Page 259 - Applied Photovoltaics
P. 259

x  If the amount of water to be pumped is to be reasonably constant
                               throughout the year, but with a definite bias towards summer months
                               (such as for drinking water), a tilt angle in the vicinity of latitude + 10°
                               will probably be desirable.
                            x  If the annual amount of water pumped is to be maximised (such as with a
                               large storage reservoir), a tilt angle in the range latitude to latitude – 10°
                               should be used.
                            x  If the water pumped during summer months is to be maximised (such as
                               for some irrigation applications), a tilt angle in the vicinity of latitude –
                               20° will be preferable, to ensure the solar panels point more directly at the
                               midday summer sun.

                            In general, more uniform pumping throughout the year will be provided by
                            increasing the tilt angle.
                         2. The pumping head and its seasonal variations must be known and, where
                            possible, information regarding water source replenishment rates should be
                            obtained.
                         3. The inclusion and economics of water storage should be considered in
                            conjunction with consumer needs.
                         4. Any available insolation data should be obtained and used in conjunction with
                            the guidelines given in Appendix B and Chapter 1. Fig. H.1 indicates the
                            procedure for determining the light intensity incident on the solar panels at
                            angle ȕ at noon.
                         5. Select a pump to suit starting torque requirements, the range of operating
                            heads, any physical dimension constraints imposed by the application, and
                            one that will pump the required volume of water when operating at its
                            maximum efficiency point. It is essential the torque-speed characteristics of
                            the selected pump be known, to facilitate system matching.
                         6. Select a motor with a torque-speed characteristic compatible with that of the
                            pump. It is important that the motor operate near maximum efficiency when
                            producing the necessary torque, to drive the pump at its design speed. Recall
                            that

                                                  V    I  R    K ĭ N              (12.1)
                                                   m   a  a
                            where V m  is the motor voltage, I a  is the armature current, R a  is the resistance
                            of the armature, K is the motor constant, ĭ is the flux density and N is the
                            speed of rotation.
                            In Eqn. 12.1, the voltage applied to the motor terminals (V m ) has two
                            components—I a R a is the resistive voltage drop across the armature windings
                            and KĭN is the back emf generated, which is hence proportional to the speed
                            of rotation N and the flux density ĭ.
                            If we now consider a permanent magnet DC motor, then ĭ remains
                            approximately constant, independent of the voltage applied or current
                            consumed, and I a becomes the total motor current I m , since no current is
                            required for field windings. Thus, we can rewrite Eqn. (12.1) as



                     246
   254   255   256   257   258   259   260   261   262   263   264