# Household Energy Management
## 4 Simulation Studies of the EEM Algorithm for a Single Household  
### Assumptions  
Considering that currently a small number of types of intelligent appliances are used in households, simulation tests of the EEM algorithm were carried out under the following assumptions:  
1. Simulation studies were conducted in an environment developed for the evaluation of energy management algorithms.
2. Appliance control with EEM algorithm in the scope of DSM & R will only apply to its activation or deactivation. Practically it can be ensured by using for each appliance a separate intelligent socket, available on the market, meeting the assumptions of e.g., Fibaro Wall Plug [36]. This type of socket also allows the EEM algorithm to obtain the measurements of the current power consumed by the appliance. It can also, by highlighting it with an appropriate color, fulfill an information function for the user about the price level for energy, e.g., green--cheap energy, yellow--expensive energy, red--very expensive energy.
3. During one day, 10 energy consumers with parameters specified in Table 1 will be used. For TV, kettle and induction hob, changes in their power over time were determined on the basis of measurements. For other appliances, their power changes over time were determined on the basis of [37]. All data were available with an interval of 1 min.  
4. \(\Delta P_{\text{{H}}\text{{s}}}\) = 0.2 kW.
5. Appliances for which \(t_{\text{{s}}}\) > 0 will be able to be switched on with a time offset from 0 to \(t_{\text{{s}}}\).
6. In the household under analysis, the ToU price program operates with three time zones (\(t\_z\)) and energy charges are applicable in them (Table 2). This tariff applies throughout the year. On weekends and holidays the time zone \(t\_z=1\) applies.  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Appliance** & \(P_{A\_NOM}\) **[kW]** & \(P_{A\_MIN}\) **[kW]** & \(pr\) & \(t_{\text{{s}}}\) **[h]** \\ \hline \multicolumn{5}{c}{Turmed on and off by appropriate automation systems to maintain the set temperature value or turned off by EEM} \\ \hline air conditioner & 2.2 & 0 & 2 & 0 \\ boiler & 1.5 & 0 & 1 & 0 \\ fridge & 0.06 & 0 & 3 & 0 \\ \hline \multicolumn{5}{c}{Enabled or disabled by the user or EEM} \\ \hline dishwasher & 0.06 \(\div\) 2.3 * & 0 & 2 & 9 \\ dryer & 0.06 \(\div\) 2.3 * & 0 & 2 & 19 \\ induction hob & 0.7 \(\div\) 3.0 * & 0 & 5 & 0 \\ kettle & 2.0 & 0 & 5 & 0 \\ microwave & 0.1 \(\div\) 2.3 * & 0 & 4 & 0 \\ TV & 0.1 & 0 & 4 & 0 \\ washing machine & 0.3 \(\div\) 2.3 * & 0 & 2 & 19 \\ \hline \hline \end{tabular}  
* \(P_{A\_NOM}\)—depending on the subprogram performed by the appliance.
* \(\Delta P_{\text{{H}}\text{{s}}}\) = 0.2 kW.
* \(\Delta P_{\text{{H}}\text{{s}}}\) = 0.  
For the EEM1 algorithm, the following \(P_{lmax}\) values were adopted: for \(t\_z\) = 2 \(P_{hmax}\) = 5 kW, and for \(t\_z\) = 3 \(P_{hmax}\) = 3 kW.
* For the EEM2 algorithm, it was assumed that \(P_{h\_DSO}\) = 1 kW, \(t_{DR1}\) = 17:30 and \(t_{DR2}\) = 18:30.
* In the household are installed photovoltaic panels (PV) with a total capacity of 2880 W with inverter equipped with a management module. Data on PV power generation were determined as of 16 November 2020 [38].
* \(P_{RES\_DSO}\) = 5 kW.