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Figure 11.8. Performance curves of a typical positive displacement pump.
                            (Speeds shown are pump speeds. For motor, multiply by 8.5. Efficiencies include
                            belt transmission between motor and pump.) (Used with permission of Halcrow &
                            Partners, 1981).

                     The other problem limiting the use of these pumps in direct connection to solar panels
                     is the high starting (breakaway) torque associated with binding of the seals.
                     Furthermore, the low number of strokes per unit time of volumetric pumps
                     necessitates the use of an appropriately-geared transmission to match to the speed of
                     the motor (Halcrow & Partners, 1981), which adds further complexity to the system.
                     Despite these limitations, for large heads (>20 m) the efficiencies obtainable exceed
                     those of single-stage centrifugal pumps, particularly under part load conditions.
                     Having mentioned this benefit, it is important to understand the implications of using
                     these pumps under part load. Under part load, these pumps require the same current
                     but reduced voltage, because of the flat torque-speed characteristic. This is not
                     compatible with photovoltaic output and hence power conditioning circuitry would be
                     required before this benefit could be utilised.
                     Another benefit is that they are less sensitive to head variations (seasonal and during
                     pumping) and are self-priming, which alleviates the need for submersible motors and
                     long driving shafts between motors and pumps. Also, their efficiencies tend to suffer
                     less from partial load conditions than do centrifugal types (Sharma et al., 1995).

                     The performance of volumetric pumps is quite poor for small heads, owing to the
                     large component of friction. The exception to this is perhaps the free-diaphragm
                     pump, which has low internal friction and hence may be well suited to small heads.
                     Fig. 11.9 gives the typical performance curves of such a pump, and it has been hoped
                     that these may be able to be operated directly by an actuator, although to date, no
                     great success in this area has been achieved. Diaphragm pumps are available for




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