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Efficiency Improvement in Induction Motor-Driven Solar Water Pumping System Using Golden Section Search Algorithm

  • Research Article - Systems Engineering
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Abstract

The paper applies a maximum power point tracking (MPPT) technique for stand-alone photovoltaic water pumping system to improve the overall operating efficiency. This technique is based on golden section search (GSS) optimization method. To the authors’ best knowledge, this is the first attempt to apply it to such a problem. Compared to MPPT tracking method such as perturb and observe (P&O), GSS technique offers two advantages, namely fastness and perturbation-free which both affect the overall and instantaneous efficiency of the solar water pumping system. The maximum power transfer from the photovoltaic panel to the centrifugal pump is ensured by optimal selection of induction motor’s operating speed. This allows improving the global efficiency of the water pumping system that is maximum water flow rate with respect to the solar intensity. Modeling of solar water pumping system is presented then simulated using MATLAB/Simulink under variable irradiance to demonstrate the effectiveness of the proposed architecture. Results show that GSS-based MPPT offers better dynamic efficiency without altering much the easiness and simplicity of the implementation compared to the conventional P&O.

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Abbreviations

a :

Diode factor

d :

Subscript of direct axis

D :

Chopper duty cycle

\(E_\mathrm{stc}\) :

Irradiance value at STC

\(E_\mathrm{g}\) :

Band-gap energy

F :

Friction coefficient

\(G_{1}, G_{2}\) :

Golden section values

H :

Manometric head or height

i :

Motor current

I :

Photocurrent

\(I_\mathrm{ph}\) :

PVG current

\(I_\mathrm{scn}\) :

Nominal short-circuit current at STC

\(I_0\) :

Reverse saturation current

\(I_\mathrm{0n}\) :

Nominal saturation current

j :

Total moment of inertia

k :

Boltzmann’s constant

\(K_\mathrm{p}\) :

Proportionality constant

\(L_\mathrm{s}, L_\mathrm{r},L_\mathrm{m}\) :

Stator, rotor and mutual inductance, respectively

\(N_\mathrm{s}\) :

Number of cells per module

\(N_\mathrm{par}\) :

Number of strings constituting the PVG

\(N_\mathrm{ser}\) :

Number of modules per string

p :

Number of pole pairs

P :

Hydraulic power

\(q_\mathrm{e}\) :

Electron charge

Q :

Water flow rate

q :

Subscript of transverse axis

r :

Subscript of rotor

\(R_\mathrm{s}\) :

Series resistance

\(R_\mathrm{sh}\) :

Parallel resistance

s :

Subscript of stator

T :

Cell temperature.

\(T_\mathrm{em}\) :

Electromagnetic torque

\(T_\mathrm{L}\) :

Pump torque

v :

Motor voltage

V :

PVG voltage

\(V_\mathrm{t}\) :

Thermal voltage

\(\alpha _\mathrm{i}\) :

Short-circuit current coefficient

\(\alpha _\mathrm{v}\) :

Open-circuit voltage coefficient

\(\varphi \) :

Magnetic flux

\(\omega _\mathrm{e}\) :

Speed of rotating reference frame

\(\varOmega _\mathrm{r}\) :

Mechanical rotor speed

\(\sigma \) :

Total leakage coefficient

\(\rho \) :

Golden ratio

\(\eta \) :

Efficiency

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Acknowledgements

Dr. A. Mellit expresses a special acknowledgment to the International Centre for Theoretical Physics (ICTP), Trieste, Italy.

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Authors and Affiliations

  1. Signals and Systems Laboratory, Institute of Electrical and Electronic Engineering, University M’Hamed Bougara of Boumerdes, Avenue of Independence, 35000, Boumerdes, Algeria

    Salim Djeriou & Aissa Kheldoun

  2. Renewable Energy Laboratory, University of Jijel, 18000, Jijel, Algeria

    Adel Mellit

  3. The International Centre for Theoretical Physics (ICTP), Starada Costiera, 11-34151, Trieste, Italy

    Adel Mellit

Authors
  1. Salim Djeriou
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  2. Aissa Kheldoun
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  3. Adel Mellit
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Correspondence to Adel Mellit.

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Djeriou, S., Kheldoun, A. & Mellit, A. Efficiency Improvement in Induction Motor-Driven Solar Water Pumping System Using Golden Section Search Algorithm. Arab J Sci Eng 43, 3199–3211 (2018). https://doi.org/10.1007/s13369-017-2972-6

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