Probabilistic energy consumption analysis in buildings using point
estimate method
Mohammad Javad Bordbari, Ali Reza Seifi, Mohammad Rastegar
*
Department of Power and Control, School of Electrical and Computer Engineering, Shiraz University, Zand St., Shiraz, Iran
article info
Article history:
Received 10 June 2017
Received in revised form
5 October 2017
Accepted 20 October 2017
Keywords:
Energy efficiency
Energy consumption analysis
Energy cost
Thermal comfort
Two-point estimate method
abstract
This paper analyzes the energy consumption of buildings considering the uncertainty of structural and
environmental parameters. To this end, two-point estimate method (2PEM) is used to model the un-
certainties. EnergyPlus software is used in this paper to evaluate the energy consumption, the thermal
comfort, and the energy cost of a building. We examine the proposed method in a retail building to show
the effectiveness of the method in comparison with the Monte-Carlo Simulation and deterministic
methods. The results show that the 2PEM method although may cause a bit accuracy loss, it can
considerably reduce the simulation time by more than 97%. In addition, a sensitivity analysis is effec-
tuated in this paper to investigate the impacts of different climate zones on the results of energy con-
sumption analysis.
© 2017 Elsevier Ltd. All rights reserved.
1. Introduction
The high incremental rate of energy consumption and lack of
fossil fuels, as the main source of energy, may lead to a life-
threatening event in upcoming years. According to forecasts of
International Energy Outlook organization [1], the rate of world
energy consumption will increase about 45% from 2017 to 2040. In
addition, if the consumption of fossil fuels is going on with the
current rate, these resources will end by 2030 [2]. Energy efficiency
analysis (EEA) has been recently proposed as a promising solution
to mitigate the criticality of energy consumption [3]. This analysis
makes the energy consumption more efficient by minimizing the
energy losses on the consumers' side.
Since around 40% of the worldwide energy is consumed in the
buildings, i.e., residential and commercial demands [1,4] these
buildings can play an important role in the EEA procedure. In
addition, the average energy consumption of buildings grows 2.2%/
year, which is more than other sectors. It makes the role of build-
ings more important in the energy analysis.
The first step in EEA of buildings is energy consumption analysis
(ECA), as studied in Refs. [5e20]. ECA calculates the energy
consumption of a building using different structural and thermal
parameters to find a solution for the loss reduction. Recently, this
calculation is done in the strong simulation-based programs such
as Energy Plus and BLAST [21e26]. As stated in Refs. [27e30], a part
of considered parameters in ECA analysis depends on consumers'
daily habit and thermal conditions. It adds some amount of un-
certainty to the analysis, which makes ECA more complex.
Few papers are available in the technical literature considering
the uncertainty in the ECA of buildings [21e23]. In Ref. [21], Monte
Carlo Simulation (MCS) method is used to consider the uncertainty
of 6 parameters, such as cooling set point, equipment density, fan
efficiency and Coil cooling cop, in the evaluation of the consumed
energy in a building. Other parameters, such as infiltration rate,
people density, and U-Value roof are assumed fixed in the study.
Thus, curve-fitting method is used to predict energy consumption
according to the results of applying MCS. In Ref. [22], the Monte
Carlo Simulation (MCS) method is used to generate a set of
regression equations to evaluate the energy consumption. The MCS
method uses numerous random values, extracted from the proba-
bility distribution function (PDF) of the uncertain parameters to
calculate the PDF of the consumed energy. Although MCS is the
simplest way to model uncertainties, it would have computational
complexities and be time-consuming, if the number of uncertain
parameters increased [31]. For this reason, the sensitivity indices
and Meta-model is used in Ref. [23] to decrease the number of
uncertain parameters. In addition, in Ref. [21], first, a sensitivity
* Corresponding author.
E-mail addresses: m.j.bordbari@shirazu.ac.ir (M.J. Bordbari), seifi@shirazu.ac.ir
(A.R. Seifi), mohammadrastegar@shirazu.ac.ir (M. Rastegar).
Contents lists available at ScienceDirect
Energy
journal homepage: www.elsevier.com/locate/energy
https://doi.org/10.1016/j.energy.2017.10.091
0360-5442/© 2017 Elsevier Ltd. All rights reserved.
Energy 142 (2018) 716e722