# Household Energy Management
## 4 Simulation Studies of the EEM Algorithm for a Single Household
### Results of Evaluation Studies  
The evaluation tests were carried out using the prosumer block and were divided into two groups. In the first group, research was conducted for a household powered only by NPS. The second group of tests concerns a household powered by NPS and RES. In the first group the tests consisted of recording in time the power values consumed by the connected appliances for two cases:  
* The appliances were switched on automatically or by users during one day taking into account the properties of the ToU price program (Table 2). * The appliances were switched on as in the first case, but with the EEM1 algorithms working (for \(t\_z=2\) and \(t\_z=3\)) and EEM2 in hours from 17:30 to 18:30. For the first case (Figure 10), the appliances (Table 1) were switched on and off by their respective automation systems, ensuring that the correct air and water temperature were maintained. Other devices were turned on by users, taking into account their needs and prices for electricity, specified in the ToU price program (Table 2). The devices were turned off as a result of the program being terminated or by the user. For the second case (Figure 10), the EEM1 algorithm, for \(t\_z=2\), lasting from 7:00 to 10:00, proposed to postpone the start of the washing machine and dryer from 7:15 am 21:00 (\(t\_z=1\)). This proposal was accepted by the user. In the same time zone at 9:15, when the boiler (8:42) was turned on earlier and the dishwasher (9:06) sooner, the air conditioner was reported to work. This meant exceeding \(P_{hmax}=5\) kW. For the period of turning on the air conditioner, the EEM1 algorithm turned off the boiler, which is assigned a lower priority than the air conditioner and dishwasher. For \(t\_z=3\) at 10:00, the dishwasher was reported to work with the air conditioner and boiler already on, which meant exceeding  
Figure 10: An example of the course of power consumed by appliances in the household without renewable energy sources (RES) and with the Time-of-Use (ToU) pricing program, using the EEM algorithms. \(P_{hmax}=3\) kW. EEM1 proposed postponing the start of the dishwasher to 16:26 (\(t\_z=2\)), which was accepted by the user. At 10:15 the air conditioner was reported to work, which caused the boiler to be turned off by EEM1. The boiler automatically turned on again at the end of \(t\_z=3\). At other times \(t\_z=3\) EEM1 did not interfere with the operation of the air conditioner and refrigerator, because the value of \(P_{hmax}=3\) kW was not exceeded. In zone \(t\_z=2\), lasting from 14:00 to 17:00 and from 17.00 to 17.30 (\(t\_z=3\)) there was no interference from EEM1, because the total power of the appliances switched on at any time did not exceed the value of \(P_{hmax}=5\) kW. The EEM2 algorithm worked at \(t\_z=3\), minimizing the power consumed by the appliances from 17:30 to 18:30 so that the power consumed during this time by the consumers' appliances switched on is not greater than \(P_{h\_DSO}=1\) kW. Minimization of power consumed during this period of time was associated with turning off the boiler and blocking the re-activation of the boiler and any other appliance (in this case, the air conditioner), which would exceed \(P_{h\_DSO}=1\) kW. During this time, only the fridge and TV were on. At 18:30 the boiler has been switched on again. From now until 21:00 the EEM1 algorithm worked again, causing the boiler to turn off at 19:08 when the air conditioner was turned on. At 19:52 the boiler turned off again as a result of turning on the microwave, kettle and air conditioner in turn. The EEM1 algorithm allowed the boiler to be switched on again at 20:14. At 20:23 the boiler was turned off by the automation after reaching the set temperature. In the second group, simulation tests were carried out for the same defined two cases as in the first group. In the first case, the appliances were turned on and off in the same way as in the first group of tests.