Maximum power point tracking technique based on optimized adaptive differential conductance

Figures & data

Figure 1. Plot of resultant conductance and power against voltage for an ideal maximum power point tracking technique.

Figure 2. The equivalent circuit of PV cell with single diode.

Source: Adamo, Attivissimo, Di Nisio, Lanzolla, and Spadavecchia (2009).

Table 1. The input and output parameters

Input data			Output data
Names of parameter	Symbol	Value	Names of parameter	Symbol
Reverse saturation current	I0	0.07 A	Output power	P
Series resistance	Rs	0.008 Ω	Open circuit voltage	Voc
Diode ideality factor	A	2	Short circuit current	Isc
Number of cells	n	100	Output current	I
Electron charge	Q	1.6 × 10^−19°C	Resultant conductance	ϒ
Boltzmann’s constant	k	1.3805 × 10^−23 J/K	Current maximum power point	Impp
Reference temperature	Tref	298 K	Load conductance (slope)	$\frac{\text{d}l}{\text{d}V}$
Working temperatures	T	298, 328, 358 K	Voltage maximum power point	Vmpp
Reference irradiance	Gref	1,000 W/m^2	Photovoltaic current	Iph
Working irradiance	G	1,000, 800, 600 W/m^2	Panel conductance	$\frac{I_{\text{mpp}}}{V_{\text{mpp}}}$
Voltage	V	0–Voc

Table 2. The resultant conductance (ϒ) and power varies with voltage at 1,000 W/m² and 298 K (STC) for the proposed model

Data point	ϒ (mho)	Power (W)	Voltage (V)
1	0.3903	0	0
2	0.3832	19.5811	2.1758
3	0.3722	38.9168	4.3516
4	0.3554	57.8128	6.5274
5	0.3298	75.9383	8.7032
6	0.2906	92.7358	10.879
7	0.2308	107.274	13.0548
8	0.1395	118.009	15.2306
9	−8.3243 × 10^−6	122.395	17.4064
10	−0.2131	116.262	19.5822
11	−0.5386	92.8034	21.758
12	−1.0359	40.9619	23.9338

Table 3. The resultant conductance (ϒ) varies with voltage at varying Solar irradiance and temperature of 298 K for the proposed model

600 W/m^2	800 W/m^2	1,000 W/m^2	Voltage (V)
Resultant conductance
ϒ (mho)	ϒ (mho)	ϒ (mho)
0.2539	0.3235	0.3903	0.0000
0.2467	0.3163	0.3832	2.1758
0.2357	0.3053	0.3722	4.3516
0.2189	0.2885	0.3554	6.5274
0.1933	0.2629	0.3298	8.7032
0.1542	0.2237	0.2906	10.879
0.0944	0.1639	0.2308	13.0548
0.003	0.0726	0.1395	15.2306
−0.1365	−0.0669	−8.3243 x 10^−6	17.4064
−0.3496	−0.28	−0.2131	19.5822
−0.6751	−0.6055	−0.5386	21.7580

Table 4. Variation of resultant conductance with voltage at 1,000 W/m² irradiance for varying temperatures for the proposed model

298 K	328 K	358 K	Voltage (V)
Resultant conductance
ϒ (mho)	ϒ (mho)	ϒ (mho)
0.3903	0.3403	0.2909	0.0000
0.3832	0.3345	0.2861	2.1758
0.3722	0.3259	0.2793	4.3516
0.3554	0.3134	0.2696	6.5274
0.3298	0.2949	0.2557	8.7032
0.2906	0.2678	0.2361	10.8790
0.2308	0.2280	0.2081	13.0548
0.1395	0.1694	0.1683	15.2306
−8.3243 x 10^−6	0.0834	0.1117	17.4064
−0.2131	−0.0429	0.0311	19.5822
−0.5386	−0.2286	−0.0835	21.7580
−1.0359	−0.5015	−0.2466	23.9338

Table 5. Variation of resultant conductance with voltage at 600 w/m² and 298 k for the proposed model and conventional incremental conductance technique

Data point	Optimized adaptive differential conductance (OADC) at 600 W/m^2	Conventional incremental conductance at 600 W/m^2	Powers at 600 W/m^2	Voltage (V)
	Resultant conductance
	ϒ (mho)	ϒ (mho)	P (W)
1	0.2539	0.2090	0.0000	0.0000
2	0.2467	0.2018	11.6556	2.1758
3	0.2357	0.1909	23.0658	4.3516
4	0.2189	0.1741	34.0363	6.5274
5	0.1933	0.1485	44.2363	8.7032
6	0.1542	0.1093	53.1083	10.8790
7	0.0944	0.0495	59.7210	13.0548
8	0.0030	−0.0418	62.5302	15.2306
9	−0.1365	−0.1813	58.9910	17.4064
10	−0.3496	−0.3944	44.9322	19.5822
11	−0.6751	−0.7199	13.5483	21.7580

Figure 3. Plot of resultant conductance and power against voltage for the proposed model.

Figure 4. Plot of resultant conductance against voltage at different irradiance for the proposed model.

Figure 5. Plot of resultant conductance against voltage at different temperature for the proposed model.

Figure 6. Plot of resultant conductance and power against voltage.

Table 6. Symbols and its nomenclatures

Symbol	Nomenclature
	Lowercase	Uppercase
A		alpha
N		nu
Q		qu
k		kappa
P		rho
V	Nu
T		tau
I		lota
ϒ	Gamma

Adamo, F., Attivissimo, F., Di Nisio, A., Lanzolla, A. M. L., & Spadavecchia, M. (2009). Parameters estimation for a model of photovoltaic panels. In 19th IMEKO world congress on fundamental and applied metrology (pp. 964–967). Libson, portugal.

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