## 2 Materials and Methods
### Goal and Scope Definition
#### 2.1.4 Calculation of Power Output and Steam Generation  
The power output of the generator of the waste incineration plant was calculated by using Equation (3) based on the lower heating value shown in Table 1. The power generation efficiency of BTG power generation was assumed to be 20%. \[\text{O}_{\text{I}}=\text{C}_{\text{LHV}}\times\frac{1000}{3600\times 24}\times \text{S}_{\text{I}}\,\times\,20\%, \tag{3}\] \begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Item**} & \multicolumn{2}{c}{**Lower**} & \multicolumn{2}{c}{**Three Components (\%)**} & \multicolumn{4}{c}{**Elemental Composition (\%)**} & \multicolumn{4}{c}{**Weight Composition**} \\  & \multicolumn{2}{c}{**Heating**} & \multicolumn{2}{c}{**Vencentage (\%)**} \\  & \multicolumn{2}{c}{**Value**} & \multicolumn{2}{c}{**Cunbtible**} & \multicolumn{2}{c}{**Water**} & \multicolumn{2}{c}{**Ash**} & \multirow{2}{*}{**C**} & \multirow{2}{*}{**H**} & \multirow{2}{*}{**O**} & \multirow{2}{*}{**N**} & \multirow{2}{*}{**S**} & \multirow{2}{*}{**Cl**} & \multirow{2}{*}{**Case 1 and 2**} & \multirow{2}{*}{**Case 3 and 4**} \\  & **(MJ/kg)** & **Content** & **Content** & & & & & & & & & & \\ \hline Paper & 10.7 & 70 & 20 & 10 & 44 & 6 & 49 & 0.20 & 0.02 & 0.40 & 25.9 & 29.4 \\ Food waste & 1.4 & 18 & 78 & 4 & 47 & 7 & 42 & 3.8 & 0.10 & 0.40 & 34.2 & 7.8 \\ Plastics & 27.1 & 74 & 17 & 9 & 74 & 11 & 11 & 0.20 & 0.02 & 3.90 & 13.7 & 15.5 \\ Others & 7.4 & 51 & 24 & 2 & 40 & 5 & 30 & 1.0 & 0 & 1.00 & 26.2 & 29.7 \\ Dewatered & 1.0 & 10 & 81 & 9 & 49 & 7 & 37.9 & 5.4 & 0.7 & 0.3 & - & 17.7 \\ residue & & & & & & & & & & & & & \\ Case 1 & 8.7 & 47 & 44 & 8.4 & 50 & 6.9 & 35 & 0.8 & 0.04 & 1.2 & 100 & - \\ Total & 2 & & & & & & & & & & & & \\ Case 3 & & & & & & & & & & & & & \\ and 4 & 9.3 & 51 & 36 & 6.9 & 49 & 6.7 & 35 & 1.6 & 0.2 & 1.0 & - & 100 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Combustible waste quality settings. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **Sewage** & **Thickened Sludge** & **Fermentation Sludge** & **Dewatered Sludge** & **Incinerated** \\ \hline Moisture & 99 & 33 & 33 & 2.5 & 0 \\ Organic content & 0.8 & 0.8 & 0.4 & 0.4 & 0 \\ Inorganic content & 0.2 & 0.2 & 0.2 & 0.2 & 0.2 \\ Total & 100 & 34 & 33.6 & 3.1 & 0.2 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Setting of sewage sludge components. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **Measure** & **Thickened Sludge** & **Fermentation Sludge** & **Dewatered Sludge** & **Incinerated** \\ \hline Moisture & 99 & 33 & 33 & 2.5 & 0 \\ Organic content & 0.8 & 0.8 & 0.4 & 0.4 & 0 \\ Inorganic content & 0.2 & 0.2 & 0.2 & 0.2 \\ Total & 100 & 34 & 33.6 & 3.1 & 0.2 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Material balance before and after fermentation. where  
OI = Output of the generator of the waste incineration plant [kW]  
CLIHV = Lower heating value of combustible waste [kJ/kg]  
SI = Scale of incinerator treatment [t/D]. The output of biogas power generation in sewage treatment facilities was calculated using Equations (4) and (5) based on the components of sewage sludge shown in Table 2. The gas conversion of food waste was 0.84 Nm\({}^{3}\)/kg-digestion VS for food waste, the gas conversion of sewage sludge was 0.55 Nm\({}^{3}\)/kg-input VS for thickened sludge, the lower calorific value of biogas was 22,000 kJ/Nm\({}^{3}\), and the efficiency of biogas power generation was 37%.