MILP Approach in Analysis of Low Energy Building Elements Influence on Energy Savings in Residences

K.K. Pantovic (Serbia)


LCC, MILP, present value, energy savings, optimization Nomenclature B - fossil-fuel/ electrical central heating boiler, bj - life span of j equipment (year) Bj - present value factor for j equipment costs (-) C - cooker, constant CADD - additional electricity tariff (€/kWh) Cl - present value of l variable cost (€) CH - central heating device CPV - present value of cost (€) HDW - individual boiler for domestic hot-water HE - heat exchanger HP - heat pump air/air HS - building envelo


Mixed Integer Linear Programming (MILP) is used for optimization of global energy system of two-family residence, located in Kragujevac, Serbia and energy, equipment and building element prices valid at Serbian and German market in year 2000. The mathematical model of global energy system in residences includes energy demand for space heating/cooling, cooking, and heating of domestic water, lighting and running of appliances as well as various types of energy and equipment to perform energy demands. Introducing binary coefficients α all practical energy systems in residences are represented in the mathematical model. Mathematical model is linearized and optimized by using MILP where the objective function is the Life Cycle Cost (LCC). The scope of investigation includes model analysis for different types of building elements while energy and equipment prices are constant. Model is analyzed for single, double or triple glazed windows, pearlite, and mineral wool insulation. At Serbian energy market, high equipment and building element cost and unbalanced ratio of energy prices have the greatest influence on selection of optimal energy system and absence of energy savings. Use of this model gives optimal investment in building energy system and steps, which Serbian society must take over to yield energy savings.

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