# Review on Optimization Techniques of PV/Inverter Ratio for Grid-Tie PV Systems
## 2 Literature Review
### PV Array to Inverter Sizing Strategies
#### 2.2.3 A Climate Classification
\begin{tabular}{c c c c c c} \hline \hline
**Optimal Power** & **Method/Relation** & **Recommendation** & **Climate Classification** & **Country/Group** & **Ref.** \\ \hline
0.71 & \(\frac{\text{P}_{\text{max,column}}}{\text{P}_{\text{V,norm}}}=\frac{\text{C}_{ \text{TI}}}{\text{C}_{\text{SIC}}}\) & 0.71 & Csa & Sacramento, CA, USA & [14] \\ \hline
1.291–1.204 & \(\frac{\text{P}_{\text{perfund}}}{\text{P}_{\text{perfund}}}\) & \(\beta=60^{\circ}\) (1.204), \(\beta=45^{\circ}\) (1.291) & Csa & Batna, Algeria & [75; 76] \\ \hline
1.220–1.153 & \(\frac{\text{P}_{\text{perfund}}}{\text{P}_{\text{perfund}}}\) & \(\beta=60^{\circ}\) (1.153), \(\beta=45^{\circ}\) (1.220) & Csa & Algiers, Algeria & [77] \\ \hline
0.67 & NA & 0.67 & Csa & Portugal & [78; 79] \\ \hline
1.00–0.80 & \(\frac{\text{P}_{\text{max, inverter}}}{\text{P}_{\text{nom,generator}}}\) & 0.85 & Cfb & Bogota, Colombia & [80] \\ \hline
0.65 & NA & 0.65 & Cfb & The Netherlands & [81] \\ \hline
1.20–0.75 & \(\frac{\text{P}_{\text{per-inv, num}}}{\text{P}_{\text{perfund}}}\) & v = 0.90 (Germany) & Cfb & Germany & [82] \\ \hline
0.95–0.85 & \(\frac{\text{P}_{\text{per}}}{\text{P}_{\text{rec, Acc, num}}}\) & NA & Cfb & Freiburg, Germany & [83] \\ \hline
1.30–1.15 & \(\frac{\text{P}_{\text{max, inverter}}}{\text{P}_{\text{post,PV, entry}}}\) & 1.15 & Cfb & Nottingham, UK & [15] \\ \hline
0.90–0.70 & \(\frac{\text{P}_{\text{perfund}}}{\text{P}_{\text{perfund}}}\) & TF = 1.3, & & & \\  & \(\frac{\text{P}_{\text{perfund}}}{\text{P}_{\text{perfund}}}\) & Overcast sky = 0.9–0.7 & Cfb & Northern Ireland, UK & [84] \\ \hline
1.10–1.50 & \(\frac{\text{P}_{\text{CC, STC}}}{\text{P}_{\text{SRTTED}}}\) & Low Eff. Inv; ISI = 1.4–1.5; & & & \\  & \(\frac{\text{P}_{\text{CC, STC}}}{\text{P}_{\text{SRTTED}}}\) & HIS = 1.2–1.3, High Eff. Inv; & Cfb & Loughborough, UK & [7] \\  & & LSI = 1.3–1.4; HIS = 1.1–1.2, & & & \\ \hline
1.25 & \(\frac{\text{P}_{\text{per, dec, num}}}{\text{P}_{\text{PV, num}}}=\frac{\text{C}_{ \text{PL}}}{\text{C}_{\text{SIC}}}\) & 1.10–1.40 & Cfb & Oak ridge, TN, USA & [85] \\ \hline
1.25 & \(\frac{\text{P}_{\text{perfund}}}{\text{P}_{\text{perfund}}}\) & 1.10–1.40 & Cfb & Northern Ireland, UK & [7] \\ \hline
1.25 & \(\frac{\text{P}_{\text{CC, STC}}}{\text{P}_{\text{SRTTED}}}\) & TF = 1.10–1.15 & Cfb & Loughborough, UK & [86] \\ \hline NA & \(\frac{\text{P}_{\text{per, dec, num}}}{\text{P}_{\text{PV, num}}}=\frac{\text{C}_{ \text{PL}}}{\text{C}_{\text{SIC}}}\) & 0.69 & Cfa & Oak ridge, TN, USA & [14] \\ \hline
1.30–1.20 & \(\frac{\text{P}_{\text{per}}}{\text{P}_{\text{per}}}\) & Si PV = 1.30–1.20; & & & \\  & \(\frac{\text{P}_{\text{per, AC, num}}}{\text{P}_{\text{per}}}\) & Thin-Film \(<\) 1.00 & Cfa & UFSC, Florianópolis, South Brazil & [15] \\ \hline
0.83–0.78 & \(\frac{\text{P}_{\text{max, AC, num}}}{\text{P}_{\text{per}}}\) & Thin-Film Summer = 0.83; & & & \\  & \(\frac{\text{P}_{\text{max, AC, num}}}{\text{P}_{\text{per}}}\) & Thin-Film Spring = 0.82; & & & \\  & \(\frac{\text{P}_{\text{min-Film Winter}}}{\text{P}_{\text{per}}}=0.78\); & & & & \\ \hline
1.00–0.60 & \(\frac{\text{P}_{\text{perwork, num}}}{\text{P}_{\text{per, AC, num}}}\) & 1.22 & Bk & San Diego, California & [18; 27] \\ \hline NA & \(\frac{\text{P}_{\text{per, AC, num}}}{\text{P}_{\text{PV, num}}}=\frac{\text{C}_{ \text{PL}}}{\text{C}_{\text{SIC}}}\) & 0.74 & Bk & Prewitt, NM, USA & [14] \\ \hline
0.85–0.65 & \(\frac{\text{P}_{\text{per}}}{\text{P}_{\text{per}}}\) & \(\frac{\text{S}_{\text{MIN}}=0.65;\text{S}_{\text{SRTA}}=0.85\text{ for}}{\text{Gulf Council Countries}}\) & BWh & Kuwait & [88] \\ \hline NA & \(\frac{\text{P}_{\text{per}}}{\text{P}_{\text{per}}}\), \(\frac{\text{d}_{\text{c, num}}}{\text{P}_{\text{PV, num}}}=\frac{\text{C}_{ \text{PL}}}{\text{C}_{\text{SIC}}}\) & 0.67 & BWh & Phoenix, AZ, USA & [14] \\ \hline NA & \(\frac{\text{P}_{\text{per}}}{\text{P}_{\text{PV, num}}}=\frac{\text{C}_{ \text{PL}}}{\text{C}_{\text{SIC}}}\) & 1.00 & BWh & Las Vegas, NV, USA & [14] \\ \hline
1.02–0.55 & \(\frac{\text{P}_{\text{per}}}{\text{P}_{\text{PV}}}\) & NA & Cwa & Sao Paulo, Brazil & [89] \\ \hline
1.321–1.210 & \(\frac{\text{P}_{\text{perfund}}}{\text{P}_{\text{perfund}}}\) & \(\beta=45^{\circ}\) (1.321), \(\beta=60^{\circ}\) (1.210) & BWh & Adrar, Algeria & [3] \\ \hline
0.85–1.07 & & Valid on all PV technologies & Af & Malaysia & \# \\ \hline NA & \(\frac{\text{P}_{\text{max, AC, num}}}{\text{P}_{\text{PV, dc, STC}}}\) & 0.761 (Lanai)/0.741 (Oahu) & Aw & Lanai/Oahu, Hawaii, USA & [14] \\ \hline
1.43–1.21 & \(\frac{\text{P}_{\text{perfund}}}{\text{P}_{\text{perfund}}}\) & Valid on all PV technologies & Af &
\begin{tabular}{c} Kuala Lumpur, \\ Kuching and Alor \\ Setar, Johor Bharu, \\ Ipoh, Malaysia \\ \end{tabular} & [90] \\ \hline
1.03–0.93 & \(\frac{\text{P}_{\text{per}}}{\text{P}_{\text{per}}}\) & Integrated (0.93), & Csa & Cadiz, Spain & [80] \\ \hline \hline \end{tabular}