Modeling and Simulation of Household Appliances Power Consumption
Abstract
:Featured Application
Abstract
1. Introduction
2. Methodology
2.1. Continuous Power Consumption Household Appliances
2.2. Discontinuous Power Consumption Household Appliances
- Simulation of the number of power consumptions of each element, where the probability of each integer value is based on the ratio of the previous count.
- If the above-simulated value is greater than or equal to 1, the duration of each count and its start time are simulated, also based on the data previously collected.
- Simulation of 300 sets of random consumptions according to the duration of the consumptions and their associated distribution, comparing their average value with the average of the real values.
- Calculation of the percentage of error by Equation (16).
3. Case study
4. Results
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Symbols and Acronyms
μ | Mean |
σ | Standard deviation |
Normal cumulative distribution function | |
Observed cumulative frequency | |
Probability density function | |
Upper difference between the observed cumulative frequency and normal cumulative Distribution | |
Lower difference between the observed cumulative frequency and normal cumulative distribution | |
Maximum difference between the observed cumulative frequency and normal cumulative distribution | |
Maximum tabulated difference between the observed cumulative frequency and normal cumulative distribution | |
Coefficient of significance | |
Tabulated expression which determines | |
Expected frequency | |
Observed frequency | |
α | Level of significance |
n | Number of samples |
λ | Rate parameter |
β | Scale factor |
α | Shape factor |
μl | Location factor |
λa | Skewness shape factor |
αd | Distribution shape factor |
X2 | Chi square |
X2α(k-r-1) | Tabulated chi square |
DR | Demand Response |
HVAC | Heating, ventilating and air condition |
SVM | Support-vector machines |
POE | Post Occupancy Evaluation |
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A | |||
---|---|---|---|
Model | 0.1 | 0.05 | 0.01 |
General | 1.224 | 1.358 | 1.628 |
Normal | 0.819 | 0.895 | 1.035 |
Exponential | 0.990 | 1.094 | 1.308 |
Weibull n = 10 | 0.760 | 0.819 | 0.944 |
Weibull n = 20 | 0.779 | 0.843 | 0.973 |
Weibull n = 50 | 0.790 | 0.856 | 0.988 |
0.803 | 0.874 | 1.007 |
Distribution | k(n) |
---|---|
General | |
Normal | |
Exponential | |
Weibull |
Appliance | Type of Consumption | Type of Days | Amount of Data |
---|---|---|---|
Lightning | Continuous | Working days | 45 |
Saturdays | 9 | ||
Sundays | 9 | ||
Refrigerator | Continuous | Working days | 45 |
Saturdays | 9 | ||
Sundays | 9 | ||
HVAC | Continuous | Working days | 45 |
Saturdays | 9 | ||
Sundays | 9 | ||
Dryer | Occasional | Working days | 45 |
Washing machine | Occasional | Working days | 45 |
Dishwasher | Occasional | Working days | 45 |
Appliance | Type of Day | Duration | Error |
---|---|---|---|
Lightning | Working day | All day | 3.81% |
Saturdays | All day | 4.26% | |
Sundays | All day | 4.27% | |
Refrigerator | Working day | All day | 3.91% |
Saturdays | All day | 3.33% | |
Sundays | All day | 3.61% | |
HVAC | Working day | All day | 5.55% |
Saturdays | All day | 4.72% | |
Sundays | All day | 4.03% | |
Dryer | Working days | 40 min | 1.17% |
Washing machine | Working days | 10 min | 1.04% |
70 min | 0.78% | ||
Dishwasher | Working days | 30 min | 2.33% |
40 min | 0.78% |
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Villanueva, D.; San-Facundo, D.; Miguez-García, E.; Fernández-Otero, A. Modeling and Simulation of Household Appliances Power Consumption. Appl. Sci. 2022, 12, 3689. https://doi.org/10.3390/app12073689
Villanueva D, San-Facundo D, Miguez-García E, Fernández-Otero A. Modeling and Simulation of Household Appliances Power Consumption. Applied Sciences. 2022; 12(7):3689. https://doi.org/10.3390/app12073689
Chicago/Turabian StyleVillanueva, Daniel, Diego San-Facundo, Edelmiro Miguez-García, and Antonio Fernández-Otero. 2022. "Modeling and Simulation of Household Appliances Power Consumption" Applied Sciences 12, no. 7: 3689. https://doi.org/10.3390/app12073689