

A similar result could be obtained by reducing the U-value of the ground floor

or
c) Reducing the total area of the windows and doors
Reducing the total area of windows and doors from 25% of the floor area to 19% of the floor area reduces the average U-value by

(6% of 88.8) x (2.2 – 0.40) / 191.3, i.e. 0.050 W/mK.

This reduces the average U-value to well below the Target U-value.
Final Average U-value = 0.528 – 0.050 = 0.478 W/mK

or
d) Using insulated doors and reducing the area of the windows
Doors with a U-value of 1.9 W/m2K instead of 2.2 W/mK reduce the average U-value by (2.2 – 1.9) x 3.8 / 191.3, i.e. 0.006 W/mK. This is not sufficient on its own to reduce the average U-value to below the Target U-value. If, however, the total window area is also reduced by 20% the average U-value falls by an additional amount equal to (20% of 18.4) x (2.2 – 0.40) / 191.3 = 0.035 W/mKand the dwelling satisfies the Target U-value Method.

Final Average U-value = 0.528 – 0.006 – 0.035 = 0.487 W/mK
Since the final average U-value, 0.487 W/mK, is less than the final Target Uvalue, 0.521 W/mK, compliance with the Target U-value Method is achieved.

e) Specifying windows with lower U-value

Using windows with a U-value of 1.7 W/mK instead of 2.2 W/mK will reduce the average U-value by [(2.2 – 1.7) x 18.4 / 191.3], or 0.048 W/m2K. This is sufficient to reduce the average U-value to below the Target U-value. Reducing the
window U-value to 1.7 W/m2K is therefore sufficient to achieve compliance.

Final Average U-value = 0.528 – 0.048 = 0.480 W/mK

Since the final average U-value, 0.480 W/mK, is less than the final Target Uvalue, 0.521 W/mK, compliance with the Target U-value Method is achieved.
 
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