Abstract

This work presents an optimization framework based on mixed-integer programming techniques for a smart home’s optimal energy management. In particular, through a cost-minimization objective function, the developed approach determines the optimal day-ahead energy scheduling of all load types that can be either inelastic or can take part in demand response programs and the charging/discharging programs of an electric vehicle and energy storage. The underlying energy system can also interact with the power grid, exchanging electricity through sales and purchases. The smart home’s energy system also incorporates renewable energy sources in the form of wind and solar power, which generate electrical energy that can be either directly consumed for the home’s requirements, directed to the batteries for charging needs (storage, electric vehicles), or sold back to the power grid for acquiring revenues. Three short-term forecasting processes are implemented for real-time prices, photovoltaics, and wind generation. The forecasting model is built on the hybrid combination of the K-medoids algorithm and Elman neural network. K-medoids performs clustering of the training set and is used for input selection. The forecasting is held via the neural network. The results indicate that different renewables’ availability highly influences the optimal demand allocation, renewables-based energy allocation, and the charging–discharging cycle of the energy storage and electric vehicle.

Highlights

  • IntroductionPublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations

  • The total daily load equals around 115.4 kWh, peak load amounts to 7.46 kW at 01:00, and the lowest load, being equal to 1.61 kW, is reported at 17:45 when only uncontrollable power loads and sensors are activated

  • The model is formulated as a mixed-integer linear programming (MILP) model, and the model’s objective concerns the minimization of the total net daily cost of the system, employing an intra-hourly time step

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. This work is based on the development of an optimization approach, namely, a MILP model, for optimal smart home energy management, including all types of smart loads (uncontrollable loads, curtailable, adjustable, uninterruptible and independent loads, uninterruptible and dependent loads, and thermostatic ones), RES, in the form of wind and photovoltaic power contribution, ESS, EV, and energy exchanges with the power grid. The developed modeling framework has been assessed on an illustrative case study, including a summer and a winter day, to demonstrate its applicability and effectiveness It aims at capturing the time dynamics and interdependencies among the load scheduling, the flexibility provided by EVs and ESSs, the renewable energy contribution, and the interaction with the power grid.

Mathematical Model Formulation
Demand Balance
Energy Storage Modeling
Electric Vehicles Modeling
Renewable Generation and Interaction with the Grid
Load Types
Curtailable Loads
Adjustable Loads
Uninterruptible and Independent Loads
Uninterruptible and Dependent Loads
Thermostatic Loads
Peak Load
Forecasting Processes
Case Study
Results
Winter Day
Summer Day
Conclusions

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