Multivariate stochastic modeling of washing machine loads profile in Iran

• Stochastic modeling of domestic loads in specific residential area is investigated.
• Multivariable probability distribution function is used.
• Correlation of different weekdays and 24 h are considered simultaneously.
• Applying Monte Carlo technique in order to generate different samples.

The present paper, investigates the stochastic modeling of the domestic electrical load profile in a residential area. The Domestic Load Modeling (DLM) methodologies are more complicated compared to the industrial, commercial and agricultural load modeling. Domestic loads contain a wide diversity of loads that exist in every household consuming a remarkable portion of the overall domestic consumption. Diversity of domestic loads has created different consumption patterns with variable usage timing and duration caused by miscellaneous factors. The intuitive uncertainty in DLM is the main motivation to apply Domestic Loads Stochastic Modeling (DLSM) in the present paper. This study uses multivariable probability distribution function. Additionally, simultaneous correlation between different weekdays and different hours of a day has been performed. Monte Carlo technique is applied in order to generate different samples for domestic electrical load profile. As a result, the behavior of domestic electrical load profile for all residents in a region was estimated based on a limited number of questionnaires using DLSM. The study was performed for the Ekbatan residential complex in Tehran, Iran.