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Article

A Study on Economic Evaluation of Design Elements of Zero-Energy Buildings According to Energy Consumption and Production

1
College of Electrical and Electronic Computers, Sangmyung University, Seoul 03016, Republic of Korea
2
Division of Architecture and Urban Design, Incheon National University, Incheon 22012, Republic of Korea
*
Authors to whom correspondence should be addressed.
Appl. Sci. 2023, 13(12), 7309; https://doi.org/10.3390/app13127309
Submission received: 19 April 2023 / Revised: 25 May 2023 / Accepted: 29 May 2023 / Published: 20 June 2023
(This article belongs to the Section Energy Science and Technology)

Abstract

:
In order to expand the zero-energy building, it is necessary to evaluate the economic feasibility of the passive and active elements applied to achieve the zero-energy building. The purpose of this study is to verify the final energy consumption and investment cost of a building according to the change of passive and active elements. In this study, the final energy consumption was calculated by region for the passive element S/V ratio (surface-to-volume ratio), the building’s orientation, and the active element (building-integrated photovoltaic) for the Department of Energy reference building type using simulations. In addition, the change in investment cost according to changes in energy consumption and production was calculated. As a result of the study, it was reasonable to invest in passive elements rather than active elements in the central region of Korea, and it was confirmed that investment in active elements was highly economical in the southern region of Korea. It is expected that the results of this study can be used as a guideline to enable the economic analysis of design elements in the design of zero-energy buildings.

1. Introduction

In the 29 member countries of the International Energy Agency, energy consumption in the building sector accounts for about 40% of the total energy consumption, which raises an urgent need to reduce energy consumption in the building sector. A zero-energy building is a building that minimizes the energy load by maximizing insulation performance and minimizes energy consumption by producing renewable energy such as solar power, as shown in Figure 1 [1,2,3]. The dictionary meaning of a zero-energy building is that the sum of energy production and consumption should be zero; however, a building that minimizes energy consumption is considered a zero-energy building based on the economic feasibility and the current level of technology. In this case, an integrated design method considering the efficiency of energy production and consumption is required [4]. It is expected that zero-energy buildings will be generalized in the future, and this is being made mandatory in stages through various policies [5]. Therefore, in this study, the design factors that were considered in the design process of a zero-energy building are divided into a passive factor to reduce energy consumption and an active factor to increase energy production, and the budget of a limited project is divided into each design factor. We derived a method that can efficiently distribute energy.
To achieve a zero-energy building, energy consumption and production should be economically balanced. We conducted an economic evaluation by comparing the energy consumption and production of buildings according to the design factors of zero-energy buildings. In this study, the S/V ratio and windows among the passive elements and the solar system installation boundary condition among the active elements were selected as representative zero-energy building design elements. For these design factors, the final energy consumption was derived according to the orientation and location of the building. In addition, the change in energy consumption and production compared to the same cost was analyzed through the investment cost analysis of windows and photovoltaic systems (Figure 2).

2. Preliminary Review

2.1. Review of the ZEB Design Process

Design elements of ZEBs can be divided into passive elements (S/V) to reduce energy consumption and active elements to increase energy production. In the study of Choi, various types of buildings composed of 16 modules were analyzed to derive energy consumption according to the building S/V ratio [6]. As a result, as the adjacent area between modules increased, the energy consumption decreased, and it was confirmed that the square shape had the smallest energy consumption. According to a previous study, an active element was applied to buildings, and it was verified that the solar module can be applied to the building wall in the form of BIPV to reduce heating energy in winter and to produce hot water in summer. In the study of Lee [7] on optimal design of passive and active elements, a design process for a zero-energy building was derived. Through simulation, they verified that passive elements (S/V ratio of the same volume building, thermal transmittance rate of the building envelope) and active elements (solar panel installation capacity) should be applied integrally in the design stage. Lee [8,9] and Lee [10] established a zero-energy building design process according to the design elements by analyzing the design elements in consideration of the shape of the building, the area where the building is located, and the orientation of the building [11]. UBC (University of British Columbia) also considered the passive and active design elements for energy consumption analysis [12]. Energy consumption and energy production are not in a trade-off relationship, and it is necessary to adopt both in an interconnected method.

2.2. Previous Studies on Economic Evaluation

Studies have been conducted to understand the effect of changes in design elements on the economic feasibility of a zero-energy building. Yoon calculated the change in the heating and cooling load according to the thermal transmittance of the windows in an apartment house [13]. If the thermal transmittance rate of windows is reduced by about 26%, it takes about 14 years to recover the cost of construction increase to reduce heating and cooling costs. In addition, when applying the photovoltaic system, there was a difference of up to 2.1 times in the amount of photovoltaic power generation per month depending on the boundary conditions of the building. Due to this, the payback period for each generation varied from a minimum of 5 years to a maximum of 23 years [14].
As such, in the design process of a zero-energy building, the design element is directly related to the cost, and the economic feasibility according to the design factor change must be considered. Therefore, in this study, we evaluated the economic feasibility of each design element by calculating the energy consumption according to the change of the design element of a zero-energy building.

3. Energy and Economic Analysis Model

3.1. Reference Model for Economic Evaluation of ZEB Design Elements

The Korean Building Act includes the standard design for buildings. The standard design induces the standardization of construction and materials for the various building types. Similarly, the DOE presents 16 reference building models as a standard for energy analysis, as shown in Table 1.
The building types presented in Table 1 are models representing various building types. In particular, the reference building model of DOE complies with ASHRAE Standard 90.1-2004, making it is suitable for use as a reference model for energy simulation in this study [15]. In this study, to facilitate comparison by design elements, large offices and elementary schools were selected as models for comparing passive elements of zero-energy building design elements because of their suitability for rooftop solar and building-integrated photovoltaic module installation, and midrise apartment houses were selected as the target models for economic analysis. The midrise apartment house is a type that accounts for about 64.7% of Korean buildings, includes both passive and active elements, and is a model advantageous for economic analysis because its form is relatively standardized.

3.2. Simulation Model for Energy and Economic Analysis

In this study, DOE reference buildings of large office and primary school, a simulation model for passive elements analysis, were modified, as shown in Table 2, so that the S/V ratio can have different characteristics within the same volume [6,16].
The midrise apartment building has the form shown in Figure 3, in which 88.24 m2 of households are distributed on 4 floors with a total of 32 households. The window area ratio of the exterior wall is about 15%, and the model presented by the DOE was used without modification (Table 3).

3.3. Specification of Solar System for Simulation

This study used solar system as the active element because of its simplicity to install in new buildings. It is assumed that the rooftop solar module is installed so that sunlight is vertically incident on the panel, facing south from the building. It was also assumed that the building-integrated photovoltaic module was attached to the outer wall of the building and installed so as to form a vertical angle with the ground (Table 4). For solar power generation conditions, Reference Insolation 1000 W/m2 and NOCT (Nominal Operating Solar Cell Temperature) Insolation 800 W/m2 were applied.

3.4. Simulation Concept

Energy consumption and production were evaluated using TRNSYS (Figure 3) [17,18]. TRNSYS can dynamically analyze unsteady state and is suitable for this simulation as it is a commercial program that meets ANSI/ASHRAE Standard 140-2001. We chose two areas for building locations, Seoul and Busan, so that the climatic zones could be different, and the average value of the meteorological data for 30 years was applied. The heating set-point temperature is 20 °C and cooling set-point temperature is 26 °C. The air change rate is set as 0.5 per hour [19,20].
For the calculation of energy consumption, the thermal properties of envelopes for large office and primary school were applied as shown in Table 5. To calculate the energy consumption according to the direction of the building, the annual energy consumption was calculated for each of the 36 directions [21].
In the midrise apartment building, three types of panels, 260 W, 300 W, and 346 W, were used and increased in increments of 10% from 30% to 90% of the roof area in order to calculate the energy production due to the application of the photovoltaic system [22]. For economic analysis, we performed the simulations by analyzing the performance and unit price of two manufacturers for the passive and active elements, the window, and the solar system in the midrise apartment building [23,24]. The simulation model is shown in Figure 4.

4. Energy Consumption Analysis

4.1. Energy Consumption According to the Passive Elements

The energy consumption in Seoul and Busan for large offices and elementary schools was analyzed by building direction. In both Seoul and Busan, elementary schools with S/V ratios of 0.46, had a higher energy consumption than that of large offices with S/V ratios of 0.25. Additionally, the difference in energy consumption between the two building types is larger in Seoul than in Busan (Table 6). This means that in buildings with the same volume, the larger the area of cooling and heating energy, the greater the influence on the change in energy consumption according to the S/V ratio [25].
As for the energy consumption according to the direction of the building, for both building types, the direction with the highest energy consumption is northeast, and the direction with the lowest energy consumption is south (Figure 5).

4.2. Energy Production According to the Active Elements

The energy production is greater in elementary schools than in large offices located in the same area. This is because, even in buildings with the same volume, the determination of the solar installation capacity is dominated by the size of the roof area (Figure 6).
Depending on the building location, the energy production in Busan is greater than that in Seoul because the amount of insolation in Busan is higher than in Seoul. Therefore, in the design of zero-energy buildings, differences in production by region should be considered.
As for the energy production according to the orientation of the building, as shown in Table 7, the energy production is largest in the west and least in the northeast. This result is due to the installation of a building-integrated photovoltaic module, and assuming that the rooftop solar power is designed to face south, the power generation amount is the highest when the module installed on the side of a square building is a west-facing building that receives maximum sunlight hours. As a result, west-facing buildings produce more electricity in the afternoon when the sun sets than south-facing buildings, which can reduce dependence on external electricity during peak hours at 3 p.m.

4.3. Final Energy Consumption

The final energy requirements for both building types can be obtained by subtracting the energy production from the energy consumption. The energy consumption reduction rate was higher in elementary schools than in large offices because 617.5 kW of solar power was produced due to the large rooftop area of elementary schools compared to 402.8 kW produced in large offices. In addition, while the difference in energy production due to the active element by region is not large, the difference in energy consumption by the passive element is large, so the regional variation in the final energy consumption occurs. As a result, the final energy consumption in Busan, the southern region, is significantly reduced compared to Seoul in the central region, and the smaller the energy consumption, the higher the probability of achieving a zero-energy building (Figure 7).
Summarizing the results of this chapter, elementary schools in Seoul and Busan are at least 2% to 11% larger than large offices, and energy production is about 24% to 26% higher in elementary schools than large offices. As a result, the final energy consumption of elementary schools in Seoul is 7% higher than that of large offices, but in Busan, energy consumption of elementary schools is 7% lower than that of large offices (Table 8).

5. Economic Evaluation

5.1. Energy Consumption According to Window Replacement

Among the passive elements applied to midrise apartment houses, the change in energy consumption was derived by changing the thermal transmittance of windows. The change in energy consumption by windows and doors changes in proportion to the thermal transmittance rate of windows (Table 9). This trend is further intensified in the central region of Republic of Korea.

5.2. Changes in Investment Costs Due to Window Changes

By examining the price change of windows according to the change of the thermal transmittance of the windows, the energy saving effect of investment in passive elements was identified. The window model suitable for the thermal transmittance rate used in this simulation was selected from among the products reported by the Energy Consumption Efficiency Rating System of the Korea Energy Agency. The unit price of the window model was investigated by the Public Procurement Service’s Nara Marketplace and the manufacturer’s estimate. As a result of the investigation, the thermal transmittance rate and window cost are inversely proportional to the windows and doors of the same manufacturer and the same product family (synthetic resin frame, Miseogi) as shown in Table 10. As shown in Figure 8, there is a high correlation between the cost invested in windows and energy increase.

5.3. Changes in Investment Cost According to Solar Power Generation Equipment

The price of photovoltaic power generation devices was investigated in order to understand the energy increase and decrease effect on the investment of active elements. First, we selected the photovoltaic module among the photovoltaic power generation devices of the National Public Procurement Service. Next, we derived the standard unit price of the investment cost by converting the photovoltaic power generation device composed of the inverter and the connection panel to the unit price by capacity. As a result of examining the two manufacturers, the price of photovoltaic power generation equipment is similar to the unit price per kW. Like the passive element, the active element shows a very high correlation between investment cost and energy increase (Figure 9 and Table 11). The coefficients of determination of the product of manufacturer S and the product of manufacturer B were 0.9185 and 0.9925, respectively.

5.4. Changes in the Amount of Electricity Generated by Solar Power Investment in Window Investment Costs

Finally, we performed the economic feasibility analysis based on regions by synthesizing the change in energy consumption and investment cost due to the change of windows and the increase in energy production due to the investment in solar power generation equipment (Table 12). In Seoul, as the thermal transmittance rate of windows decreases from 1.000 W/m2K to 0.880 W/m2K, the cost increases by about KRW 9,211,815, and the energy consumption decreases by 3063 kWh/y. If the same cost is invested in a photovoltaic device, an additional 3.4 kW of capacity can be secured, which can produce 1373 kWh/y of energy. In this case, it makes economic sense to invest in passive elements because the decrease in energy consumption is 123% greater than the increase in energy production. In Busan, if the thermal transmittance of a window is reduced from 1.150 W/m2K to 1.000 W/m2K, the cost increases by about KRW 12,103,977, and the energy consumption decreases by 1074 kWh/y. A solar power unit for that cost is about 4.5 kW, which can produce 2060 kWh/y of energy. In this case, based on the same cost, investing in an increase in energy production rather than a decrease in energy consumption is 92% larger; therefore, investment in active elements is more economical.

6. Conclusions

When planning a zero-energy building, it is necessary to analyze design elements so that the final energy consumption considers not only the energy consumption of the building but also the energy production. In this study, we analyzed the S/V ratio of the building and the energy consumption according to the installation of windows and solar systems and performed economic evaluation. The results were as follows:
(1)
The variation in roof area, contingent upon the building type, directly impacts the energy production of the solar system. Consequently, elementary schools exhibit a higher rate of energy consumption reduction compared to large offices.
(2)
Although there is a small disparity in energy production among regions, the variation in energy consumption due to passive factors is substantial. Consequently, the final energy consumption of buildings located in the southern region of Republic of Korea is further reduced compared to those situated in the central region.
(3)
In regions with lower average temperatures such as the central region, changes in energy consumption are more pronounced in response to alterations in window heat transmittance. Hence, in the case of the central region, it has been verified that investing in passive elements such as windows is more justified than investing in active elements like solar systems.
(4)
Solar energy production is directly influenced by regional insolation levels and building orientation. Simulation results confirm that in regions with high solar radiation, such as the southern region, investing in active elements proves to be more cost-effective than investing in passive elements.
In the future, research should be carried out on design methods that consider various passive and active design elements and economic evaluation so that efficient designs can be made from the life cycle assessment (LCA) for a zero-energy building.

Author Contributions

Conceptualization, S.P.; methodology, S.P.; software, S.L.; validation, S.L. and S.P.; investigation, S.L.; data curation, S.L.; writing—original draft preparation, S.L.; writing—review and editing, S.L. And S.P.; visualization, S.L.; supervision, S.P.; project administration, S.P.; funding acquisition, S.P. All authors have read and agreed to the published version of the manuscript.

Funding

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (No. 2021R1I1A3050403).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Passive and active elements of zero-energy buildings.
Figure 1. Passive and active elements of zero-energy buildings.
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Figure 2. Research method.
Figure 2. Research method.
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Figure 3. Simulation model by TRNSYS: (a) energy consumption model; (b) energy production model.
Figure 3. Simulation model by TRNSYS: (a) energy consumption model; (b) energy production model.
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Figure 4. Simulation model of midrise apartment building: (a) perspective view; (b) elevation.
Figure 4. Simulation model of midrise apartment building: (a) perspective view; (b) elevation.
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Figure 5. Energy consumption at each orientation: (a) large office; (b) primary school.
Figure 5. Energy consumption at each orientation: (a) large office; (b) primary school.
Applsci 13 07309 g005aApplsci 13 07309 g005b
Figure 6. Energy production of each building type according to the location.
Figure 6. Energy production of each building type according to the location.
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Figure 7. Final energy consumption of each building type according to the location.
Figure 7. Final energy consumption of each building type according to the location.
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Figure 8. Coefficient of determination between window cost and energy demand variation.
Figure 8. Coefficient of determination between window cost and energy demand variation.
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Figure 9. Coefficient of determination between PV power plant cost and energy generation variation.
Figure 9. Coefficient of determination between PV power plant cost and energy generation variation.
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Table 1. DOE Reference Buildings.
Table 1. DOE Reference Buildings.
Building TypeTotal Floor Area
(m2)
Number of Floors
Large Office46,32012
Medium Office49823
Small Office5111
Warehouse48351
Stand-alone Retail23191
Strip Mall20901
Primary School68711
Secondary School19,5922
Supermarket41811
Quick Service Restaurant2321
Full Service Restaurant5111
Hospital22,4225
Outpatient Health Care38043
Small Hotel40134
Large Hotel11,3456
Midrise Apartment31354
Table 2. Modified properties of DOE Reference Buildings for simulation.
Table 2. Modified properties of DOE Reference Buildings for simulation.
PropertiesLarge
Office
Primary School
Floor area (m2)Original46,3206871
Modified36567312
Floors
(Story height = 4 m)
Original121
Modified42
Total floor area (m2)14,624 (3656 × 4)14,624 (7312 × 2)
Volume (m3)58,496
(3656 × 4 × 4)
58,496
(7312 × 4 × 2)
Surface area (m2)Wall607310,667
Window15231677
Roof36567312
Floor36567312
S/V ratio0.250.46
Table 3. Midrise apartment building model of DOE.
Table 3. Midrise apartment building model of DOE.
PropertiesCondition
Building Volume (m3)9651.56
Floor Area (m2)783.73
Floors4
Households Number8 for each story
Area of each Households (m2)88.24
Common Area (m2)311.27
Window-to-Wall Ratio (%)Southern14.7
Western13.5
Northern14.7
Eastern14.6
Table 4. Conditions for application of solar panels.
Table 4. Conditions for application of solar panels.
Building TypeRooftop PVBIPV
Area
(%)
Capacity
(kW)
South FacadeWest FacadeEast Facade
Area
(%)
Capacity
(kW)
Area
(%)
Capacity
(kW)
Area
(%)
Capacity
(kW)
Large Office70256.53062.73041.83041.8
Primary School70513.03043.73026.63034.2
Table 5. Thermal properties of walls and windows.
Table 5. Thermal properties of walls and windows.
PropertiesWall TypeTotal Thickness (m)U-Value
(W/m2K)
SeoulBusanSeoulBusan
Large
Office
Adjacent Ceiling0.3580.3300.2200.260
Adjacent Wall0.2070.1780.3600.450
Exterior Roof0.4800.4200.1500.180
Exterior Wall0.2700.2130.2600.320
Ground Floor0.4300.3700.2200.250
Window0.0260.0261.4002.300
Primary SchoolAdjacent Ceiling0.3580.3300.2200.260
Adjacent Wall0.2070.1780.3600.450
Exterior Roof0.4800.4200.1500.180
Exterior Wall0.2700.2130.2600.320
Ground Floor0.4300.3700.2200.250
Window0.0260.0261.4002.300
Table 6. Comparison of average energy demand (year sum, kJ/h).
Table 6. Comparison of average energy demand (year sum, kJ/h).
PropertiesHeating EnergyCooling EnergyLatent Heat EnergySum of Energy Demand
Large
Office
Seoul2,323,063,516364,261,629402,608,5423,089,933,688
Busan1,642,495,287728,342,476313,254,8862,684,092,649
Primary SchoolSeoul2,908,380,002126,817,459432,126,6243,467,324,085
Busan2,072,689,046319,291,962342,133,5362,734,114,545
Difference
Value
Seoul585,316,486−237,444,17029,518,082377,390,398
Busan430,193,759−409,050,51428,878,65150,021,896
Table 7. Energy production according to the orientation (year sum, kJ/h).
Table 7. Energy production according to the orientation (year sum, kJ/h).
PropertiesTypeLarge OfficePrimary School
LocationSeoulBusanSeoulBusan
Maximum energy productionEnergy Production [kJ/h]600,004,585747,771,046762,676,316914,300,619
Orientation [°]9090100100
Minimum energy productionEnergy Production [kJ/h]434,560,713506,904,344646,663,522745,810,532
Orientation [°]230250260260
Table 8. Sum of energy demand and generation (year sum, kJ/h).
Table 8. Sum of energy demand and generation (year sum, kJ/h).
Region and Building TypeAverage of Energy DemandAverage of Energy GenerationFinal Average of Energy Demand
SeoulLarge Office3,089,933,688520,313,9582,569,619,730
Primary School3,457,324,085706,353,3092,760,970,777
Difference of two values11%26%7%
Primary SchoolLarge Office3,502,698,245644,985,6572,857,712,588
3,198,209,7462,553,224,089
Primary School3,661,348,225852,889,8242,808,458,401
3,347,944,4462,495,054,622
Difference of two values4%24%2%
4%2%
Difference due to U-value change9%--
9%
BusanLarge Office2,684,092,649631,502,370205,590,279
Primary School2,734,114,545832,022,8401,902,091,705
Difference of two values2%24%7%
Table 9. Energy demand according to the thermal properties of windows and doors.
Table 9. Energy demand according to the thermal properties of windows and doors.
Simulation
Case
U-Value [W/m2K]Sum of
Energy Demand
[kWh]
Adjacent
Ceiling
Adjacent
Wall
Exterior
Roof
Exterior
Wall
Ground
Floor
Window
SeoulA0.2100.2400.1500.1700.1701.15085,732
B0.2100.2400.1500.1700.1701.00083,628
C0.2100.2400.1500.1700.1700.88080,565
IncheonD0.2100.2400.1500.1700.1701.15088,317
E0.2100.2400.1500.1700.1701.00085,971
F0.2100.2400.1500.1700.1700.88083,043
GwangjuG0.2600.3100.1800.2200.2201.51094,330
H0.2600.3100.1800.2200.2201.15092,943
I0.2600.3100.1800.2200.2201.00091,280
BusanJ0.2600.3100.1800.2200.2201.51082,366
K0.2600.3100.1800.2200.2201.15081,457
L0.2600.3100.1800.2200.2201.00080,383
Table 10. Window product cost by U-value.
Table 10. Window product cost by U-value.
Simulation CaseWindow U-Value
[W/m2K]
ManufacturerCost [KRW]
Seoul and
Incheon
A·D1.150K91,770,149
H97,116,420
B·E1.000K103,874,126
H99,986,733
C·F0.880K113,085,940
H109,004,019
Gwangju and
Busan
G·J1.510K84,370,083
H93,538,733
H·K1.150K91,770,149
H97,116,420
I·L1.000K103,874,126
H99,986,733
Table 11. PV product cost by capacity.
Table 11. PV product cost by capacity.
ManufacturerCapacity [kW]Cost [KRW]
S19.852,400,000
25.266,300,000
3079,400,000
35.192,000,000
40.5106,100,000
45125,000,000
50.4136,500,000
Average2,673,577/kW
B20.7652,400,000
25.9566,300,000
30.4479,400,000
35.9892,000,000
40.48106,100,000
45.67125,000,000
51.90136,400,000
Average2,618,043/kW
Table 12. Correlation between window U-value, energy demand, and cost.
Table 12. Correlation between window U-value, energy demand, and cost.
Simulation CaseWindow U-Value
[W/m2K]
Energy Demand
Sum [kWh]
ManufacturerCost [KRW]
SeoulA1.15085,732K91,770,149
H97,116,420
B1.00083,628K103,874,126
H99,986,733
C0.88080,565K113,085,940
H109,004,019
IncheonD1.15088,317K91,770,149
H97,116,420
E1.00085,971K103,874,126
H99,986,733
F0.88083,043K113,085,940
H109,004,019
GwangjuG1.51094,330K84,370,083
H93,538,733
H1.15092,943K91,770,149
H97,116,420
I1.00091,280K103,874,126
H99,986,733
BusanJ1.51082,366K84,370,083
H93,538,733
K1.15081,457K91,770,149
H97,116,420
L1.00080,383K103,874,126
H99,986,733
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Lee, S.; Park, S. A Study on Economic Evaluation of Design Elements of Zero-Energy Buildings According to Energy Consumption and Production. Appl. Sci. 2023, 13, 7309. https://doi.org/10.3390/app13127309

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Lee S, Park S. A Study on Economic Evaluation of Design Elements of Zero-Energy Buildings According to Energy Consumption and Production. Applied Sciences. 2023; 13(12):7309. https://doi.org/10.3390/app13127309

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Lee, Soonmyung, and Sanghoon Park. 2023. "A Study on Economic Evaluation of Design Elements of Zero-Energy Buildings According to Energy Consumption and Production" Applied Sciences 13, no. 12: 7309. https://doi.org/10.3390/app13127309

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