## 3 Fuzzy MPPT algorithms
\begin{table}
\begin{tabular}{l l l} \hline \hline
**Input Variables** & **Advantages** & **Disadvantages** \\ \hline Algorithm (i): & 1. & Easily determines if the operating point is to the left or right of \\ P-V slope and & 1. & Easily determines if the operating point is to the left or right of \\  & the MPP, facilitating the increase or decrease of the duty ratio. & \\ P-V slope and & 2. & Changes to the slope can be used to determine the movement \\  & 2. & direction of the operating point to prevent fluctuations. \\  & 2. & At low irradiation, precision of MPP \\  & 2. & would not be as high. \\ \hline Algorithm (ii): & 1. & Easily determines if the operating point is to the left or right of \\  & 2. & the MPP, facilitating the increase or decrease of the duty ratio. \\  & 2. & At low irradiation levels, \(\Delta P_{PP}\) can be used to determine \\  & 2. & changes to irradiation and facilitate tracking speed. \\ \hline Algorithm (iii): & 1. & Unable to respond quickly during \\  & 2. & Both inputs are changes to variables, and would not \\  & 2. & be able to correctly identify the operating points. \\  & 2. & Each increment step to duty ratio cannot be too \\  & 2. & high, which means that tracking will be slower. \\  & 2. & At low irradiation, precision of MPP would not \\  & 2. & be as high. \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Advantages and disadvantages of the MPPT algorithms. \begin{table}
\begin{tabular}{l l l} \hline \hline
**Input Variables** & **Advantages** & **Disadvantages** \\ \hline \multirow{6}{*}{Algorithm (iv): \(\Delta P_{PV}\) and \(\Delta I_{PV}\)} & 1. & Unable to respond quickly during moments of changing irradiation. \\  & 2. & Both inputs are changes to variables, and would not be able to correctly identify the operating points. Increment and decrease steps for the duty ratio cannot be too high, which meant that tracking would be slower. \\  & 2. & Designed according to changes in current and voltage based on the P-I curve to offer a very direct approach. \\  & & 3. & Operating point may easily fall to short circuit current ranges during moments of irradiation change. \\  & 4. & At low irradiation, precision of MPPT \\  & & would not be as high. \\ \hline \multirow{6}{*}{Algorithm (v): \(\frac{I_{PV}}{V_{PV}}+\frac{dI_{PV}}{dV_{PV}}\)} & 1. & Can be designed as a single-input and single-output system with simple design considerations. \\  & 2. & Can be rapidly tracked to the MPP. \\  & 3. & Able to directly locate the position of the operating point. \\  & 4. & Ensures that the error between curves of different irradiation \\  & & would not be too big. \\ \hline \multirow{6}{*}{Algorithm (vi): \(\tan^{-1}\left(\frac{I_{PV}}{V_{PV}}\right)+\tan^{-1}\left(\frac{I_{PV}}{V_{PV}} \right)+\tan^{-1}\left(\frac{dI_{PV}}{dV_{PV}}\right)\)} & 1. & Can be designed as a single-input and single-output system with simple design considerations. \\  & 2. & Can be rapidly tracked to the MPP. \\  & 3. & Able to directly locate the position of the operating point. \\  & 4. & Ensures that the error between curves of different irradiation \\  & & would not be too big. \\ \hline \hline \end{tabular}
\end{table} 
Table 1: _Cont._