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A sensitivity analysis of a cost optimality study on the energy retrofit of a single-family reference building in Portugal

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Abstract

Improvement of the energy efficiency of residential buildings must ensure compliance with cost optimality criteria, assuming a specific lifespan of the building. At the same time, the energy retrofit of buildings ought to preserve their intrinsic architectural and heritage value. Portuguese residential buildings constructed before 1960 did not follow any energy efficiency rules. They represent 29% of the housing stock in the country and there is a high potential for increasing their energy efficiency. However, it costs more to implement envelope energy efficiency measures through retrofitting works than to provide for them in new buildings. An evaluation based on cost optimality criteria should therefore be performed. This work evaluates the energy performance of a Portuguese reference building typical of the pre-1960 building stock for different thicknesses of thermal insulation retrofit solutions (roof, facade, and ground floor) and systems. The study describes a sensitivity analysis that took a range of climate data, intervention costs, energy prices, discount rates, and energy needs into account. An energy needs factor dealt with the occupants’ habits and the effective reduction of energy consumption compared with the estimated energy needs.

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Notes

  1. APCMC—Associação Portuguesa dos Comerciantes de Materiais de Construção; APIRAC—Associação Portuguesa da Indústria da Refrigeração e Ar Condicionado

  2. CYPE—Software for Architecture, Engineering and Construction

Abbreviations

AC:

air conditioner

DGEG:

General Directorate for Energy and Geology

DHW:

domestic hot water

ECS:

Energy Certification System

EH:

electric heater

EPBD:

Energy Performance in Buildings Directive

EPCs:

energy performance certificates

EPS:

expanded polystyrene

EU:

European Union

FIN:

financial perspective

GB:

gas boiler

GW:

glass fiber

GWH:

gas water heater

HDD:

heating degree days [°C day]

HP:

heat pump

ICB:

expanded cork board

ICB-MD:

expanded cork board (medium density)

ICESD:

Survey on Energy Consumption in the Domestic Sector

INE:

National Statistics Institute

MAC:

macroeconomic perspective

MW:

mineral wool

NPV:

net present value

PE:

primary energy

PEF:

primary energy conversion factor

PUR:

polyurethane foam

VAT:

value-added tax

XPS:

extruded polystyrene

ψ:

linear thermal transmittance [W/m°C]

C i, j :

annual costs [€]

D i :

discount factor

E h, k :

heating energy needs [kWh/(m2 year)]

E w, k :

domestic hot water energy production [kWh/(m2 year)]

F s, j :

glazing obstruction factor associated with the orientation j

GHG i, j :

carbon emission cost [€]

G s :

monthly solar energy on a south vertical surface [kWh/(m2 month)]

H ecs :

heat loss to elements in contact with the ground [W/°C]

H enu :

heat loss to unheated spaces and to adjacent buildings [W/°C]

H ext :

heat loss to the outside [W/°C]

H tr, i :

overall transmission coefficient of heat transfer [W/°C]

H ve, i :

overall coefficient of heat transfer from ventilation [W/°C]

I j :

initial investment costs [€]

K :

number of systems

P :

conversion factor between final energy and primary energy

P d :

height of ceilings [m]

Q int, i :

internal solar gains [kWh/year]

Q sol, i :

glazing solar gains [kWh/year]

Q tr, i :

heat transfer coefficient by transmission [kWh/year]

Q ve, i :

heat transfer coefficient by ventilation [kWh/year]

R ph :

nominal rate of renewal of indoor air in the heating season [h−1]

V τ, j :

residual value associated with each measure [€]

a H :

function of thermal inertia of the building class [W/°C]

f h, k :

percentage of the energy needs for space heating [%]

f w, k :

percentage of the energy needs DHW [%]

q int :

average internal thermal gain per area [W/m2]

η H, gn :

gain utilization factor

η :

efficiency

A:

area [m2]

CO2 :

carbon dioxide

gw :

solar factor of the glazing

r :

thermal resistance [(m2 °C)/W]

U:

thermal transmittance [W/(m2 °C)]

X:

orientation factor

G(τ):

global cost [€]

M :

duration of the heating season [months]

NM :

number of measures

R :

real discount rate [%]

e :

thickness [m]

λ :

thermal conductivity [W/(m °C)]

τ :

calculation period [years]

e:

vertical opaque envelope

f:

floor

h :

space heating

max:

maximum requirement

optimum:

cost-optimal solution

r:

roof

ref.:

reference

w:

windows

j :

corresponds to the each orientation

k :

single energy source/system

w :

domestic hot water

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Funding

The first author is grateful for the financial support provided by the Ciência sem Fronteiras program and acknowledges the support of Conselho Nacional de Desenvolvimento Científico e Tecnológico through doctoral degree grant 237489/2012-0 and Fundação de Amparo à Pesquisa do Estado de São Paulo through grant PIPE—2016/00880-9 (Brazil). This research work has also been supported by the Operational Programme for Competitiveness and Internationalization (COMPETE 2020, Portugal 2020), through the European Regional Development Fund under research project POCI-01-0247-FEDER-003408 (Slimframe PV & Cork Skin).

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Tadeu, S., Tadeu, A., Simões, N. et al. A sensitivity analysis of a cost optimality study on the energy retrofit of a single-family reference building in Portugal. Energy Efficiency 11, 1411–1432 (2018). https://doi.org/10.1007/s12053-018-9645-5

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