uk; rainwater harvesting systems for communal buildings - bradford university
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A Whole Life Costing Approach for Rainwater Harvesting SystemsRichard Roebuck PhD, Bradford University
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7.0 Rainwater Harvesting Systems for Communal Buildings
7.1 Introduction
This chapter investigates the water saving reliability and financial performance
of a potential RWH system for a proposed school building. This building type
was selected as it has significantly different characteristics from those in the
domestic studies in terms of occupancy, water usage patterns and roof area.
The previous chapter demonstrated that domestic rainwater systems are not
cost effective. It was considered possible that installations in larger buildings
may perform better financially but this required further investigation.
The building in question was a proposed mixed junior and infants school with an
estimated population of 680 pupils and staff (340 male, 340 female). The facility
was been designed by a Local Authority (LA) who provided details of the
building upon request. Discussion with the LA revealed that, although no RWH
system was planned in this instance, they were not opposed in principal to the
installation of such water saving technology. However, it was stated that the
health and safety of the pupils was paramount and that if such a system was to
be installed then uses would be limited to low-risk applications such as toilet
flushing and that the inclusion of a UV unit would be preferred. For these
reasons the selected applications were limited to WC and urinal flushing and
the use of a UV unit was assumed.
A RWH system supplier was contacted1 and asked for information and advice
on a suitable approach. The use of an indirect system with an in-building header
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tank was recommended (see chapter two, section 2.4.1). Other relevant
information is shown in tables 7.1-7.3. All prices are for the 2007 period and
include VAT. Note that the water demand figures shown in table 7.1 were based
on the system suppliers own estimation methods.
Table 7.1 Estimation of term time daily water demand
Parameter Item Value
Occupancy details Number of males 340Number of females 340
W.C. flushing Volume per flush (litres) 6.0% of males who visit W.C. per day 30%Number of visits per day for above 1% of females who visit W.C. per day 100%Number of visits per day for above 3
Urinal flushing Volume per flush (litres) 7.5Number of urinal ranges 10Operating time (hrs/day) 8.0Number of hours between flushes 0.5
This gave an estimated total daily water demand for WC and urinal flushing of
7.9m3/day. This figure was used for the term-time period, Mondays to Fridays. It
was assumed that no water use occurred during weekends or school holidays.
This gave an annual water demand of 1,547m3.
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Table 7.2 Key RWH system and building components
Component Value(s) Comments
Rainfall Daily rainfall data forEmley Moor weatherstation
Adapted for UKCIP (2000b) medium-high emissions climate change scenario
Catchmentsurface
Roof plan area: 1,845m2
Runoff coefficient: 0.90
Initial losses: 0.25mm
Roof material: pitched roof tiles
See table 3.2. High value used becauseinitial losses also taken into account
See table 3.3 and also Fewkes (1999a)First flushdevice
No first flush device Use of first flush devices is limited in theUK
Coarse filter Coarse filter coefficient:0.90
Commonly applied value. See table 3.5
Storage tank Initial degree of filling:
100%
Top-up location: in-building header tank
During commissioning and testing the
tank is filled to capacity
Assumes indirect RWH system used,see chapter 2, section 2.4.1
Pump Power rating: 1.0kWPumping capacity: 55l/min
See table 3.6
UV unit Power rating: 55W KMC required UV unit in order tominimise perceived health and safetyrisks. See chapter 2, sections 2.5.6 and2.6
Water and
seweragecharges
Supply charges:
1.09/m3
for 2007-08period, increasing yearly
Sewerage charges:1.17/m3 for 2007-08period, increasing yearly
Annual increase estimated using
regression analysis of historic YorkshireWater price data, see chapter 4, section4.7.5 and appendix two
See chapter 4, section 4.7.5 andappendix two
Electricitycharges
Unit charge: 8.7p/kWhrfor 2007, increasingyearly
Annual increase estimated usingregression analysis of average historicdata, see chapter 4, section 4.7.5 andappendix two
Decom. costs Assumed zero System assumed to be decommissioned
at same time as rest of building.Associated costs likely to small part oftotal decommissioning expenses
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Table 7.3 Maintenance activities and costs for school RWH system
MaintenanceItem
Value (inc. VAT) Comments
Annual
maintenancecontractoffered bysystemsupplier
250/year for contract
UV unit: supply and installreplacement bulb once peryear, 60
UV unit: supply and installcartridge filters every 6months, 60
Annual site visit by engineer who will:
check and clean filters, check pumpand repair/replace as required at noextra charge, replace othercomponents at no extra charge ifmade available
Componentreplacement
Storage tank: assumed willremain functional for selectedanalysis time horizon
Coarse filter: replace every15 years, 2,450 + 50installation fee = 2,500
Electronic controls, replaceevery 15 years, 140 + 50installation fee = 190
Plastic pipes (internal),replace every 35 years, totalcost (parts + labour) = 500
Replace mains top-upsolenoid valve every 7.5years, 175 + 50 installationfee = 225
Replace mains top-up levelswitch in header tank every12.5 years, 20 + 50installation fee = 70
UV unit replacement every
10 years, 840 + 50installation fee = 890
For all items in this section: seechapter 4, section 4.7.4 and appendixtwo. Note that complete componentreplacement was assumed, not
repair, as cannot be sure repair willbe possible (e.g. specific componentsmay not be manufactured in thefuture)
KMC QS estimate
Component purchase and delivery to site cost data for fifteen different tank
sizes were obtained from a number of RWH system suppliers. Installation costs
were estimated by the LA. Further information on how these were derived is
available in appendix four. Estimated total capital costs for each tank size are
presented in table 7.4.
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Table 7.4 Capital cost estimates for school RWH systems
Tank size (m3) Capital cost () Tank size (m3) Capital cost ()3.0 9,792 15.0 12,0485.0 10,285 18.0 11,695
6.0 10,074 22.5 12,3887.0 10,544 27.5 13,0469.0 10,873 36.0 14,36211.0 11,213 45.0 15,67812.0 10,967 54.0 16,97113.0 11,601
The LA predicted that the operational life of the building would be at least 50
years and so this was used as the discount period. Discount rates of 3.5%, 5%,
10% and 15% were investigated. LAs would normally employ discounts rates
towards the lower end of this spectrum, however the higher rates were included
in order to maintain consistency with the domestic RWH system studies from
the previous chapter.
7.2 Analysis stage 1: determine optimum tank size
Analysis of the system was conducted using the thesis model described in
chapter five and was conducted in two stages. First, the coarse hydrological
and financial performance of each of the fifteen tanks shown in table 7.4 was
assessed. The results from this were used to select the most appropriate tank
size which was then taken forward for a more detailed study. Results from the
preliminary analysis are shown in figures 7.1 and 7.2.
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Figure 7.1 Predicted hydrological performance of various tank sizes
0
25
50
75
100
0.01 0.1 1 10 100 1000
Tank size (m3)
%demandmet
= tank sizes included
in school case study
Figure 7.2 Predicted financial performance of school RWH systems over
50 year period
-20,000
-15,000
-10,000
-5,000
0
5,000
10,000
15,000
20,000
25,000
30,000
0 10 20 30 40 50 60
Tank size (m3)
RWHsystemsavings()
r = 3.5%
r = 5%
r = 10%
r = 15%
3.5%
5%
10%
15%
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The hydrological results showed that the maximum percentage of demand that
could be met was approximately 71% although this would have required a very
large tank size. For the capacities assessed the volumetric reliability ranged
between 12% (3m3) and 57% (54m3). The discount rate was found to
significantly influence the financial savings achievable. For higher rates (10%
and 15%) most systems showed a financial loss with a limited number showing
a small financial gain. For the lower discount rates (3.5% and 5%) the smaller
systems (3-11m3) showed a loss whilst the larger ones (12-54m3) showed net
benefits. At the lower discount rates, increasing system capacity was correlated
with increasing savings, although the rate of improvement showed diminishing
returns as tank size increased.
A decision had to be made as to which tank size to take forward for the more
detailed analysis. The 54m3 tank was selected for the following reasons:
It showed the best water saving reliability in terms of the percentage of
non-potable demand met (57%).
With the lower discount rates (3.5% and 5%) it was the best financially
performing tank of those for which data was available.
Larger tank sizes may have benefits in terms of peak flow reduction in
the downstream drainage network. Although this is not explicitly
considered here it is a possible benefit.
Further, institutions such as LAs are likely to use lower discount rates since
they are required to consider the wider impacts of their actions both spatially
and temporally, e.g. due to policies such as Local Agenda 21 initiatives. For
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public sector works Central Government recommends a declining discount rate
of 3.5% (HM Treasury, 2003). When society is the stakeholder then discount
rates in the range of 2-4% are commonly used (Ashley et al, 2004; Herrington,
2006). On this basis the selection of the 54m3 tank was the logical choice since
it showed the best overall performance when lower discount rates were
employed.
7.3 Analysis stage 2: detailed analysis of selected tank
Details of the 54m3 tank were input into the detailed analysis module of the
thesis model. The simulation was run using discount rates of 3.5%, 5%, 10%
and 15%. WLC, AIC and financial savings results are shown in tables 7.5-7.6
and figure 7.3. Note that in figure 7.3 the RWH system savings at n = 5, 10 and
25 years have been also been marked on the graph.
Table 7.5 WLC results for school case study (n=50 years)
Discount rate (%) RWH WLC () Mains-only WLC () RWH savings ()3.5 80,606 104,621 24,0155.0 65,095 79,535 14,440
10.0 42,142 42,438 29615.0 33,639 28,776 -4,917
Table 7.6 AIC results for school case study (n=50 years)
Discount rate RWH AICs (/m3) Mains AICs (/m3) Ratio RWH/Mains1
3.5% 1.04 1.35 0.775% 0.84 1.03 0.82
10% 0.54 0.55 0.9915% 0.44 0.37 1.17
1Ratios < 1 show that the RWH system was more cost effective than the equivalentmains-only system
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Figure 7.3 RWH system savings for school case study (n=50 years)
-20,000
-15,000
-10,000
-5,000
0
5,000
10,000
15,000
20,000
25,000
0 5 10 15 20 25 30 35 40 45 50
Year
RWHsystemsavings()
r = 3.5% r = 5% r = 10% r = 15%
15%
10%
5%
3.5%24,015
14,440
296
-4,917
-9,004
-9,235
-9,916
-10,485
-3,998
-4,674
-6,532
-7,932
9,889
6,245
-1,374
-5,314
Figure 7.3 shows a general trend of increasing year-by-year savings although
this pattern was occasionally reversed due to maintenance requirements.
However, the overall magnitude of the savings was greater than the associated
operating/maintenance costs. Despite this, for the high discount rate of 15% the
system still incurred a loss because the present value of future savings were
relatively quickly attenuated to very low values. For a rate of 10% the system
just reached the breakeven point before the gradient of the graph effectively
became zero. For the lower rates of 3.5% and 5% the attenuation effect was
much less pronounced and in these instances payback was achieved in 15 and
16 years respectively. These results emphasise that in this particular instance
the choice of discount rate was of paramount importance in terms of the
perceived financial performance.
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From the information presented it can be seen that, for the school system:
The selected discount period had a large influence on the perceived
RWH system savings. Shorter periods would have resulted in diminished
savings or even net losses for potentially profitable systems.
The variation in predicted savings between different discount rates
increased as the discount period increased.
Lower discount rates resulted in greater system savings.
At lower discount rates the system is profitable, unlike the domestic
systems in chapter six which all showed a financial loss.
7.4 Detailed breakdown of costs
The relative contribution of a number of key cost items to RWH system WLCs
were determined. The cost elements consisted of capital, maintenance, UV
operation, pump operation and mains top-up costs. Discount rates of 3.5%, 5%,
10% and 15% were assessed. All other parameters were as shown in tables
7.1-7.3. Figures 7.4 and 7.5 show the comparative results from the four
simulations. Table 7.7 presents the same data as figure 7.5 in numerical form.
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Figure 7.4 Percentage contribution to school RWH system WLCs of
various key cost elements
0%
20%
40%
60%
80%
100%
1 2 3 4
Discount rate (%)
%contributiontoRWHWLC
Capital
Maintenance
UV op.
Pump op.
Mains top-up
3.5% 5% 10% 15%
Figure 7.5 Percentage contribution to total maintenance costs of
individual maintenance items
0%
20%
40%
60%
80%
100%
1 2 3 4
Discount rate (%)
%contributiontomaintenancecosts Item 1
Item 2
Item 3
Item 4
Item 5Item 6
Item 7
Item 8
Item 9
3.5% 5% 10% 15%
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Table 7.7 Tabulated maintenance data from figure 7.5
ItemNo. Description
Low cost(@NPV)
High cost(@NPV)
Low cost(%)
High cost(%)
1 Annual maintenance contract 1,915 6,124 36.9 45.4
2 Replace UV unit bulb 460 1,470 8.9 10.93 Replace UV unit cartridge filters 919 2,939 17.7 21.8
4 Replace coarse filter unit 402 3,055 9.5 18.4
5 Replace electronic control unit 31 232 0.7 1.4
6 Replace internal plastic pipes 4 158 0.1 1.0
7 Replace mains top-up solenoid valve 132 623 3.1 3.8
8 Replace mains top-up level switch 16 111 0.4 0.7
9 Replace UV unit 336 1,868 8.0 11.3
Figure 7.4 shows that the capital, maintenance and mains top-up costs
accounted for the majority of the WLCs in all cases. The proportional
contribution of each varied as the discount rate was changed. Higher discount
rates placed more emphasis on the capital costs, which was not unexpected
since higher rates have the effect of increasing the relative contribution of near-
term expenditures. Capital costs accounted for between 21-50% of the WLCs.
Maintenance, UV operating, pump operating and mains top-up costs displayed
the opposite trend and had greater effect on system WLCs with lower discount
rates. This was also not unexpected since lower rates increase the relative
contribution of expenditures that occur in the future. Maintenance activities
accounted for between 13-21% of the WLCs and mains top-up for between 35-
55%. UV operating and pump operating (electricity) costs accounted for only a
minor proportion at between 1.2-2.1% and 0.7-1.2% of the WLCs respectively.
Figure 7.5 and table 7.7 show the relative contribution of each maintenance
activity to the total maintenance cost. The annual maintenance contract was the
most expensive single item at between 37-45% of total costs. Replacement of
the UV unit cartridge filters was second highest with a cost contribution in the
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range of 18-22%. Replacement of the coarse filter unit was next at between 10-
18%, then UV bulb (9-11%) and UV unit itself (8-11%). The remaining items
accounted for a relatively minor proportion of the costs. These consisted of the
replacement of the mains top-up solenoid valve (3-4%), electronic control unit
(0.7-1.4%), internal plastic pipes (0.1-1.0%) and mains top-up level switch (0.4-
0.7%).
Variations in the discount rate had some degree of influence on the relative
contribution of each maintenance item but in most cases this was not
particularly large. It was noticed that higher rates tended to give more weight to
maintenance items that occurred on a regular basis (e.g. yearly maintenance
contract, replacement of UV bulb and filters) and less weight to those that
occurred irregularly, for instance replacement of the coarse filter and UV units.
7.5 Sensitivity analysis of financial results
A sensitivity analysis of the proposed RWH system was conducted. Sensitivity
to changes in eight key parameters were investigated. The selected parameters
were daily rainfall depth, capital cost, maintenance costs, mains water supply
and sewerage charges, roof area, discount period, water demand and the
storage operating parameter . Variations in each batch of key parameters were
analysed in conjunction with discount rates of 3.5%, 5%, 10% and 15%.
Percentage changes to RWH system savings (the difference between mains-
only WLCs and RWH WLCs) were selected as the method for assessing
sensitivity as this was deemed to be the key parameter in judging the financial
success (or otherwise) of the modelled system.
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Changes to parameter values in the range of 100% were investigated where
possible. Exceptions were changes to the storage operating parameter , which
was varied between 0-1 in 0.1 increments, and changes to the discount period
which for obvious reasons could not be reduced by as much as 100%. To
enable the percentage changes in RWH system savings to be placed in context,
the original savings associated with each discount rate were as follows (from
section 7.3):
r = 3.5%, savings = 24,015.
r = 5%, savings = 14,440.
r = 10%, savings = 296.
r = 15%, savings = -4,917.
Figures 7.6-7.10 show the sensitivity analysis results for the four discount rate
scenarios. Note that on the graphs the label SupSew Charges refers to mains
supply and sewage volumetric charges, not mains standing charges.
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Figure 7.6 School sensitivity analysis results, r = 3.5%
-300%
-200%
-100%
0%
100%
200%
300%
-100% -50% 0% 50% 100%
% change in parameter
%
changeinsavings()
Rainfall
CapCosts
Maintenance
SupSewCharges
RoofArea
DiscountPeriod
WaterDemand
Rainfall
CapCosts
Maintenance
SupSew Charges
RoofArea
Discount Period
Water Demand
Figure 7.7 School sensitivity analysis results, r = 5%
-400%
-300%
-200%
-100%
0%
100%
200%
300%
400%
-100% -50% 0% 50% 100%
% change in parameter
%changeinsav
ings()
Rainfall
CapCosts
Maintenance
SupSewCharges
RoofArea
DiscountPeriod
WaterDemand
Rainfall
CapCosts
Maintenance
SupSew Charges
RoofArea
Discount Period
Water Demand
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Figure 7.8 School sensitivity analysis results, r = 10%
-10000%
-8000%
-6000%
-4000%
-2000%
0%
2000%
4000%
6000%
8000%
10000%
-100% -50% 0% 50% 100%
% change in parameter
%
changeinsavings()
Rainfall
CapCosts
Maintenance
SupSewCharges
RoofArea
DiscountPeriod
WaterDemand
Rainfall
CapCosts
Maintenance
SupSew Charges
RoofArea
Discount Period
Water
Demand
Figure 7.9 School sensitivity analysis results, r = 15%
-400%
-300%
-200%
-100%
0%
100%
200%
300%
400%
-100% -50% 0% 50% 100%
% change in parameter
%changeinsav
ings()
Rainfall
CapCosts
Maintenance
SupSewCharges
RoofArea
DiscountPeriod
WaterDemand
Rainfall
CapCosts
Maintenance
SupSew Charges
RoofArea
Discount Period
Water
Demand
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Figure 7.10 School sensitivity analysis results for changes in storage
operating parameter (YAS/YBS algorithm)
0%
3%
6%
9%
0.0 0.2 0.4 0.6 0.8 1.0
value
%changein
savings()from
=0
0%
50%
100%
150%
200%
250%
r = 15%
r = 5%
r = 3.5%
r = 10%
3.5%
5%
10%
15%
= 0, YAS
= 1, YBS
Note: secondary y-axis (right hand side)
refers to r = 10%. Primary y-axis (left hand
side) refers to r = 3.5%, 5% and 15%
%changeinsavings
()from
=0
In figure 7.8 the percentage changes in RWH system savings were much larger
than for the other discount rates. This was due to the fact that the savings were
relatively small at 296 over 50 years. Therefore even small absolutechanges
in this figure resulted in large percentagechanges. This needs to be borne in
mind when comparing the results from this graph to those in figures 7.6, 7.7 and
7.9.
Examination of sensitivity analysis results
Investigation of the results showed that not all of the relationships were linear in
nature. The sensitivity of RWH system savings to changes in rainfall depth, roof
area, discount period, water demand and value displayed an exponential
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decay type relationship (increasing form). For the discount rate and water
demand the rate of change was relatively small for variations in the range of
-50% to +100%, suggesting relative insensitivity to these two parameters for all
but large negative changes. Variation in RWH system savings showed a linear
relationship with changes in capital and maintenance costs. The slope of the
corresponding lines was negative, showing that as capital and maintenance
costs decreased the RWH system savings increased. Sensitivity to changes in
mains supply and sewerage charges was also linear although in this instance
the gradient of the line was positive, indicating that the RWH system became
more cost effective relative to the mains-only system as the cost of mains water
increased.
With one exception, in figures 7.6-7.9 the slopes of the lines were similar
between the different discount rate scenarios. This indicated that the relative
sensitivity of RWH system savings to changes in the selected parameters was
generally similar despite variations in the discount rate.
The exception to this general trend was the capital costs, which displayed an
increasingly negative gradient the more the discount rate increased. This
indicated an increasing sensitivity (in terms of RWH system savings) to changes
in capital costs at higher discount rates. This can be explained by the fact that,
since they occurred in financial year zero, the capital costs had the same
present value regardless of the selected discount rate. By comparison, the other
parameters all had financial impacts that occurred at various stages during the
operational phase. Increasing the discount rate led to a reduction in the present
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value of these parameters, or reduced their financial impacts in the case of the
hydrological variants. This in turn led to reduced sensitivity in RWH system
savings to changes in these parameters. This manifested itself in the results as
increased sensitivity to capital costs, the only parameter not affected by
changing the discount rate.
Table 7.8 shows the gradients associated with each of the key parameters,
except for which is discussed in the following subsection. Note that for the
non-linear curves these results represent the average gradients. The steeper
the gradient the more sensitive RWH systems savings were to changes in that
particular parameter. Positive values show that the system savings increased
as the value of the corresponding parameter increased, whilst negative values
showed the opposite relationship (savings decreased as parameter value
increased). The maximum gradients (most sensitive) have been highlighted in
red.
Table 7.8 Sensitivity analysis results: parameter gradients
Discount rates and corresponding gradientsParameter 3.5% 5% 10% 15%
Rainfall depth 1.66 2.11 55.52 2.28Capital cost -0.71 -1.18 -57.42 -3.44Maint. costs -0.69 -0.87 -21.98 -0.86
Mains charges1 2.51 3.18 83.71 3.45Roof area 1.61 2.05 53.87 2.21
Discount period 0.97 0.93 14.99 0.45Water demand 1.15 1.46 38.58 1.59
1Mains supply and sewerage unit charges, not standing charges
The data shows that the RWH system savings were most sensitive to changes
in mains water supply and sewerage charges. The slope of the results was
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constant and positive, i.e. as mains charges increased there was a
corresponding linear increase in system savings. The results here are in sharp
contrast to those for domestic systems. For these, system savings were
typically very sensitive to changes in capital costs and relatively insensitive to
changes in the other parameters (with the exception of the LA/Government
stakeholder perspective). The results for the school case study show a higher
sensitivity to more parameters and there was no parameter to which system
savings were not sensitive (m0). Sensitivity to changes in capital costs were
still apparent, particularly at higher discount rates, but were less important than
in the domestic studies.
Increasing the discount period beyond 50 years made little difference in most
cases (slightly more for lower discount rates than for higher ones). Compare
this to the results from section 7.3 in which it was apparent that system savings
were highly sensitive to discount period variations in the range of 1-50 years,
especially at lower discount rates. With regards to the sensitivity analysis
results, the relative insensitivity for discount periods greater than 50 years
indicated that system savings were approaching the maximum that could be
achieved, particularly for the higher discount rates.
Given the high sensitivity of the system savings it can stated that accurately
predicting the long-term financial performance of RWH systems such as the one
modelled for the school case study is difficult. Even at low discount rates, such
as might be employed by public institutions, variations were large. For example,
at a discount rate of 3.5% changes in capital and maintenance costs of 50%
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resulted in variations in system savings of about 30%, or approximately
7,000. Changes in mains water costs resulted in even bigger swings. For
instance, with a 20% reduction in expected future mains prices the system
savings reduced from 24,015 to 11,963, a decrease of about 12,000.
Conversely, increasing future mains charges by 20% resulted in an increase in
the predicted savings of about 12,000. From data presented in chapter three it
can be seen that the price of mains water, although generally becoming more
expensive since privatisation of the industry in 1989, has tended to fluctuate in
price. The results presented here have shown that even relatively small
fluctuations can make significant differences to the perceived financial
performance of systems such as the one modelled for the school case study.
This needs to be borne in mind when using the predicted results to aid the
decision making process (i.e. whether or not to install the system).
Justification for using the YAS algorithm
From examination of figure 7.10 it can be seen that the percentage difference in
system savings predicted by the YAS and YBS algorithms were moderately
small for three of the selected discount rates and large for one. The smaller
differences corresponded to discount rates of 3.5%, 5% and 15%, which
showed percentage variations between YAS/YBS of 6.3%, 7.9% and 8.4%
respectively. The large difference corresponded to the use of a 10% discount
rate and the variation in system savings between the YAS/YBS algorithms was
204%. This latter result was primarily due to the fact that the predicted savings
were small. YAS predicted 296 over 50 years whilst YBS predicted 897 over
50 years, 601 more than in the former case.
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It is concluded that, whilst the school case study showed more variation
between YAS/YBS algorithms than did the domestic studies, the use of YAS
was still justified since the variations between the two approaches was
moderately small in monetary terms. This was especially true considering the
discount period employed. The noted differences in savings would be small on
an average per-year basis when distributed across 50 years.
7.6 Comparison of thesis results with RWH system suppliers method
Regarding the private sector company who supplied the water demand
estimation given previously in table 7.1, details were obtained of their in-house
design and assessment method for commercial systems such as that proposed
for the school building. A comparative study was then conducted between the
predicted RWH system performance using the suppliers method and the thesis
model.
The suppliers method was similar to that described in chapter six and appendix
two for the approach labelled Company 1 methodology. Hydrological
components explicitly considered consisted of the roof (plan) area, runoff
coefficient, coarse filter coefficient, average monthly rainfall for the region in
question and average monthly water demand (assumed same for all months).
Financial aspects consisted of savings on mains water bills and an assumption
that each cubic metre of harvested water supplied incurred an operating cost of
0.03/m3. No maintenance costs were included and no discounting techniques
were used (discount rate effectively zero).
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In order to maintain consistency between the system supplier and thesis
methods, the data for the hydrological elements was based on the information
collected for the thesis. Where necessary, the data was scaled and adjusted so
that it matched the characteristics of that required for the suppliers method, e.g.
daily data scaled to monthly data.
A spreadsheet was created that mimicked the suppliers method as outlined
previously. Further information and a statement of the assumptions used are
given in appendix four. The suppliers tank sizing method was based on
providing 6 days of average daily demand and this gave a recommended
capacity of 25.4m3. No tank size of this specific size was available on the
market and so the next largest was selected for which data was available. This
was a tank with a capacity of 27.5m3 and capital cost of 13,046. The
performance of this tank was then simulated using both the suppliers method
and the thesis model, using a zero discount rate in the former case and rates of
3.5%, 5%, 10% and 15% in the latter. Further, the suppliers approach assumed
no maintenance requirements. For the thesis simulations the maintenance
requirements where as given in table 7.3. Comparative results from the
modelling exercise are shown in figure 7.11 and table 7.9.
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Figure 7.11 Comparison of performance predicted by system suppliers
assessment method and thesis model
-15,000
-10,000
-5,000
0
5,000
10,000
15,000
20,000
0 10 20 30 40 50
Year
RW
Hsystemsavings()
r = 0% r = 15% r = 10% r = 5% r = 3.5% CapCost
Capital
expenditure
= 13,046
15%
10%
5%
3.5%
0% (supplier
method)
Savings =
119,304
17,652
10,515
1
-3,866
Table 7.9 Summary of results produced by system suppliers
assessment method and thesis model
MethodologyTank size
(m3)% demand
metAnnual
savings ()1Payback(years)
Total savingsover 50yrs2
System supplier 27.5 77.6 2,647 5 119,304Thesis, r = 3.5% 27.5 47.4 353 14 17,652Thesis, r = 5% 27.5 47.4 210 17 10,515
Thesis, r = 10% 27.5 47.4 0.02 50 1Thesis, r = 15% 27.5 47.4 -77.31 Never -3,8661Annual savings do not take into account repayment of capital cost expenditure, i.e.they are simply the difference between the annual running costs of the mains-onlysystem and the proposed RWH system2Calculation of total savings over 50 years included repayment of capital expenditure
From figure 7.11 it can be seen that the comparative financial results displayed
large differences. The suppliers method calculated the annual savings based
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on the volume of mains water substituted (minus 0.03/m3 for assumed
operating expenses) multiplied by the discount period of 50 years, then
subtracted the initial capital expenditure. Since no discount rate was applied,
the present value of the 2,647 annual savings were the same for all years.
Application of discounting techniques in situations such as this is correct since
consideration must be given to the opportunity cost of capital and it is a
shortcoming of the suppliers method that this was not done. Using the same
basic methodology but applying discount rates of 3.5%, 5%, 10% and 15% to
the cumulative 2,647/yr savings was found to give NPVs of 65,361, 50,970,
28,892 and 20,277. All of these are considerably lower than the result
obtained when no discount rate was applied (119,304).
For the thesis predictions, the predicted total savings over 50 years were also
significantly different. For discount rates of 3.5%, 5%, 10% and 15% the
predicted savings were 17,652, 10,515, 1 and -3,866. Payback periods
were given as 14, 17 and 50 years for discount rates of 3.5%, 5% and 10%
respectively, and no payback at all was achievable for the 15% rate. This
highlights the sensitivity of the results to the selected discount rate and the
importance in selecting an appropriate value.
The effect of assuming no maintenance requirements is also evident in figure
7.11. The lines corresponding to the thesis results display a general increasing
trend punctuated by irregular dips in system savings. These dips were due to
the cost of maintenance, a consideration that was excluded entirely from the
suppliers methodology.
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Table 7.9 shows that the suppliers assessment produced very different
hydrological results compared to the thesis model, predicting a volumetric
reliability of 77.6%. However, this was based on the implicit assumption that all
of the collected water could be used, i.e. that the tank capacity was effectively
infinite with no overflows. The more realistic finite storage method employed by
the thesis model predicted a lower volumetric reliability of 47.4%.
It is acknowledged that these results were based on the consideration of only
one case study, and that an investigation into a wider range of circumstances
would be beneficial, e.g. a larger range of tank sizes, different schools and other
commercial/institutional buildings. However, from this brief study it can be
concluded that the RWH system suppliers method:
Did not realistically model tank behaviour and overestimated the volume
of harvested rainwater that could theoretically be supplied.
Did not adequately account for likely operation and maintenance costs.
Significantly overestimated the magnitude of financial savings that were
ultimately achievable because no discounting techniques were applied.
Based on these limitations it is advised that predictions of water saving reliability
and financial performance be treated with caution if they have been generated
using similar methods to the one investigated here. It is strongly recommended
that a more thorough and realistic approach be used whenever possible.
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7.7 Summary and discussion of results
7.7.1 Overview
The aims of this chapter were to investigate the water saving reliability and
financial performance of an indirect RWH system for a proposed school building
with 680 pupils and staff. Water uses were to be WC and urinal flushing with a
combined yearly demand of 1,547m3. The system was to include a UV unit in
order to minimise any health risks. The predicted operational life of the school
building was fifty years and so this was used as the discount period when
assessing the RWH system. Discount rates of 3.5%, 5%, 10% and 15% were
used. A maintenance schedule was created that included regular activities
(yearly maintenance contract and replacement of UV filters and bulb) and
irregular activities (component replacement).
Analysis stage 1: determine optimum tank size
Capital costs were obtained for commercial rainwater tanks in the range of
3-54m3. The first stage of the analysis involved using the assess savings
module of the thesis model. The aim here was to determine the most cost
effective tank size from the range available, and then to take the selected tank
forward for a more detailed analysis. Out of the fifteen commercial tanks for
which data was available, it was deemed that the 54m3 capacity was the best
selection (also the largest tank of those assessed). This tank was selected
primarily because it a) showed the best hydrological performance with a
predicted volumetric reliability of 71%, and b) was the best performing financial
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tank under discount rates of 3.5% and 5%, saving an estimated 24,015 and
14,440 respectively.
Analysis stage 2: detailed analysis of selected tank
Details of the selected 54m3tank were input into the detailed analysis module
of the thesis model. For discount rates of 3.5%, 5%, 10% and 15% RWH
systems savings were predicted to be 24,015, 14,440, 296 and -4,917
respectively. AICs and AIC ratios were also calculated for the same discount
rates. For the same discount rates listed previously, the AICs in /m3 were 1.04,
0.84, 0.54 and 0.44. AIC ratios were 0.77, 0.82, 0.99 and 1.17. This showed
that the RWH system was more cost effective than the equivalent mains-only
system for all discount rates except 15%. AIC ratios were more favourable
towards the RWH system at lower discount rates. The range of figures also
demonstrated the sensitivity of the results to the selected discount rate.
The discount period was found to strongly influence the perceived system
savings. The results at n = 50 years were compared to those at n = 5, 10 and
25 years. It was concluded that:
The selected discount period had a large influence on the perceived
RWH system savings. Shorter periods resulted in diminished savings or
even net losses for potentially profitable systems.
The variation in predicted savings between different discount rates
increased as the discount period increased.
Lower discount rates resulted in greater system savings.
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Stakeholders that take a shorter term view are likely to perceive less
financial benefit than those who take a longer term view.
7.7.2 Detailed breakdown of costs
The relative contribution to system WLCs of the capital, maintenance, UV unit
operating, pump operating and mains top-up costs were determined. It was
found that, for the discount rates assessed the capital, maintenance and mains
top-costs accounted for the majority of the WLCs. Capital costs account for
between 21-50%, maintenance 13-21% and mains top-up 35-55%. UV unit and
pump operating costs were only a minor proportion of the total costs at between
1.2-2.1% and 0.7-1.2% respectively. The relative contribution of each cost
element was found to vary with different discount rates. Higher rates placed
more emphasis on the capital costs whilst lower rates gave more emphasis to
the other cost components. This result was not unexpected since higher
discount rates had the effect of reducing the present value of future
expenditures, thus increasing the percentage contribution to system WLCs of
the capital costs borne in financial year zero. Lower discount rates had the
opposite effect, that of increasing the present value of future expenditures and
thus increasing their percentage share of the WLCs.
The percentage contribution of each maintenance item to the total maintenance
cost was determined. The annual maintenance contract was found to form the
largest fraction at between 37-45%. Replacement of the UV filters was next
highest at between 18-22%, followed by the coarse filter unit (10-18%). Next
highest were the UV bulb (9-11%) and UV unit itself (8-11%). The remaining
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items accounted for a relatively minor proportion of the costs. These consisted
of the replacement of the mains top-up solenoid valve (3-4%), electronic control
unit (0.7-1.4%), internal plastic pipes (0.1-1.0%) and mains top-up level switch
(0.4-0.7%). It was also observed that higher discount rates tended to give more
weight to maintenance items that occurred on a regular basis, e.g. yearly
maintenance contract, replacement of UV filters and bulb.
7.7.3 Sensitivity analysis of results
A sensitivity analysis of the financial model was conducted in order to determine
the robustness of the school case study results. Percentage changes in RWH
systems savings were selected as the metric for judging model sensitivity.
Variations of up to 100% in a number of key parameters were assessed.
These were daily rainfall depth, capital cost, maintenance costs, mains water
supply and sewerage charges, roof area, discount period and water demand.
The effect of varying the storage operating parameter between 0 (YAS) and 1
(YBS) was also investigated. Variations in each batch of key parameters were
analysed in conjunction with discount rates of 3.5%, 5%, 10% and 15%.
Not all relationships were linear. Sensitivity of RWH systems to changes in
rainfall depth, roof area, discount period, water demand and displayed an
exponential decay type relationship (increasing form). For the discount rate and
period, results were relatively insensitive to changes in the region of -50% and
+100%. Linear relationships were apparent in changes to capital costs,
maintenance costs and mains supply and sewerage charges. Increasing capital
and maintenance costs was found to decrease RWH system savings, and visa
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versa. Increasing mains supply and sewerage charges was found to also
increase RWH system savings, and visa versa.
RWH system savings were most sensitive to changes in mains supply and
sewerage charges. Contrast this to the domestic studies in which the sensitivity
analysis results were dominated by the capital costs. Results for the other
parameters varied but system savings showed moderate to high sensitivity in
most cases. Exceptions were the water demand and discount period to which
system savings were relatively insensitive for changes in the 0 to +100% range
(but was still nevertheless sensitive to changes in the 0 to -100% range).
Sensitivity to the storage operating parameter was also relatively low in
relation to variations in monetary savings.
Capital costs showed greater sensitivity at higher discount rates. This occurred
because higher discount rates reduced the present value of other ongoing costs
but did not affect the present value of the capital costs borne in financial year
zero. Therefore, at the higher discount rates the capital costs constituted a
greater proportion of RWH system WLCs and it follows that the savings
(difference between RWH WLCs and mains-only WLCs) would be more
sensitive to any change in capital cost value.
Given these results it can be stated that accurately predicting the long-term
financial performance of RWH systems such as the one used in the school case
study example is problematic. However, as will be discussed in the next
subsection, existing alternative assessment methods, such as those commonly
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employed by private sector systems suppliers, would appear to be even less
useful than the thesis model for predicting future financial performance.
Therefore it is argued that, whilst the approach taken in the thesis may be
sensitive to assumptions regarding future conditions, the thesis model is still
more realistic and more useful as a decision support tool than many of the
existing methodologies.
7.7.4 Comparison of thesis model results with RHW system suppliers
method
Details were obtained of a RWH system suppliers in-house method for
assessing RWH systems such as the one considered for the school case study.
The hydrological and financial performance predicted by the suppliers
methodology was then compared to that predicted by the thesis model.
Hydrological components explicitly considered by the supplier consisted of the
roof (plan) area, runoff coefficient, coarse filter coefficient, average monthly
rainfall and average monthly demand (assumed same for all months). Financial
aspects consisted of savings on mains water bills and an assumption that each
cubic metre of harvested water supplied incurred an operating cost of 0.03. No
maintenance costs were included and no discounting techniques were applied
(discount rate effectively zero).
A spreadsheet was created that mimicked the system suppliers approach. The
recommended tank size was based on providing 6 days of average daily
demand which in this case was 25.4m3
. The nearest actual tank size was
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27.5m3 (capital cost = 13,046) and so this was selected. The performance of
this tank was then simulated using both the system suppliers method and the
thesis model, using a zero discount rate in the former case and rates of 3.5%,
5%, 10% and 15% in the latter. No maintenance requirements were assumed
for the supplier approach whilst the thesis simulations used the maintenance
schedule given previously in table 7.3
There was a marked difference between the two approaches in the predicted
water saving reliability. Supplier methodology estimated a reliability of 77.6%
whilst the thesis model estimated 47.4%. The difference was primarily due to
the different ways in which storage tank behaviour was taken into account. In
the suppliers approach it was simply assumed that all harvested rainwater
would be available for use, essentially an infinite reservoir approach. The thesis
model employed a finite storage algorithm in which overflow occurred if the
capacity of the tank was exceeded. This more realistic approach explains why
the thesis model predicted a lower volumetric reliability.
The predicted ultimate financial savings were significantly different. Over a 50
years period the suppliers methodology predicted constant savings of 2,647
per year, or 119,304 over 50 years including repayment of the capital costs.
The thesis model predicted savings of 17,652, 10,515 and 1 for discount
rates of 3.5%, 5% and 10% respectively. For the 15% discount rate an overall
loss of 3,866 was predicted. It was apparent that the differences in predicted
savings between the two approaches was large. The closest result from the
thesis simulations was for the 3.5% discount rate with a saving of 17,652. The
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system suppliers results were nearly eight times this amount. A primary reason
for this disparity was found to be due to the exclusion of any discounting
methodology. The yearly savings of 2,647 forecast by the supplier were simply
multiplied unadjusted by the analysis time period to arrive at savings figure of
119,304. Using the same assessment method but applying discounting rates
of 3.5%, 5%, 10% and 15% resulted in savings of 65,361, 50,970, 28,892
and 20,277 at NPV. All of these were considerably less than the original
estimation.
It was acknowledged that this comparative investigation was based on the
consideration of only one RWH system, and that an investigation into a wider
range of circumstances would have been beneficial. For example other school
facilities and other types of buildings such as offices. However, from this brief
study it was concluded that the method used by the system supplier:
Did not realistically model tank behaviour and overestimated the volume
of harvested rainwater that could theoretically be supplied.
Did not adequately account for likely operation and maintenance costs.
Significantly overestimated the magnitude of financial savings that were
ultimately achievable because no discounting techniques were applied.
Based on these limitations it was advised that the water saving reliability and
financial performance results generated by such methods should be treated
with caution. It was strongly recommended that a more thorough and realistic
approach be used whenever possible.