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Maximum Power Point Determination of Bifacial PV Using Multi-Verse Optimization Algorithm Applied on Different Cell Models

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Mar 21, 2025

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Figure 1.

Conceptual models of white hole, black hole and wormhole components.
Conceptual models of white hole, black hole and wormhole components.

Figure 2.

MVO algorithm presentation. MVO, multi-verse optimization; TDR, traveling distance rate; WEP, wormhole existence probability.
MVO algorithm presentation. MVO, multi-verse optimization; TDR, traveling distance rate; WEP, wormhole existence probability.

Figure 3.

Ideal single diode PV cell model. PV, photovoltaic.
Ideal single diode PV cell model. PV, photovoltaic.

Figure 4.

Real single-diode PV cell model. PV, photovoltaic.
Real single-diode PV cell model. PV, photovoltaic.

Figure 5.

Two diode PV cell model. PV, photovoltaic.
Two diode PV cell model. PV, photovoltaic.

Figure 6.

Objective function change during the MVO search for ideal single-diode model at 1,000 W/m2. MVO, multi-verse optimization.
Objective function change during the MVO search for ideal single-diode model at 1,000 W/m2. MVO, multi-verse optimization.

Figure 7.

Objective function change during the MVO search for real single-diode model at 1,000 W/m2. MVO, multi-verse optimization.
Objective function change during the MVO search for real single-diode model at 1,000 W/m2. MVO, multi-verse optimization.

Figure 8.

Objective function change during the MVO search for two-diode model at 1,000 W/m2. MVO, multi-verse optimization.
Objective function change during the MVO search for two-diode model at 1,000 W/m2. MVO, multi-verse optimization.

Optimization data at 1,000 W/m2

Variables Unit Catalog data MVO solution
Vmppt (V) 41.65 41.6500012
Rs (Ω) / 0.20019324
P (W) / 1.512/10−5
Pmppt (W) 578.102 578.10202

Optimization data for other solar irradiations

Parameter Unit Values

200 (W/m2) 600 (W/m2) 1,000 (W/m2)
Vmppt (V) 40.16001 41.3000064 41.6500012
Rs (Ω) 0.2 0.2 0.20019324
P (W) 4.872/10−5 6.502/10−5 1.512/10−5
Pmppt, MVO (W) 110.44005 313.46707 578.10202
Pmppt, catalog (W) 110.44 313.467 578.10202

Parameters of the analyzed module given by the producer with included bifaciality of 10%

Parameters Unit Values
Peak power (Wp) 578
Maximum voltage per MPPT (V) 41.65
Maximum current per MPPT (A) 13.88
Open circuit voltage (V) 49.93
Short circuit current (A) 14.93
Ns (# of cells) 60
KI (%/°C) 0.00543
KV (%/°C) −0.136
GSTC (W/m2) 1,000

Optimization parameters and their optimization bounds

Variables Description Lower boundary Upper boundary
Vmppt (V) Voltage at MPPT 40 42
Rs (Ω) PV cell series resistance 0.1 0.3

Comparative optimization data at 1,000 W/m2 and 20°C

Methods Parameters

Vmpp Pmpp P
(V) (W) (W)
Catalogue data 41.65 578.102 /
MVO 41.6500004 578.10205 5.373/10−6
GA 41.362 578.11667 0.014674

Standard parameters of the analyzed module given by the producer

Parameters Unit Values
Peak power (Wp) 540
Maximum voltage per MPPT (V) 41.64
Maximum current per MPPT (A) 12.97
Open circuit voltage (V) 49.60
Short circuit current (A) 13.86
Efficiency (%) 20.9
Area of the module (m2) 2.58
Language:
English
Publication timeframe:
1 times per year
Journal Subjects:
Computer Sciences, Artificial Intelligence, Engineering, Electrical Engineering, Electronics