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346 CHAPTER 10 Scalar and Vector Control of Induction Motor

Table 10.1 Water Volume Pumped Using the Scalar and Vector Control
Methods
Volume Obtained Volume Obtained
With Scalar Control With Vector Control
3
3
Season (m per day) (m per day)
Hot season 208.9 317.8
Moderate season 166.9 277.45
Cold season 81.72 127.4

Fig. 10.13 and Table 10.1 illustrates the pumped water volume obtained using the
scalar and vector control in the three seasons: cold, medium, and hot seasons. The
results show that, using the vector control method, the pumped volume is clearly
higher than using the scalar method.

6. CONCLUSION

An optimal process of a photovoltaic pumping system based on an induction
machine was detailed. The goal was to ensure maximum motor efficiency after
extracting maximum photovoltaic power with MPPT method. A comparative study
was carried out on two control methods: scalar and the vector control. The simula-
tion results show the increase of both the daily pumped quantity and pump
efficiency, reached by the vector control. The investigation of the vector control
with cheap available electronic instruments still is an objective for generalizing
and spreading the use of photovoltaic energy in water pumping applications.

ANNEX

Table A Parameters of the Asynchronous Machine
Nominal voltage [V] 220/380 V Stator resistance [U] 2.3
Nominal stator current [A] 21 Rotor resistance [U] 2.3
Nominal power [kW] 4.5 Stator mutual inductance [H] 0.462
Nominal torque [Nm] 28 Rotor mutual inductance [H] 0.462
2
Nominal speed [tr/mn] 1435 Inertia moment [kg$m ] 0.0049
Pairs poles number 2