Optimization of External Envelope Insulation Thickness: a Parametric Study

Almost four years after the implementation deadline of the energy performance of buildings Directive recast (2010/31/EU) and after being referred to the Court of Justice of the EU by the European Commission, Greece has not yet proceeded with the necessary calculations and legislative measures on the minimum, cost-optimal energy performance requirements for buildings. This paper aims to identify the optimal thickness of insulation that is cost-effective to apply in urban multi-family domestic buildings in the four climate zones of Greece. A reference building is selected in order to perform calculations over ten scenarios of external insulation thickness for each climate zone on a basic and three sensitivity analysis calculations according to the EU comparative methodology framework. The resulting energy savings for each insulation scenario are calculated, and then the cost-effectiveness of the measure is examined in financial and macroeconomic perspective for an economic lifecycle of 30 years. The results demonstrate the inadequacy of the national regulation's current insulation limits and the externalities (funding gaps) that need to be addressed in order to achieve the effective improvement of energy efficiency in Greek homes.


Introduction
The European Parliament and Council Directive on the energy performance of buildings-EPBD (recast) [1] represents a strong commitment for reducing the energy consumption and improving the energy efficiency of the European building stock.The Directive set minimum requirements of energy performance for buildings and building components and furthermore established clearly nearly zero energy buildings (nZEBs) as a political target for all Member States.To guide Member States in the definition of minimum energy performance requirements, the European Commission issued a Comparative Methodology Framework provided in Articles 3, 4 and 5 and Annex III of the Directive, the Delegated Regulation (EU) No 244/2012 [2] and its accompanying guidelines [3].
The task of setting minimum energy performance requirements translates to the exploration of a huge number of design solutions so approaches aiming to reduce the analysis efforts soon emerged with many attempts utilizing simulation-based optimization [4,5].Even though the nZEB target seems to be still quite far off when taking into account cost-optimality [6,7], minimum energy performance requirements can be seen as a first step towards the achievement of this target.
Almost four years after the EPBD recast implementation deadline (21st of March, 2013) and after being referred to the Court of Justice of the EU by the European Commission, Greece has not yet provided the required reports on cost-optimality to the European Commission while all other Member States have done so.According to the Hellenic Statistical Authority [8], "2,903,594 Greek dwellings (45.6%) have no insulation at all".Under the current circumstances of economic and social crisis in Greece energy efficiency measures-starting with a well-insulated envelope-are pivotal for the alleviation of fuel poverty, the improvement of health and productivity, as well as the creation of new local jobs to boost the economy.
Greek legislation on energy efficiency of buildings was firstly introduced in 1979 with the Thermal Insulation of Buildings Regulation-TIBR [9], which set targets for the U-Values of the building and its components, as well as the door/window frames used on the construction.TIBR also recommended measures for the effective installation of the insulating material on the building's envelope emphasizing on the occupants' comfort, the rational consumption of energy for heating and air-conditioning and the reduction of air pollution.However, it did not introduce measures on buildings constructed before 1980, which account for about 45%-46% of the national building stock in terms of floor area [10].
The TIBR was to be replaced by the Regulation on the rational use and energy conservation in buildings (KOXEE in Greek) which was introduced in 1998 by a Common Ministerial Decision [11].KOXEE was completed in 2002 by The Ministry of Growth and the Center for Renewable Energy Sources (CRES) and received public review in 2004, but was never implemented.Instead, it changed its name and was used as a draft for the current Regulation on the energy performance of buildings (KENAK in Greek) [12] which was issued in 2010 [13].
KENAK acknowledged for the first time-and proposed-the integrated energy design of buildings in an attempt to increase their energy efficiency, save energy and protect the environment.The regulation also sets requirements on Energy Certification and divides the country into four climate zones (Figure 1) depending on prevailing climate conditions (Table 1).The methodology applied for the calculation of the energy performance of buildings was supposed to be revised on a regular basis with the first revision to be made on April 2012.However, such revision has not occurred yet.To facilitate the implementation of KENAK, four technical guidelines were issued by the Technical Chamber of Greece (TEE) , in addition to the development of a national software tool called TEE-KENAK.crisis in Greece energy efficiency measures-starting with a well-insulated envelope-are pivotal for the alleviation of fuel poverty, the improvement of health and productivity, as well as the creation of new local jobs to boost the economy.
Greek legislation on energy efficiency of buildings was firstly introduced in 1979 with the Thermal Insulation of Buildings Regulation-TIBR [9], which set targets for the U-Values of the building and its components, as well as the door/window frames used on the construction.TIBR also recommended measures for the effective installation of the insulating material on the building's envelope emphasizing on the occupants' comfort, the rational consumption of energy for heating and air-conditioning and the reduction of air pollution.However, it did not introduce measures on buildings constructed before 1980, which account for about 45%-46% of the national building stock in terms of floor area [10].The TIBR was to be replaced by the Regulation on the rational use and energy conservation in buildings (KOXEE in Greek) which was introduced in 1998 by a Common Ministerial Decision [11].KOXEE was completed in 2002 by The Ministry of Growth and the Center for Renewable Energy Sources (CRES) and received public review in 2004, but was never implemented.Instead, it changed its name and was used as a draft for the current Regulation on the Energy Performance of Buildings (KENAK in Greek) [12] which was issued in 2010 [13].
KENAK acknowledged for the first time-and proposed-the integrated energy design of buildings in an attempt to increase their energy efficiency, save energy and protect the environment.The regulation also sets requirements on Energy Certification and divides the country into four climate zones (Figure 1) depending on prevailing climate conditions (Table 1).The methodology applied for the calculation of the energy performance of buildings was supposed to be revised on a regular basis with the first revision to be made on April 2012.However, such revision has not occurred yet.To facilitate the implementation of KENAK, four technical guidelines were issued by the Technical Chamber of Greece (TEE) , in addition to the development of a national software tool called TEE-KENAK.This paper aims to define the optimal thickness of insulating protection that is cost-effective to apply in typical Greek, urban, multi-family buildings, based on a parametric study conducted using the European Commission's proposed guidelines, as described in the following sections.

EU Official Comparative Methodology Framework
Articles 3, 4 and 5 of the EPBD recast [1] outline the general methodology framework for the calculation of the cost-optimal minimum energy performance requirements for buildings and building components.Annex I provides additional information, while Annex III specifies the following necessary steps: 1.
define energy efficiency measures to be assessed for the reference buildings, 3.
assess the final and primary energy need of the reference buildings with the defined energy efficiency measures applied and 4.
calculate the costs (i.e., the net present value) of the energy efficiency measures during the expected economic lifecycle applied to the reference buildings by applying the comparative methodology framework principles.
the energy performance of the applied measures will be calculated by the energy needed for heating, cooling, ventilation, domestic hot water and lighting systems 2.
the resulting primary energy use will be calculated using primary energy conversion factors established at national levels 3.
energy performance results shall be expressed in square meters of useful floor area of the reference building and refer to primary energy demand 4.
both macroeconomic and financial calculations shall be executed 5.
the discount rates to be used shall be determined after the performance of at least two sensitivity analyses with different rates 6.
the cost categories to be included in the calculations are initial investment costs, running costs, energy costs, disposal costs and cost of greenhouse gas emissions (macroeconomic calculation only) 7.
in projecting energy costs developments, the energy price development forecasts of annex II shall be used 8.
cost data shall be market-based and coherent as regards location and time, expressed in real terms (excluding inflation) 9.
a calculation period of 30 years for residential buildings shall be used For the purpose of this research the above factors have been customized to the Greek conditions and standards and also limited to new residential multi-family buildings in urban areas.The costs of the materials used (which also include application and not only the cost of supply) were defined after an extensive analysis of the Greek market to match the conventional Greek construction techniques.Their thermal/physical characteristics (Table A2) were in line with the TEE technical guidelines [14][15][16][17].For the energy consumption calculations, the official asset rating software TEE KENAK was used, which follows the ISO 13790 standard [18].
Except for the gradual increase of the insulation thickness and its likely additional costs, any other cost regarding the building materials, electromechanical systems, door/window frames etc. is not taken into account to emphasize on the insulation's impact on overall energy expenditure and consecutive savings.Technological advances that could lead in a reduction of wall insulation purchase and placement costs are also ignored since in the 30 years of the considered economic lifecycle, typically, a cost of replacement for wall insulation materials doesn't exist.Furthermore, the residual value of the insulating material at the end of the calculation period is considered to be zero.Finally, future energy prices were based on EU's Reference scenario on energy, transport and GHG emissions [19] and the cost of greenhouse gas emissions was defined according to the Table provided in Annex II of the Commission Delegated Regulation (EU) No 244/2012 [2,20].In order for this study to be comparable with existing and future publications in the same field (optimal characteristics of the building's energy consumption related factors) the official methodological approach of cost-optimality required by the European community's norms is followed and consequently, cost-effectiveness of the measures by BCR, IRR, ROI and TOI calculations is not examined in this paper.

Reference Building
The Reference Building used for the energy simulation and cost calculations is a four storey multi-family residential building on pilotis (Figure A1a), representative for the Greek building standards [21] according to statistical information.It houses nine medium-size apartments on the first, second and third floor (Figure A1b) and two small studios on an open terrace at the fourth floor (Figure A2a).The building's main façade (Figure A3a) is on an 11 m wide street (typical for Greek cities) and its orientation is South.The building is attached to neighboring ones of the same height (15 m) on its two smaller sides and its back façade (Figure A3b) faces the open space of the city block.All apartments have balconies on the front and the back and there is a central non-heated staircase and lift compartment for entrance access to them.Tables 2 and 3 summarize the main characteristics and measurements of the reference building, as described above.Detailed drawings of the reference building can be found on Appendix A (Figures A1-A4).

Insulation Scenarios
Current KENAK requirements regarding U-Values of building elements [15] (p.44) are translated to minimum insulation thicknesses of about 5 (climate zone A) to 8 cm (climate zone D) for standard reinforced concrete-masonry constructions such as the reference building described in the previous section.To support the validity of this study, a wide range of insulation thickness levels was examined, to support the validity of this study.For each one of the four climate zones of Greece (Figure 1) ten scenarios of insulation thickness were set, starting from 3 cm (a step below the requirements of KENAK for climate zone A) with a gradual increase step of 2 cm.This led to the following (nine plus one) figures-insulation scenarios: 3, 5, 7, 9, 11, 13, 15, 17, 19 cm of insulation and an additional 25 cm scenario, to ensure that U-values at the level of Passive House requirement (0.15 W/m 2 •K for walls) or in line with other North-European countries are also considered.It should be noted that for Greek building techniques a figure over 9 cm of wall insulation is currently considered exaggerated.However, given the EU targets on Energy Efficiency and nearly Zero Energy Buildings (nZEBs) and current practices on other European countries it is considered useful to include higher thicknesses in the parametric study.The insulation material used is Extruded Polystyrene Foam (XPS)-most commonly used on the Greek construction industry-and it is placed externally on the building envelope to minimize the appearance of thermal bridges.

Energy Requirement Calculation
The U values of the building elements (as provided in Table A1) were calculated according to the insulation thickness of the ten scenarios and the thermal/physical characteristics of building materials (Table A2).Then, the above values and other parameters (e.g., thermal bridges, undesired ventilation through openings, reference heating, cooling and domestic hot water systems) were inserted to the official national energy calculation tool TEE KENAK, in order to define the annual final energy consumption per fuel for heating, cooling and domestic hot water of the whole building for each Climate Zone, for each scenario (Table 4).To internalize environmental benefits, the final energy consumption per fuel as shown in Table 4 had to be converted to primary energy requirements, using the appropriate factors from the TEE technical guidelines [15] (p.12).Therefore, final electricity consumption was multiplied by 2.9 and final heating oil consumption by 1.1 to produce primary energy requirement figures per fuel.Results of the total energy requirements of the reference building in annual primary energy (KWh/m 2 ) and CO 2 emissions (Kg/m 2 ) are represented in Figure 2.For the macroeconomic calculation, an additional cost category of greenhouse gas emissions is introduced".Therefore, Global Cost represents the Total Cost of the above cost categories in present value.Starting from 2016, a 30-year reference period is set (typical renovation cycle for domestic buildings with relatively stable bank interest rates).Sensitivity analyses are performed for different interest rates and energy prices.
According to economic theory, the discount rate should be equal to the opportunity cost of this investment compared to other investment plans or funds.A low interest rate of around 2%-4% (in real terms) reflects more accurately the benefits of the investment throughout its economic lifecycle and in a society scale.On the other side, a highest discount rate reflects a purely commercial shortterm approach to investment appraisal.For the basic scenario of the financial calculations the interest rate used was that of Greek 30-year bonds, thought to be the most profitable investment, which was 6.5% in July 2016 [22].For the sensitivity analyses an interest rate of 13% (double of 6.5%) was used, in line with other Member States choices for cost-optimal calculations [23].For the macroeconomic calculations, in addition to the mandatory 3% for the basic scenario, the second value used was 4% as a socially accepted interest rate in line with the European Commission's guidelines on impact assessment [24].This value corresponds to the average real return of macroeconomic debt in the European Union since the early 1980s.For the annual increase rate of future energy prices the values 2.8% and 4% were used [20].

Financial Calculation
The financial calculation will demonstrate the limitations of the investment to the private investor.Therefore, the values taken into account are those paid by the customer including all applicable taxes (VAT and taxes).Subsidies are ignored, since they do not remain the same over time.As stated before, interest rates of 6.5% and 13% (in real terms) are combined with an annual increase of 2.8% and 4% for the energy prices to create one basic and three sensitivity analysis scenarios, in order to investigate the influence of interest rates and future energy prices on the conclusions (Table 5).

Interest Rates
Cost-optimal level is specified in Article 2.14 of the EPBD recast [1] as "The energy performance level which leads to the lowest cost during the estimated economic lifecycle".In Article 2 of the European Commission Delegated Regulation (EU) No 244/2012 [2] it is stated that "Global cost means the sum of the present value of the initial investment costs, sum of running costs, and replacement costs (referred to the starting year), as well as disposal costs if applicable.
For the macroeconomic calculation, an additional cost category of greenhouse gas emissions is introduced".Therefore, Global Cost represents the Total Cost of the above cost categories in present value.Starting from 2016, a 30-year reference period is set (typical renovation cycle for domestic buildings with relatively stable bank interest rates).Sensitivity analyses are performed for different interest rates and energy prices.
According to economic theory, the discount rate should be equal to the opportunity cost of this investment compared to other investment plans or funds.A low interest rate of around 2%-4% (in real terms) reflects more accurately the benefits of the investment throughout its economic lifecycle and in a society scale.On the other side, a highest discount rate reflects a purely commercial short-term approach to investment appraisal.For the basic scenario of the financial calculations the interest rate used was that of Greek 30-year bonds, thought to be the most profitable investment, which was 6.5% in July 2016 [22].For the sensitivity analyses an interest rate of 13% (double of 6.5%) was used, in line with other Member States choices for cost-optimal calculations [23].For the macroeconomic calculations, in addition to the mandatory 3% for the basic scenario, the second value used was 4% as a socially accepted interest rate in line with the European Commission's guidelines on impact assessment [24].This value corresponds to the average real return of macroeconomic debt in the European Union since the early 1980s.For the annual increase rate of future energy prices the values 2.8% and 4% were used [20].

Financial Calculation
The financial calculation will demonstrate the limitations of the investment to the private investor.Therefore, the values taken into account are those paid by the customer including all applicable taxes (VAT and taxes).Subsidies are ignored, since they do not remain the same over time.As stated before, interest rates of 6.5% and 13% (in real terms) are combined with an annual increase of 2.8% and 4% for the energy prices to create one basic and three sensitivity analysis scenarios, in order to investigate the influence of interest rates and future energy prices on the conclusions (Table 5).The Global Cost of the investment is calculated as [2]: where: t means the calculation period Ct means global cost referred to the starting year over the calculation period C I means initial investment cost for measure j C a,i (j) means annual cost during year i for measure j V f ,τ (j) means residual value of measure j R d (i) means discount factor for year i based on discount rate r to be calculated as: where: p means the number of years from the starting period and r means the real discount rate

Macroeconomic Calculation
The macroeconomic calculation aims to assist in the preparation and documentation of the definition of generally applicable minimum energy performance requirements from the broader perspective of the public interest according to which the investment in energy efficiency and its associated costs and benefits are assessed in relation to other alternative policies, also taking into account the externalities which may exist.The values used for the calculations (e.g., cost of materials) exclude all applicable taxes (VAT and taxes) and an additional cost category of carbon emissions is added to the equation [20].Other externalities which may exist could be market barriers-conditions (costs) and increased value of property, energy security, employment creation, improved indoor climate, health and comfort (benefits).The official methodology leaves on Member States the flexibility to include or not such externalities in the macroeconomic perspective via e.g., lower interest rates (for co-benefits).Therefore, interest rates of 3% and 4% (in real terms) are combined with an annual increase of 2.8% and 4% for the energy prices to create one basic and three sensitivity analysis scenarios (Table 6).
The Global Cost of the investment is now calculated using the following equation [12]: C c,i (j) means carbon cost for measure or set of measures j during year i

Initial and Annual Running Costs
For the Global cost calculations according to Equations ( 1) and ( 3), the initial investment cost per square meter was defined for each insulation scenario based on construction practices and market research on available prices (Table 7).The annual operating costs which consist of the energy cost for heating, cooling and hot water use, where defined using official prices of the electricity and heating oil (Table 8) per KWh of primary energy use as analyzed per fuel source on energy consumption calculations.For the electricity, the price stands for a single phase supply for residential use in the 0-800 KWh scale (four months period) [25].For the heating oil, taking into account its calorific value of 11.9 kWh/lt and assuming a typical 90% COP for boilers, it is estimated that 0,093 liters account for 1 KWh of thermal energy.The heating oil allowance and social Public Power Corporation tariffs are not taken into account in the calculations, since they do not apply to all households and can vary significantly for a reference period of 30 years that is set. 1 Initial investment cost per square meter was calculated using prices for materials and application on walls, pilotis, terrace and floors according to the surfaces of the reference building.An example of the calculation for the 7 cm scenario can be found on Appendix B (Table A3).

Results
For the financial calculations the prices (initial cost of materials and application, as well as energy costs for electricity and heating oil) were used including taxes and the annual operating costs of the reference building were then reduced to their present value according to the interest rates for the Basic Calculation and the three sensitivity analyses (Table 5), as presented in Section 4.2.The sum of the above amounts represents the Global Cost of the Investment in present value for a 30-year time of investigation.For the macroeconomic calculations the prices were used without taxes and the additional cost category of CO 2 emissions was taken into account using prices defined by the European Commission [20] (p.117).The cost-optimal minimum insulation requirements for each Climate Zone are shown in Tables 9 and 10.

Discussion
The U values of the building elements decrease by around 75% before the 5th insulation scenario (11 cm XPS).Respectively, proportionally highest energy savings of the Reference Building in all Climate Zones occur before the 5th-7th insulation thickness scenario as shown in Figure 2a.Thus, the potential of large energy savings even with small thicknesses of insulating material is clearly visible, considering that almost half of the existing buildings in Greece have no insulating protection at all.
Regarding the cost-optimal calculations, Figures A5 and A6 (Appendix C) show that the general form and turning points of the Global Investment Cost curves are not affected much by the different rates applied on the Basic and Sensitivity analysis calculations.However, these rates (interest rates, energy prices increase rates) determine the curve's shift upwards or downwards because they represent the factors that affect future annual costs, while the initial cost of the investment remains the same on all calculations of the same Climate Zone.
The comparative analysis of the results of the cost-optimal calculations reveals several important trends worth mentioning.In Sensitivity Analysis 3, increases on future energy prices are compensated by the higher interest rate and the Global Cost of the investment in present value remains, cumulatively, low.On the other hand, expensive energy prices combined with low interest rates (Sensitivity Analysis 1) skyrocket the Global Cost and cost-optimum levels are found in higher thicknesses of insulation that will provide higher energy savings and will minimize future operating costs.On Sensitivity Analysis 2 a favorable investment environment is presented: a higher interest rate is combined with reasonable future energy prices.In that case, cost-optimum levels are found earlier on the insulation scenarios since the initial cost of the investment matters more.
Cost-optimal levels of insulation differ between the financial and the macroeconomic calculation by as much as two insulation scenarios in the case of Climate Zone B (Tables 9 and 10).These results indicate the need for financial support, essential to cover existing funding gaps to make the energy efficiency of Greek buildings a competitive market sector.The fact that both the optimal insulation thickness levels, as well as the Global Cost of the investment divagate so much between the financial and the macroeconomic calculations, is a proof that the existing externalities are very important and should be seriously considered.
The results of the cost-optimal calculations also demonstrate the existing differences between the four Climate Zones.These are observed, not only on the cost-optimal levels of insulation, but also on the Global Investment Cost and its composition from the initial investment cost and the annual energy costs.In Figure 3, the composition of the total investment cost (initial and sum of annual energy costs) is demonstrated for the four climate zones.It is easily observed that for climate zones A and B, the initial cost of the investment is much more important, in comparison with climate zones C and D, where future annual energy savings play the leading role.Future research should concentrate on the cost-optimality of other energy efficiency measures, such as the replacement of doors and windows, heating boilers, installation of solar thermal systems etc.Moreover, further sensitivity analyses should be performed, variating financial data according to future economic situations.Finally, new dynamic methods for the assessment of energy efficiency measures should be considered, such as optimization coupled with dynamic simulation, to avoid extensive parametric studies and find solutions adapted to the building's specific characteristics [27].

Conclusions
Based on the above, several conclusions can be drawn and are summarized in the following points:

•
Proportionally, U values of the building elements decrease and cause highest energy savings (~75%) before the 5th-7th scenario (11-15 cm of insulation).This fact indicates that buildings could save a very large amount of energy even with small thicknesses of insulating material.

•
In each climate zone, the Global Cost of the investment -which is expressed by the curve's shift upwards or downwards-depends largely on the interest rates and future energy prices, whereas its cost-optimal levels of insulation-that are expressed by the curve's form and turning points-are not affected much by these factors.

•
On all four climate zones, cost-optimal level is observed between the third and eighth insulation scenarios (7-17 cm), higher than the current regulation's requirements.Thus, more rigorous national energy efficiency requirements are needed in order to create much needed local jobs, healthier indoor environment and happier people, instead of obstructing the recovery of the Greek economy as believed.

•
The comparison between financial and macroeconomic results demonstrates funding gaps and other externalities/barriers on the market, necessary to be tackled in order to increase competitiveness of energy efficiency measures in Greek buildings.

•
The approach on the buildings' energy efficiency measures to be implemented should vary between the four climate zones considering their differences in prevailing climate conditions.In climate zones C and D, nZEBs seem to be much easier to implement using a well-insulated envelope, rather than on climate zones A and B, where weather conditions are milder and other energy efficiency measures could result in being more effective.Finally, results show that even though on climate zone D cost-optimum insulation levels seem to approximate the "nZEB" insulation (25 cm XPS), on climate zones A, B and C, where weather conditions are milder (Table 1), the need for excessive thermal protection and future energy savings is limited and higher insulation thickness increases a lot the initial cost of the investment without delivering significant results.
Future research should concentrate on the cost-optimality of other energy efficiency measures, such as the replacement of doors and windows, heating boilers, installation of solar thermal systems etc.Moreover, further sensitivity analyses should be performed, variating financial data according to future economic situations.Finally, new dynamic methods for the assessment of energy efficiency measures should be considered, such as optimization coupled with dynamic simulation, to avoid extensive parametric studies and find solutions adapted to the building's specific characteristics [27].

Conclusions
Based on the above, several conclusions can be drawn and are summarized in the following points:

•
Proportionally, U values of the building elements decrease and cause highest energy savings (~75%) before the 5th-7th scenario (11-15 cm of insulation).This fact indicates that buildings could save a very large amount of energy even with small thicknesses of insulating material.

•
In each climate zone, the Global Cost of the investment -which is expressed by the curve's shift upwards or downwards-depends largely on the interest rates and future energy prices, whereas its cost-optimal levels of insulation-that are expressed by the curve's form and turning points-are not affected much by these factors.
• On all four climate zones, cost-optimal level is observed between the third and eighth insulation scenarios (7-17 cm), higher than the current regulation's requirements.Thus, more rigorous national energy efficiency requirements are needed in order to create much needed local jobs, healthier indoor environment and happier people, instead of obstructing the recovery of the Greek economy as believed.

•
The comparison between financial and macroeconomic results demonstrates funding gaps and other externalities/barriers on the market, necessary to be tackled in order to increase competitiveness of energy efficiency measures in Greek buildings.

•
The approach on the buildings' energy efficiency measures to be implemented should vary between the four climate zones considering their differences in prevailing climate conditions.In climate zones C and D, nZEBs seem to be much easier to implement using a well-insulated envelope, rather than on climate zones A and B, where weather conditions are milder and other energy efficiency measures could result in being more effective.

Figure 1 .
Figure 1.The four climate zones of Greece according to the KENAK regulation.Figure 1.The four climate zones of Greece according to the KENAK regulation.

Figure 1 .
Figure 1.The four climate zones of Greece according to the KENAK regulation.Figure 1.The four climate zones of Greece according to the KENAK regulation.

Figure 2 .
Figure 2. Results of (a) primary energy consumption in Kwh/m 2 and (b) CO2 emissions in Kg/m 2 of the reference building for the 10 insulation scenarios on each climate zone.

Figure 2 .
Figure 2. Results of (a) primary energy consumption in Kwh/m 2 and (b) CO 2 emissions in Kg/m 2 of the reference building for the 10 insulation scenarios on each climate zone.

Figure 3 .
Figure 3. Global cost composition in present value for the Basic (a) financial and (b) macroeconomic calculation in the four climate zones of Greece.

Figure 3 .
Figure 3. Global cost composition in present value for the Basic (a) financial and (b) macroeconomic calculation in the four climate zones of Greece.

Figure A1 .
Figure A1.Reference building drawings of (a) the pilotis-ground floor level plan and (b) the typical floor plan (1st, 2nd and 3rd floor).

Figure A4 .
Figure A4.Reference building drawings of (a) section plane A-A' and (b) section plane B-B'.

Figure A6 .
Figure A6.Results of the macroeconomic calculation presented graphically for (a) Heraklion (climate zone A); (b) Athens (climate zone B); (c) Thessaloniki (climate zone C) and (d) Kastoria (climate zone D).

Table 1 .
Annual Heating Degree Days (HDD) and Cooling Degree Days (CDD) for the representative cities of the four Greek climatic zones 1 .
1Base temperatures used are 18 • C for HDD and 26 • C for CDD.

Table 2 .
Area distribution of the reference building per floor.

Table 3 .
Main characteristics of the Reference Building.

Table 4 .
Final energy consumption in electricity/heating oil of the reference building (in KWh/m 2 ) 1 .

Table 5 .
Financial calculation scenarios based on influence factors.

Table 6 .
Macroeconomic calculation scenarios based on influence factors.

Table 7 .
Initial investment cost in €/m 2 for each insulation scenario 1 .

Table 9 .
Cost-optimal levels of insulation thickness (in cm) for the financial calculations1.Financial and macroeconomic Global Cost calculations are also presented graphically in Appendix C.

Table 10 .
Cost-optimal levels of insulation thickness (in cm) for the macroeconomic calculations 1 .
1Financial and macroeconomic Global Cost calculations are also presented graphically in Appendix C.

Table A1 .
U values of the reference building's elements for each insulation scenario (W/m 2 K).

Table A1 .
U values of the reference building's elements for each insulation scenario (W/m 2 K).

Table A2 .
[14]mal/physical characteristics of building materials used on the reference building[14].

Table A3 .
Example of initial cost calculation for the 7 cm insulation scenario, with and without taxes.

Table A2 .
[14]mal/physical characteristics of building materials used on the reference building[14].

Table A3 .
Example of initial cost calculation for the 7 cm insulation scenario, with and without taxes.