Potential on Energy Performance Upgrade of National Stadiums: A Case Study for the Pancretan Stadium, Crete, Greece
Abstract
:Featured Application
Abstract
1. Introduction
1.1. Existing Work on Energy Performance Upgrade of Stadiums
- indoor space heating, cooling and air conditioning,
- hot water for the changing rooms,
- lighting for both the outdoor and the indoor space,
- swimming pools heating,
- power consumed in large size pumps and circulators for the water supply and the hot water distribution networks, and in fans, for the air conditioning network.
1.2. Scope of the Article
1.3. Structure of the Article
2. The Pancretan Stadium Crete
2.1. Location, Essential Features
2.2. The Available R.E.S. Potential and the Prevailing Climate
- the thermal power production from the introduced solar collectors;
- the electrical power production from the introduced photovoltaic (PV) station;
- the indoor space heating and cooling loads.
- the thermal losses rate from the solar collectors and the photovoltaic station to the ambient;
- the indoor space heating and cooling loads.
2.3. Energy Consumption in the Stadium’s Current Operation
- electricity annual procurement cost: 241,389 €;
- diesel oil annual procurement cost: 13,200 €;
- both energy resources annual procurement cost: 254,589 €.
2.4. Summary of the Proposed Energy Upgrade Measures
- the reduction of the indoor space cooling and heating loads, through the passive systems introduction in the Stadium’s envelope.
- the replacement of the existing indoor space heating and cooling active systems with alternative, more efficient technologies.
- the installation of new, energy efficient lighting bulbs, centrally managed and controlled by a BEMS.
- the elimination of the currently consumed diesel oil through the installation of a solar-combi system, for the swimming pools heating and the production of hot water.
- the electricity production from R.E.S. technologies (photovoltaic station or/and small wind turbines) under net-metering operation mode (electricity production and consumption annual compensation).
- the optimization of the active energy systems management with the installation of a BEMS, aiming at the full automatic and central control of all the active systems for the indoor and outdoor space lighting, the indoor space heating and cooling, the hot water production and the swimming pools heating.
3. Passive Systems for the Stadium’s Envelope—Heating and Cooling Loads
3.1. Existing Condition
3.2. Proposed Measures
- the existence of suspended ceiling, constructed with insulating materials, in sports halls and offices;
- the existence of partial, even improper, insulation for the vertical walls;
- a high percentage of the vertical surfaces is covered with openings, restricting the contribution of the remaining vertical opaque surfaces to the indoor space heating and cooling loads;
- the floor of the ground level is 1.5 m below the earth surface, hence the largest part of the vertical opaque walls of this level is in contact with ground, instead of air, leading, thus, to heating or cooling loads further reduction;
- the high set-up cost of the thermal insulation and the expecting minor contribution to the heating and cooling loads reduction, which, in turn, affects negatively the economic feasibility of the specific intervention.
3.3. Heating and Cooling Loads Calculation
- the U-values of the envelope’s opaque and transparent surfaces are mentioned above for the existing envelope’s conditions;
- the U-values for the new windows, with the specifications presented in the previous section, were provided by a globally acknowledged, certified manufacturer with officially submitted quotations, between 1.3 and 1.9 W/m2K;
- the solar gain factors of the transparent surfaces are assumed equal to 0.62 and 0.39 for the existing and the new glazing, respectively [52];
- the thermal transition coefficients hi and ho, regarding heat transfer with convection and radiation from the Stadium’s envelope to indoor non-conditioned and outdoor space, respectively, were assumed equal to:
- the natural ventilation, expressed in Air Changes per Hour (ACH), which describes the air flow penetration through the openings’ frame, is calculated by the following relationship [52]:ACH = K1 + K2∙(Tzone − Tamb) + K3∙uw,
- the following indoor space thermal comfort conditions are adopted, as defined in the Greek Directive: temperature 22 °C–18 °C in winter and 26 °C–25 °C in summer for offices and changing rooms-sports halls respectively, relative humidity 50% [53];
- the ventilation requirements, the internal heat gains from occupants, devices, etc., are retrieved from the Greek Directive on Buildings’ Energy Performance [53];
- the daily usage schedule and the number of users for the existing facilities in the Stadium were provided by the Stadium’s Management.
3.3.1. Existing Envelope’s Condition
- The indoor space cooling is totally covered with an air-to-air central cooling device (Carrier 30 GX 267, 924 kW, Carrier, Farmington, CT, USA).
- As already stated in Section 2.3, according to the Stadium’s Management, the existing oil burners are exclusively employed for hot water production. Hence, no oil is consumed for indoor space heating. This means that the indoor space heating needs are only partially covered with autonomous split units (air-to-air heat pumps), installed mainly in offices. Based on the on-site inspection, the percentage of these heated indoor space covered area over the total conditioned space area was calculated at 14.7%.
- Based on the above approach, the electricity consumption calculation for the indoor space heating and cooling in the existing operation was executed by assuming that the cooling loads are 100% covered, while the heating loads are 14.7% covered annually.
- The electricity consumption annual time series was calculated on the basis of the existing heating and cooling loads coverage as described above, the ambient temperature (Figure 3b, Section 2.2) and the Coefficient of Performance (COP) and the Energy Efficiency Ratio (EER) typical fluctuation curves for air-to-air heat pumps versus the ambient temperature, presented in Figure 7. These curves are retrieved from real, commercial heat pumps models.
3.3.2. With the Proposed Passive Measures Realization
4. Active Systems
4.1. Active Systems for Indoor Space Conditioning
- the COP and EER fluctuation curves versus the seawater temperature of the employed GHP model, presented in Figure 10;
- the heating and cooling loads annual time series after the replacement of selected openings (Figure 11a);
- the seawater temperature annual time series, presented in Section 2.2 (Figure 4b).
4.2. Hot Water Production and Swimming Pools Heating
4.2.1. Existing Thermal Energy Demand
- on a daily basis, roughly 1400 users make use of the Stadium’s available sports facilities; around 500 of them are swimming pools users and 900 of them make use of the rest sports halls;
- it is estimated that each user of the swimming pools consumes V = 30 L of hot water per visit, while each user of the rest sports halls consumes V = 20 L per visit;
- it is additionally estimated that 50% of the sports halls users, namely 450 users per day, do not make use of the changing rooms, hence they do not contribute to the daily hot water consumption;
- the hot water temperature, density and specific heat capacity are adopted equal to Th = 45 °C [53], ρ = 990 kg/m3 and cp = 4180 J/kgK, respectively;
- following the above assumptions and facts, the hot water consumption daily profile was developed, presented in Figure 12a.
- A:
- the swimming pools upper surface area, from which heat is transferred to the ambient environment (in m2).
- U:
- the U-factor determining the heat transfer rate from the swimming pools free surface to the ambient environment (in W/m2K).
- Tw:
- the desirable water temperature in the swimming pools, adopted equal to 26 °C.
- Tin:
- the indoor space temperature (in °C).
- εw = 0.957 is the emissivity coefficient of water;
- σ is the Stefan-Boltzman constant, equal to 5.67 × 10−8 W/(m2⋅K4);
- Tw = 26 °C is the required water temperature in the swimming pools;
- Ta is the ambient temperature above the swimming pools, calculated within the indoor space heating and cooling loads’ calculation procedure.
4.2.2. Primary Energy Consumption in Existing Operation
4.2.3. Proposed Passive and Active Systems for Hot Water Production and Swimming Pools Heating
- d = 2 cm is the floating insulating cover thickness, given by certified manufacturer;
- k = 0.025 W/(m∙K) is the floating insulating cover conduction coefficient, given by the manufacturer; the material of the insulating cover is polyethylene;
- hfc = hrc + hc is the total heat transfer factor from the insulating cover to the ambient, equal to the sum of the convective heat transfer factor hc = 2.5 W/(m2∙K) for indoor space air flows above horizontal surfaces and the radiation heat transfer factor hrc of the insulating material; the latter is given by a relationship similar to Label (5), by replacing the emissivity of water with the emissivity of the insulating material εc = 0.55, as provided by a certified manufacturer.
- For the current calculation hourly time step i, the water temperature Ts (i−1) in each thermal storage tank from the previous time step i−1 is compared to the outlet temperature Tout of the corresponding solar collectors’ field. If Tout > Ts(i−1), then the thermal energy produced by the solar collectors can be stored in the thermal storage tank. In a different case, the provided thermal energy by the solar collectors’ field cannot be exploited and is rejected. Practically, there is no working medium’s flow in the solar collectors’ primary hydraulic loop.
- At the same time, any potential thermal power demand must be covered by thermal power stored in the thermal storage tank. In case of not enough stored thermal power, the thermal power demand shortage: is undertaken by the biomass heater.
- Taking into account the above thermal power flows from and to the thermal storage tank (, , ) and the heat losses from the tank to the ambient, the new water temperature in the tank, at the end of the current time step, is calculated.
- 1.1 for diesel oil, multiplied with the initial chemical energy contained in the consumed fuel;
- 2.9 for electricity produced from thermal power plants, multiplied with the corresponding electricity consumption.
4.3. Interventions on Lighting Equipment
- outdoor space, including the main and the auxiliary stadium and the surroundings of the main stadium (pedestrian areas, cars parking areas, etc.);
- the indoor space lighting, including the sports halls, the offices, the changing rooms, the stock rooms, the corridors, etc.
- indoor sports halls, swimming pools, changing rooms, corridors;
- offices;
- outdoor parking and surrounding areas;
- main Stadium, daily usage;
- main Stadium, events hosting;
- auxiliary Stadium, daily usage.
- the replacement of all the existing floodlights and lamps with new of LED technology, with the same luminosity with the existing lighting devices;
- the full, automatic operation and management of the lighting system by a new BEMS.
4.4. Electricity Production from Renewable Energy Sources
4.5. BEMS
- the measuring of all the electrical power consumptions in the Stadium;
- the control and the inspection of the active energy production systems operation.
- inspection and control of the hot water production and swimming pools heating systems, by gathering temperature signals from the solar collectors primary loop, the swimming pools and the thermal storage tanks, and by sending commands towards the involved circulators and motor-valves in the hydraulic networks;
- inspection and control of the GHP system for the indoor space conditioning, by gathering temperature signals from the indoor conditioned space and the source and load heat tanks, and by sending orders to the heat pumps, the circulators and the motor-valves in the hydraulic network and the air fans and the dampers in the air ducts network;
- the outdoor and indoor space lighting system, by gathering data regarding the occupants’ presence and the natural available light in the indoor space, the outdoor sports facilities operation schedule, the security lighting operation schedule, etc.
5. Summarizing Energy Saving Results
5.1. Reactive Electricity Saving
5.2. Total Energy Saving and Energy Performance Upgrade
- electricity new annual consumption: 1,052,186 kWh;
- electricity annual production from the PV station: 932,711 kWh;
- electricity new net annual production (compensated with the PV production): 119,475 kWh.
6. Economic Figures
- annual average electricity procurement price: 0.1277 €/kWh (see Section 2.3);
- annual average procurement price of biomass pellets in Crete: 300 €/tn.
7. Key Performance Indices
- -
- the annual electricity production of 932,711 kWh from the PV station, corresponding to 2,704,862 kWh of primary energy;
- -
- the annual thermal energy production from 31.197 tn of biomass pellets, corresponding to 180,691 kWh of primary energy;
- -
- the thermal energy production from the solar collectors.
- -
- The total final thermal energy consumption for the production of hot water was calculated 261,015 kWh (Section 4.2.1). The solar collectors’ contribution to this thermal energy production was calculated at 169,700 kWh (Table 4, Section 4.2.3).
- -
- The annual diesel oil consumption (16,500 L) implies annual thermal energy production equal to 128,550 kWh, corresponding to 186,059 kWh of primary energy (Table 4, Section 4.2.3).
- -
- The remaining thermal energy that will be produced by the solar collectors in the proposed operation is currently produced by the electrical resistances in the existing operation:169,700 kWh − 128,550 kWh = 41,150 kWh
- -
- The avoided primary energy consumption for hot water production in the existing operation is simply calculated as 186,059 kWh + 41,150 kWh × 2.9 = 305,394 kWh.
- -
- The total active electricity consumption, not compensated by the PV production, equal to 1,052,186 kWh (Section 5.2) and the reactive electricity consumption of 224,429 kWh (Section 5.1), corresponding totally to 3,702,183 kWh of primary energy.
- -
- The annual consumption of 31.197 tn of biomass pellets, corresponding to 180,691 kWh of primary energy (Table 4, Section 4.2.3).
- -
- 0.989 kg CO2/kWh of corresponding primary energy consumed, for electricity production,
- -
- 0.264 kg CO2/kWh of corresponding primary energy consumed, for diesel oil production.
8. Conclusions
- High energy saving percentages are achieved by each one of the proposed interventions. Specifically, the combined replacement of particularly selected openings in the Stadium’s envelope and the geothermal system installation lead to 48% electricity savings for the indoor space conditioning, compared to the existing operation. Moreover, a total savings of 83% is also achieved on the primary energy consumption for hot water production and swimming pools heating. The introduced interventions on lighting system will also offer 52% savings on the electricity consumed for the Stadium’s lighting needs. The reduction percentage on the reactive electricity annual consumption, due to active electricity savings, exceeds 42%.
- The Stadium’s energy performance is upgraded to rank A+ from rank D. With further production of 199,475 kWh of electricity, which can be achieved with the additional installation of roughly 85 kWp of PV panels, the Stadium will be upgraded to a zero-energy infrastructure.
- The electricity and diesel oil annual achieved savings impose a corresponding annual CO2 emission reduction above 85%, with regard to the current operation.
- Impressive evaluation indices are calculated, like the remarkably low payback period (12 years), the high R.E.S. annual penetration percentage (82%) and the high energy saving percentage (83%).
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Month | Final Thermal Energy (kWh) | Electricity Consumption (kWh) | Average Efficiency | |||
---|---|---|---|---|---|---|
Heating | Cooling | Heating | Cooling | COP | EER | |
January | 99,736 | 0 | 6946 | 0 | 2.01 | |
February | 92,735 | 0 | 6345 | 0 | 2.05 | |
March | 64,843 | 0 | 4250 | 0 | 2.14 | |
April | 16,827 | 0 | 1026 | 0 | 2.30 | |
May | 3350 | 19,194 | 191 | 8348 | 2.46 | 2.30 |
June | 0 | 82,464 | 0 | 37,749 | 2.18 | |
July | 0 | 124,415 | 0 | 58,722 | 2.12 | |
August | 0 | 124,495 | 0 | 57,250 | 2.17 | |
September | 0 | 66,566 | 0 | 28,387 | 2.34 | |
October | 3022 | 19,177 | 182 | 7749 | 2.32 | 2.47 |
November | 26,514 | 0 | 1664 | 0 | 2.23 | |
December | 74,513 | 0 | 4986 | 0 | 2.09 | |
Annual totals | 381,539 | 436,311 | 25,591 | 198,204 | 2.09 | 2.20 |
Heating & cooling total | 817,849 | 223,795 | ||||
Annual primary energy consumption (kWh) | 649,007 |
Month | Final Thermal Power Monthly Peaks (kW) | Final Thermal Energy (kWh) | ||
---|---|---|---|---|
Heating | Cooling | Heating | Cooling | |
January | 868 | 0 | 82,555 | 0 |
February | 804 | 0 | 79,151 | 0 |
March | 611 | 0 | 55,484 | 0 |
April | 231 | 0 | 14,307 | 0 |
May | 118 | 266 | 3039 | 16,953 |
June | 0 | 522 | 0 | 76,782 |
July | 0 | 680 | 0 | 116,308 |
August | 0 | 640 | 0 | 117,169 |
September | 0 | 487 | 0 | 64,369 |
October | 90 | 207 | 1875 | 19,751 |
November | 281 | 0 | 20,651 | 0 |
December | 646 | 0 | 61,313 | 0 |
Annual totals/max | 868 | 680 | 318,376 | 411,332 |
Annual final thermal energy required for indoor space conditioning (kWh): | 729,708 |
Month | Final Thermal Energy (kWh) | Electricity Consumption (kWh) | GHP Average Efficiencies | |||
---|---|---|---|---|---|---|
Heating | Cooling | Heating | Cooling | COP | EER | |
January | 82,556 | 0 | 14,360 | 0 | 5.75 | |
February | 79,151 | 0 | 13,978 | 0 | 5.66 | |
March | 55,484 | 0 | 9822 | 0 | 5.65 | |
April | 14,307 | 0 | 2511 | 0 | 5.70 | |
May | 3039 | 16,953 | 533 | 2422 | 5.71 | 7.00 |
June | 0 | 76,782 | 0 | 10,999 | 6.98 | |
July | 0 | 116,308 | 0 | 17,437 | 6.67 | |
August | 0 | 117,169 | 0 | 17,854 | 6.56 | |
September | 0 | 64,369 | 0 | 9719 | 6.62 | |
October | 1875 | 19,751 | 303 | 3211 | 6.18 | 6.15 |
November | 20,651 | 0 | 3329 | 0 | 6.20 | |
December | 61,313 | 0 | 10,265 | 0 | 5.97 | |
Annual totals | 318,376 | 411,332 | 55,101 | 61,642 | 5.78 | 6.67 |
Heating & cooling total | 729,708 | 116,743 | ||||
Annual primary energy consumption (kWh) | 338,554 |
Energy Source | Existing Operation | Proposed Operation | PES | |||||||
---|---|---|---|---|---|---|---|---|---|---|
HWP | SPH | Total | PE (kWh) | HWP | SPH | Total | PE (kWh) | kWh | (%) | |
Thermal energy (kWh) | 261,015 | 112,216 | 373,231 | - | 261,015 | 54,620 | 315,635 | - | 57,596 | 15 |
Oil (L) | 16,500 | 0 | 16,500 | 186,059 | 0 | 0 | 0 | 0 | 186,059 | 100 |
Electricity (kWh) | 139,436 | 52,198 | 191,634 | 555,739 | 0 | 0 | 0 | 0 | 555,739 | 100 |
Biomass (tn) | 0 | 0 | 0 | 0 | 20.609 | 10.588 | 31.197 | 180,691 | −180,691 | - |
Solar collectors (kWh) | 0 | 0 | 0 | 0 | 169,700 | 0 | 169,700 | 0 | - | - |
741,798 | 180,691 | 618,703 | 83 |
Lighting Area | Annual Electricity Consumption (kWh) | Annual Primary Energy Consumption (kWh) | Energy Saving (%) | ||||
---|---|---|---|---|---|---|---|
Existing State | Proposed State | Existing State | Proposed State | Electricity (kWh) | Primary Energy (kWh) | Percentage (%) | |
Indoor spaces | 433,232 | 164,958 | 1,256,374 | 478,379 | 268,274 | 777,995 | 61.92 |
Outdoor surrounding spaces | 123,494 | 75,027 | 358,134 | 217,577 | 48,468 | 140,557 | 39.25 |
Main stadium-daily usage | 65,494 | 38,770 | 189,932 | 112,434 | 26,723 | 77,498 | 40.80 |
Main stadium-sports events | 35,343 | 30,459 | 102,495 | 88,330 | 4884 | 14,164 | 13.82 |
Auxiliary stadium | 24,470 | 16,190 | 70,964 | 46,950 | 8280 | 24,013 | 33.84 |
Total | 682,034 | 325,404 | 1,977,898 | 943,671 | 356,630 | 1,034,228 | 52.29 |
Intervention | Annual Electricity Saving (kWh) |
---|---|
Lighting | 356,630 |
Hot water production | 139,436 |
Swimming pools heating | 52,198 |
Passive and active measures for indoor spaces conditioning | 107,052 |
Building energy management system (BEMS) | 181,696 |
Total annual energy saving: | 837,012 |
Existing annual electricity consumption (kWh) | 1,889,198 |
New annual electricity consumption (kWh) | 1,052,186 |
Energy Source | Existing State | Primary Energy |
---|---|---|
Active electricity annual consumption (kWh) | 1,889,198 | 5,478,674 |
Reactive electricity annual consumption (kWh) | 388,407 | 1,126,380 |
Diesel oil (L) | 16,500 | 186,059 |
Primary energy annual consumption (kWh) | 6,791,114 | |
Primary energy specific annual consumption (kWh/m2) | 429.54 |
Intervention | Energy Source Production–Saving–Consumption | Primary Energy Production–Saving–Consumption (kWh) |
---|---|---|
Photovoltaic station | 932,711 kWh electricity production | 2,704,862 |
Lighting system | 356,630 kWh electricity saving | 1,034,228 |
Hot water production | 16,500 lt diesel oil saving | 186,059 |
139,436 kWh electricity saving | 404,366 | |
20,609 kg biomass consumption | −119,365 | |
Swimming pools heating | 52,198 kWh electricity saving | 151,373 |
10,588 kg biomass consumption | −61,326 | |
Passive and active measures for air conditioning | 107,052 kWh electricity saving | 310,452 |
BEMS | 181,696 kWh electricity saving | 526,917 |
Reduction of reactive consumptions | 163,978 kWh electricity saving | 475,536 |
Primary energy total annual saving: | 5,613,102 | |
Primary energy remaining annual consumption: | 1,178,012 |
No | Cost Component | Subtotal (€) |
---|---|---|
1 | Photovoltaic station | 750,000 |
2 | Lighting system upgrade | 400,000 |
3 | BEMS | 150,000 |
4 | Biomass heater | 45,000 |
5 | Solar collectors and thermal tanks | 200,000 |
6 | Geothermal system | 600,000 |
7 | Openings replacement | 120,000 |
Subtotal | 2,265,000 | |
8 | Contractor’s fee 18% | 407,700 |
Total | 2,672,700 |
Energy Resource | Existing Operation State | Proposed Operation State | Annual Monetary Saving (€) | ||
---|---|---|---|---|---|
Quantity | Cost (€) | Quantity | Cost (€) | ||
Electricity (kWh) | 1,889,198 | 241,389 | 119,475 | 15,257 | 226,132 |
Diesel oil (L) | 16,500 | 13,200 | 0 | 0 | 13,200 |
Biomass (tn) | 0 | 0 | 31.197 | 9359 | −9359 |
Totals: | 254,589 | 88,396 | 229,973 |
Production Technology | Primary Energy Production (kWh) |
---|---|
Photovoltaic station | 2,704,862 |
Biomass | 180,691 |
Solar collectors | 305,394 |
Total production | 3,190,947 |
Annual primary energy consumption | 3,882,875 |
R.E.S. annual penetration percentage (%): | 82.18 |
Energy Source | Existing Operation | New Operation | CO2 Saving | |||
---|---|---|---|---|---|---|
Primary Energy Consumption (kWh) | CO2 Emissions (tn) | Primary Energy Consumption (kWh) | CO2 Emissions (tn) | (tn) | (%) | |
Active electricity consumption | 5,478,674 | 5418 | 346,478 | 343 | 5076 | 93.68 |
Reactive electricity consumption | 1,126,380 | 1114 | 650,844 | 644 | 470 | 42.22 |
Total electricity consumption | 6,605,055 | 6532 | 997,322 | 986 | 5546 | 84.90 |
Oil diesel consumption | 186,059 | 184 | 0 | 184 | 184 | 100.00 |
Totals | 6,791,114 | 6716 | 997,322 | 986 | 5730 | 85.31 |
© 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
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Katsaprakakis, D.A.; Dakanali, I.; Zidianakis, G.; Yiannakoudakis, Y.; Psarras, N.; Kanouras, S. Potential on Energy Performance Upgrade of National Stadiums: A Case Study for the Pancretan Stadium, Crete, Greece. Appl. Sci. 2019, 9, 1544. https://doi.org/10.3390/app9081544
Katsaprakakis DA, Dakanali I, Zidianakis G, Yiannakoudakis Y, Psarras N, Kanouras S. Potential on Energy Performance Upgrade of National Stadiums: A Case Study for the Pancretan Stadium, Crete, Greece. Applied Sciences. 2019; 9(8):1544. https://doi.org/10.3390/app9081544
Chicago/Turabian StyleKatsaprakakis, Dimitris Al., Irini Dakanali, George Zidianakis, Yiannis Yiannakoudakis, Nikolaos Psarras, and Spyros Kanouras. 2019. "Potential on Energy Performance Upgrade of National Stadiums: A Case Study for the Pancretan Stadium, Crete, Greece" Applied Sciences 9, no. 8: 1544. https://doi.org/10.3390/app9081544
APA StyleKatsaprakakis, D. A., Dakanali, I., Zidianakis, G., Yiannakoudakis, Y., Psarras, N., & Kanouras, S. (2019). Potential on Energy Performance Upgrade of National Stadiums: A Case Study for the Pancretan Stadium, Crete, Greece. Applied Sciences, 9(8), 1544. https://doi.org/10.3390/app9081544