doi : 10.25007/ajnu.v7n4a284 Academic Journal of Nawroz University (AJNU) 153 Mathematical Modeling for Prediction of Heating and Air-Conditioning Energies of Multistory Buildings in Duhok City Neven E. Zaya 1 , Lokman H. Hassan 2 , Halis Bilgil 3 1 College of Mathematics, Aksaray University Aksaray-Turkey 2 Technical College of Administration, Duhok Polytechnic University Duhok, Kurdistan Region - Iraq 3 College of Mathematics, Aksaray University Aksaray – Turkey ABSTRACT Present endeavor is devoted to estimate the air-conditioning and heating energies or loads of modern buildings in Duhok City, Iraq using new mathematical models. Many parameters have been considered in current modeling, namely, area of building, number of storeys and types of the common materials of the building walls. Regression analysis is performed to formulate new mathematical linear and nonlinear models for the loads. In addition, Fuzzy logic is utilized in the third model employing Sugeno's regulation. The outcomes reveal that the reasonable matching is achieved between the proposed models and mechanical engineering analytical solutions of heating and air- conditioning standards. Consequently, high correlation coefficient as more than 85% is determined between the predicted values of the models and analytical results. The linear model shows perfect matching with the analytical outputs more than the other proposed mathematical formulations. KEYWORDS : heating and air-conditioning energies, multistory building, mathematical modeling, fuzzy logic, regression analysis. 1. INTRODUCTION The quickened urbanization in human living styles has increased the demand for electrical energy or power utilized in buildings (Chaowen and Dong, 2015). Air- conditioning system in building is accounted for 40%- 60% of the total electrical power consumption (Scotton, 2012; Wu, 2012). This energy consumption is affected by the materials used in building construction based on their heat transfer (Committees et al., 2009). The estimation of the required energy for air-conditioning and heating systems in developing countries such as Iraq is essential strategy due to the limitation of energy cost and global warning phenomenon (Housing, 2012; Joudi, 1996). Nowadays, tedious methods are used to predict the required energy for air-conditioning and heating loads in buildings. Accordingly, many parameters must be taken into account in these methodologies such as the type of constructional materials and their coefficients of heat transfer, outdoor and indoor temperatures and humidity, number of occupants (persons), lightening, etc (Committees et al., 2009; Housing, 2012). Many works have been recently launched to estimate the required electrical power for air-conditioning and heating systems of buildings in various zones over the world. Mathematical models have been introduced in those studies using different statistical and mathematical concepts such as multiple linear regression, nonlinear regression, fuzzy logic analysis, etc. Several investigations (Al-Shallawi, 2004; Catalina et al., 2013; Catalina et al., 2008; Chou and Bui, 2014; Dong et al., 2005; Hui, 1997; Jain et al., 2014; Korolija et al., 2013; Lam et al., 2010; Li et al., 2009a, b; Puchkal and Jurmanov, 2013; Wu and Sun, 2012; Yiu and Wang, 2007) have been published concerning the mathematical modeling of heating and air-conditioning energies of buildings via statistical regression analysis. Fuzzy logic mathematical model is also utilized to predict these loads by other researchers (Costa and La Neve, 2015; Dexter and Benouarets, 1996; Fraisse and Virgone, 1997; Huang et al., 2009; Kolokotsa et al., 2006; Li et al., 2011; Lopez et al., 2004; Ngo and Dexter, 1999; Rezeka et al., 2015; Xu and Zhou, 2012). The formulation of simple mathematical models to evaluate air-conditioning and heating loads of buildings is necessary to be used in lieu of aforementioned ponderous methods. The proposed models should be compatible with the modern commonly used materials Academic Journal of Nawroz University (AJNU) Volume 7, No 4 (2018). Regular research paper : Published 21 December 2018 Corresponding author’s e-mail : nevenzaya@yahoo.com Copyright ©2017 Neven E. Zaya 1 , Lokman H. Hassan 2 , Halis Bilgil 3 . This is an open access article distributed under the Creative Commons Attribution License.