
/
TURBINES, p. 171, for a more detailed discussion.) In
any case, no turbine operates efficiently from zero
through to design flow. Generator efficiency also
decreases with decreasing output. These factors further
affect the output of a hydropower plant.
The overall efficiency is a function of factors such as
head losses in the penstock, power output, and type,
design, and condition of the turbine, generator, and cou-
pling between the two. To continue with the previous
example, assume a more realistic variation of overall
conversion efficiency with flow as illustrated in
Fig. 3.19 and not fixed at 60% as was assumed earlier.
Under specific circumstances, efficiency may be better
or
worse than that shown in this figure; however, the
effect of a varying efficiency on the annual energy and
power potential of a turbine, illustrated in the example
below, remains unchanged.
0
20 40 60
80
100
Percent of design flow
Fig. 3.19.
The
efficiency curve for the micro-hydropower
scheme considered
In
the example.
To determine this effect, it is necessary to use the orig-
inal form of the powerequation [Eq. (4.2)). The actual
procedure for doing this is illustrated in Fig. 3.20. The
energy potential at ‘the proposed plant is equal to the
shaded area under the curve in Fig. 3.20~. Therefore,
by considering the actual operating characteristics of
the turbo-generating equipment, the total annual
energy
available is further reduced to 88% of the
previous case
(Fig. 3.18, assuming constant efficiency) or, equiva-
lently, 73% of the energy that would have been avail-
able if no flow had been kept in the stream and if over-
all efficiency had been constant (Fig. 3.17). Further-
more, there are times each year when only about 10 kW
would be available, significantly less than the 36 kW
which would have been available had environmental con-
siderations and turbine characteristics not been con-
sidered.
It should be clear from the preceding discussion that
only the lower portion of the flow-duration curve, from
about 20%-100% exceedance, is generally of importance
/
for sizing a turbine for an isolated scheme. A know-
ledge of&e shape of the upper end of the/curve is not
required for this purpose; its precise s $e is therefore
of no concern. However, the peak val le is of impor-
7
tance in laying out the scheme and s:zing spillways so
that flood flows can be accommod .ted and do not
adversely affect the operation ar.i integrity of the
scheme.
J
The criteria used to select ne design flow for the tur-
bine(s) at a micro-hydrop cRer plant
are determined
/
largely by how the plan wiI1 he used. In the industri-
alized countries wher, hydropower plants are frequently
interconnected to thh national grid, a common criterion
is to maximize th?revenues generated by
energy
sales
to the utility over the costs
incurred
in implementing
and operating the plant. If a low value of flow is
selected for power
generation
(Fig. 3.21a), the full
capacity
of./ehe
turbine may be used but the high cost
per kilowatt of a small plant would
make
it difficult to
recoup the investment from the revenues generated. If
a large’design flow is selected to take advantage of the
economies of scale (Fig. 3.21b), the plant will not be
used to full capacity and costly generating capacity will
remain idle most of the year. In addition, because of
the operating characteristics of turbo-generating
equipment, flows below a certain percent of design flow
could not be used. An optimum design flow exists some-
where
in between (Fig. 3.21~) where economies of scale
keep costs reasonable but where the plant’s capacity
will be used more effectively. If the cost
of
the equip-
ment and the revenues generated for various design
flows can be calculated, the actual value
of
the design
flow can be obtained. This is not complicated and
should be done if the economics
of
a specific project is
important. Wamick
provides
a more indepth discussion
of the issues in Hydropower Engineering (106).
In developing countries, power is commonly generated
at isolated locations. In this case, rather than most
efficiently exploiting the flow available in a stream, the
objective is to use only that flow which is required to
meet the specific needs
of
the consumers. It is usually
more important to have power year-round, and needs
are probably more limited. Therefore,
although
Fig. 3.21~ may represent the optimum design
flow
for a
grid-connected scheme where the
power
and energy
demands are virtually unlimited, the design flow shown
in Fig. 3.21a might represent the optimum
for
an iso-
lated scheme.
AItenrative turbine conf+mdcxm
Whether the plant is grid-connected
or
iwlated, if con-
ventional turbine designs are used-turbines which per-
mit flow regulation-valves and actuating mechanisms,
automatic or manual, add to the cost and complezity of
micro-hydropower schemes. In cases where this is
of
concern, alternative turbine configurations are possible.
This is especially the case when simple, locally fabri-
cated turbines are being considered and the local capa-
city to fabricate complicated valves and actuating
mechanisms has not yet been developed.
42
Streamflow characteristics and design flow