## 4 Results
### Energy Analysis
The resulting total electric energy consumption \(E_{tot}\) can be seen in Table 10, where also the electric energy consumption of the heat pump \(E_{hp}\), of the primary pump \(E_{aux,1}\) and of the secondary pump \(E_{aux,2}\) are listed. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Heat Pump Data** & \multicolumn{3}{c}{**Nominal Condition**} \\ \hline \(P_{el,nom}\) & 1.6 kW & \(T_{w,in,evap}\) = 12 \({}^{\circ}\)C & \(T_{w,out,evap}\) = 5 \({}^{\circ}\)C \\ \(P_{t,nom}\) & 6.8 kW & \(T_{w,in,cond}\) = 30 \({}^{\circ}\)C & \(T_{w,out,cond}\) = 35 \({}^{\circ}\)C \\ COP\({}_{nom}\) & 4.25 & & \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Nominal data of the considered water-to-water heat pump. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \multirow{2}{*}{\begin{tabular}{c} **Type of** \\ **Building** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Type of** \\ **Radiant** \\ **System** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Constant Supply Water Temperature** \\ **Equ** \\ **(kWh)** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Water Temperature** \\ **Equ** \\ **(kWh)** \\ \end{tabular} } & \multirow{2}{*}{\
\begin{tabular}{c} **Climatic Control** \\ **(kWh)** \\ \end{tabular} } & \multirow{2}{*}{
\begin{tabular}{c} **\(\Delta E_{tot}\)** \\ **(kWh)** \\ \end{tabular} } \\ \hline \multirow{3}{*}{N} & FW & 841 & 31 & 11 & 883 & 757 & 31 & 17 & 806 & \(-8.7\%\) \\  & FD & 820 & 32 & 16 & 868 & 750 & 32 & 26 & 807 & \(-6.9\%\) \\  & C & 960 & 30 & 13 & 1003 & 844 & 30 & 21 & 896 & \(-10.8\%\) \\ \hline \multirow{3}{*}{I-M} & FW & 333 & 13 & 4 & 351 & 313 & 13 & 6 & 333 & \(-5.1\%\) \\  & FD & 342 & 14 & 8 & 365 & 318 & 14 & 12 & 344 & \(-5.6\%\) \\  & C & 385 & 14 & 7 & 406 & 351 & 14 & 11 & 375 & \(-7.6\%\) \\ \hline \multirow{3}{*}{I-E} & FW & 295 & 12 & 4 & 311 & 275 & 12 & 6 & 293 & \(-5.9\%\) \\  & FD & 303 & 13 & 7 & 323 & 282 & 12 & 10 & 304 & \(-5.6\%\) \\  & C & 338 & 12 & 6 & 356 & 307 & 12 & 9 & 329 & \(-7.7\%\) \\ \hline \multirow{3}{*}{I-I} & FW & 292 & 12 & 4 & 308 & 274 & 12 & 5 & 291 & \(-5.3\%\) \\  & FD & 300 & 12 & 7 & 319 & 281 & 12 & 10 & 304 & \(-4.8\%\) \\  & C & 337 & 12 & 6 & 355 & 307 & 12 & 9 & 329 & \(-7.6\%\) \\ \hline \multirow{3}{*}{WI-E} & FW & 179 & 7 & 3 & 189 & 169 & 7 & 4 & 180 & \(-4.9\%\) \\  & FD & 180 & 8 & 4 & 191 & 169 & 8 & 5 & 182 & \(-4.8\%\) \\  & C & 208 & 8 & 4 & 220 & 189 & 8 & 5 & 202 & \(-8.1\%\) \\ \hline \multirow{3}{*}{WI-I} & FW & 181 & 7 & 3 & 191 & 173 & 8 & 4 & 185 & \(-3.1\%\) \\  & FD & 184 & 8 & 4 & 196 & 173 & 8 & 6 & 187 & \(-4.6\%\) \\  & C & 212 & 8 & 4 & 223 & 196 & 8 & 5 & 209 & \(-6.4\%\) \\ \hline \multirow{3}{*}{WI-X} & FW & 148 & 6 & 2 & 156 & 141 & 6 & 3 & 150 & \(-4.0\%\) \\  & FD & 151 & 6 & 3 & 160 & 143 & 6 & 4 & 154 & \(-3.7\%\) \\  & C & 168 & 6 & 3 & 177 & 156 & 6 & 4 & 167 & \(-6.0\%\) \\ \hline \multirow{3}{*}{WI-L} & FW & 170 & 7 & 2 & 179 & 159 & 7 & 3 & 170 & \(-5.4\%\) \\  & FD & 171 & 7 & 4 & 182 & 161 & 7 & 5 & 173 & \(-4.8\%\) \\  & C & 191 & 7 & 3 & 202 & 176 & 7 & 5 & 189 & \(-6.6\%\) \\ \hline \end{tabular}
\end{table} 
Table 10: Electric energy consumptions and percentage difference between climatic control and constant supply water temperature. Figure 10: Heat pump electric energy consumption and seasonal performance factor with constant supply water temperature and climatic control. If the generator of the heating system is a heat pump and the radiant circuits are properly designed, the increase of the operation time of the secondary loop with climatic control instead of constant supply water temperature is in any case balanced by the reduction of the consumption of the heat pump due to the lower water temperature. Considering the ceiling system, the climatic control modality ensures a reduction of the total electric energy consumption of about 11%, 8%, and 7% for the non-insulated, insulated and well-insulated buildings, respectively. With the floor systems the reduction is about 8%, 5%, and 4%, respectively.