# Thermal Model of a House using Electric Circuits Analogy

### Xhilda Merkaj, Darjon Dhamo, Eglantina KalluÃ§i

#### Abstract

The aim of this paper is to produce a thermal model of a house using electrical circuit analogy which gives information about indoor temperatures and power consumption of electrical heater in each room of the house. The information obtained from the power consumption of each electrical heater serves to estimate the peak consumption which gives problems in the grid. The house under survey has 5 rooms: a bedroom, a bathroom, a kitchen, a living-room, and an anteroom. The layers of internal and external walls, windows, roofs and floors are thermal modeling into electrical components from which a circuit is assembled. Using node voltage method in each circuit a state space equations are obtained, each of this equations are simulated in MATLAB environment considering electrical heater time of use based on occupant behavior. Having this model allows us to simulate the change of temperature of each room, design efficiency the controls algorithm and estimates peak consumption for improving its reduction.

Download#### Paper Citation

#### in Harvard Style

Merkaj X., Dhamo D. and KalluÃ§i E. (2021). **Thermal Model of a House using Electric Circuits Analogy**. In *Proceedings of the 10th International Conference on Smart Cities and Green ICT Systems - Volume 1: SMARTGREENS,* ISBN 978-989-758-512-8, pages 81-88. DOI: 10.5220/0010401000810088

#### in Bibtex Style

@conference{smartgreens21,

author={Xhilda Merkaj and Darjon Dhamo and Eglantina KalluÃ§i},

title={Thermal Model of a House using Electric Circuits Analogy},

booktitle={Proceedings of the 10th International Conference on Smart Cities and Green ICT Systems - Volume 1: SMARTGREENS,},

year={2021},

pages={81-88},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0010401000810088},

isbn={978-989-758-512-8},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Smart Cities and Green ICT Systems - Volume 1: SMARTGREENS,

TI - Thermal Model of a House using Electric Circuits Analogy

SN - 978-989-758-512-8

AU - Merkaj X.

AU - Dhamo D.

AU - KalluÃ§i E.

PY - 2021

SP - 81

EP - 88

DO - 10.5220/0010401000810088