Comparison of the Energy Efficiency of Fixed and Tracking Home Photovoltaic Systems in Northern Poland
Abstract
:1. Introduction
- First of all, there was a change in the status of new owners of photovoltaic installations in Poland. They stopped being prosumers with a quantitative settlement and were treated as energy producers with a financial settlement. This solution is less favorable for investors.
- Secondly, over the last five years, according to data from PSE (Polish Energy Networks), there has been a fivefold increase in the power installed in PV installations. The microgeneration market has been saturated with simple PV installations. New but much more expensive solutions have appeared (Smart Home Systems, PV tracking systems), and difference in investment costs for their use is not economically justified, which is partially shown in our article in relation to PV tracking systems.
- Thirdly, there has been a significant increase in the technical and economic awareness of potential investors. This translates into greater caution when investing in PV technology that is not supported by reliable technical information about the technology used.
2. Specifications of the Tested Installations
- Roof installed, off grid—year of construction 2014;
- Roof installed, on grid—year of construction 2020;
- Dual-axis tracking system, on grid—year of construction 2020.
Installation I3 kWp (2014) | Installation II5.2 kWp (2020) | Installation III4.8 kWp (2020) | ||
---|---|---|---|---|
Module type | (-) | MS250P-60 | SV120M.3.2-370 | SV120M.3.2-370 |
Max. power | Pmax (W) | 250 | 370 | 370 |
Open-circuit voltage | Uoc (V) | 37 | 40.9 | 40.9 |
Max. power voltage | Umpp (V) | 26 | 34.3 | 34.3 |
Short-circuit current | Isc (A) | 9.12 | 11.49 | 11.49 |
Max. power current | Imppt (A) | 8.71 | 10.79 | 10.79 |
Efficiency | (%) | 17.1 | 20.3 | 20.3 |
Insolation [14] | (kWh/m2) | 1070 | 985 | 985 |
Temperature coefficient of Pmax | %/°C | −0.407 | −0.36 | −0.36 |
Installation I (2014) | Installation II (2020) | Installation III (2020) | ||
---|---|---|---|---|
Module type of inverter | (-) | Omega S1 | FroniusSymo5.0-3-M | FroniusSymo5.0-3-M |
Max. input current | (A) | 7/15/24 | 16 | 16 |
Min. input current | Umin (V) | 25 | 150 | 150 |
Nominal input voltage | Unom (V) | 52 | 595 | 595 |
Max. input voltage | Umax (V) | 90 | 1000 | 1000 |
MPPT voltage range | (V) | 40–90 | 163–800 | 163–800 |
Max. output current | (A) | 7/15/24 | 13.5 | 13.5 |
Range of adjustable output voltage | (V) | 40–90 | 260–485 | 260–485 |
Frequency | (Hz) | - | 50 | 50 |
Internal night power consumption | (W) | <1 | <1 | <1 |
3. Energy Yields of the Considered PV Installations
- Efficiency was understood as an energy source operating in a specific geographic and time period;
- Cost effectiveness was understood as an investment with a specific depreciation;
- Operation was understood as a technical object subject to wear and tear over time.
4. Cost Efficiency of the Considered PV Installations
- The total (taking into account all elements) average price for electricity in the years 2014–2020 was—USD 0.15/kWh. Due to the abrupt increase in energy prices in 2023, a 5% linear annual increase in energy prices was assumed.
- Decrease in electricity production efficiency resulting from operational processes: 1.1%/year.
- Investment cost in year zero of individual photovoltaic installations: No. 1: USD 3578.5; No. 2: USD 6419.5; and No. 3: USD 13,456.6.
- The estimated, averaged annual electricity production of each tested photovoltaic installation, determined on the basis of measurements, is as follows: No. 1—1850 kWh; No. 2—3500 kWh; and No. 3—5200 kWh.
- Billing system for calculating profit for Installation II: 100% of the energy yield was used in the off-grid system. Installations II and III: an 80% on-grid prosumer system (80% user, 20% energy supplier for storage).
- The number of annual calculation periods is n = 25.
- The assumed rate of return based on the interest rate on long-term treasury bonds—CAGR (cumulative annual growth rate) [17,18]. For Installation I is used data for the first 8 years real exploatation, and for the other installations used forecast data with an r average (r average 5%). Note: If energy prices in a given country increase by more than the assumed 5%, the investment amortization time will shorten proportionally.
- The last column of Table 10 presents a simulation of the desired cost of the top-up installation, which will pay off at the same time as installations No. 1 and No. 2.
- Installation I financial flow: 10 years; discounted cash flow NPV: 13 years;
- Installation II financial flow: 10 years; discounted cash flow NPV: 13 years;
- Installation III financial flow: 13 years; discounted cash flow NPV: 19 years;
- Installation III financial flow: simulation of the desired cost of the tracking PV installation; discounted cash flow NPV: 13 years.
5. Discussion
5.1. Article 2: Energy Efficiency Analysis of 1 MW PV Farm Mounted on Fixed and Tracking Systems
5.2. Article 3: Environmental Life Cycle Analysis of a Fixed PV Energy System and a Two-Axis Sun Tracking PV Energy System in a Low-Energy House in Turkey
5.3. Article 4: Performance Comparison of a Double-Axis Sun Tracking Versus Fixed PV System
5.4. Article 5: Design and Simulation of a Solar Tracking System for PV
5.5. Article 6: Impact of PV System Tracking on Energy Production and Climate Change
5.6. Article 7: Innovative Sensorless Dual-Axis Solar Tracking System Using Particle Filter
5.7. Article 8: Comparison of Energy Production between Fixed-Mount and Tracking Systems of Solar PV Systems in Jakarta, Indonesia
5.8. Article 9: Comparative Performance Analysis between Static Solar Panels and Single-Axis Tracking System on a Hot Climate Region near to the Equator
5.9. Article 10: Performance Comparison between Fixed and Dual-Axis Sun-Tracking Photovoltaic Panels with an IoT Monitoring System in the Coastal Region of Ecuador
5.10. Article 11: Improvements of Photovoltaic Systems Using Solar Tracking in Equatorial Regions
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Installation I (2014) (Module Power 250W) | Installation II (2020) (Module Power 370W) | Installation III (2020) (Module Power 370W) | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Name | IU | Quantity | Price per Item (USD) | Price (USD) | Quantity | Price per Item (USD) | Price (USD) | Quantity | Price per Item (USD) | Price (USD) |
Photovoltaic module | pcs. | 12 | 135.4 | 1625.3 | 14 | 149.2 | 2088.9 | 13 | 149.2 | 1939.7 |
Inverter | pcs. | 1 | 270.9 | 270.9 | 1 | 1079 | 1079 | 1 | 1079 | 1079 |
Cables, supporting structure, and other elements | set | 1 | 1489.8 | 1489.8 | 1 | 1607.2 | 1607.2 | 1 | 819.2 | 819.2 |
Dual-axis tracking system with motors | set | - | - | - | - | - | - | 1 | 6366.8 | 6366.8 |
No. | Year of Energy Production | Energy Produced (kWh) | Total Energy Produced (kWh) |
---|---|---|---|
1 | 2014 | 6.2 | 6.2 |
2 | 2015 | 2201 | 2207 |
3 | 2016 | 1798 | 4005 |
4 | 2017 | 2016 | 6021 |
5 | 2018 | 1849 | 7870 |
6 | 2019 | 1646 | 9516 |
7 | 2020 | 1832 | 11,348 |
8 | 2021 | 1728 | 13,076 |
9 | 2022 | 1569 | 14,645 |
Month | Installation I (2014)(kWh) | Installation II (2020)(kWh) | Installation III (2020)(kWh) |
---|---|---|---|
July | 610.3 | 705.8 | 914.0 |
August | 476.1 | 665.7 | 947.0 |
September | 381.7 | 493.9 | 695.2 |
October | 204.9 | 278.4 | 363.4 |
November | 87.5 | 116.9 | 188.7 |
December | 43.0 | 45.2 | 110.3 |
Total | 1803.5 | 2305.9 | 3218.6 |
Month | Installation I (2014) (kWh) | Installation II (2020) (kWh) | Installation III (2020) (kWh) |
---|---|---|---|
January | 38.2 | 36.8 | 43.2 |
February | 98.1 | 98.2 | 256.4 |
March | 299.0 | 385.4 | 558.5 |
April | 473.5 | 520.6 | 599.7 |
May | 527.2 | 645.7 | 832.0 |
June | 736.4 | 820.5 | 1199.7 |
July | 582.4 | 643.4 | 826.3 |
August | 469.1 | 517.1 | 799.6 |
September | 381.7 | 434.8 | 591.8 |
October | 255.8 | 357 | 491.4 |
November | 95.5 | 108.4 | 180.9 |
December | 18.0 | 20.9 | 72.3 |
Total | 3974.9 | 4588.8 | 6451.8 |
Month | Installation I (2014) (kWh) | Installation II (2020) (kWh) | Installation III (2020) (kWh) |
---|---|---|---|
January | 42.8 | 23.9 | 86.6 |
February | 148.0 | 88.4 | 474.3 |
March | 464.3 | 412.6 | 501.5 |
April | 472.1 | 448.9 | 581.8 |
May | 471.7 | 554.9 | 878.3 |
June | 497.7 | 813.1 | 1227.7 |
July | 473.8 | 545.5 | 819.1 |
August | 514.0 | 586.6 | 703.3 |
September | 276.5 | 351.2 | 607.3 |
October | 192.7 | 298.9 | 434.6 |
November | 47.0 | 92.9 | 152.1 |
December | 8.7 | 15.5 | 64.8 |
Total | 3609.3 | 4232.4 | 6531.4 |
Period of Operation | Comparison of Installations | ||
---|---|---|---|
Installation I/II (%) | Installation III/II (%) | Installation III/I (%) | |
1 July–31 December 2020 | −21.8 | 39.6 | 78.5 |
1 January–30 June 2021 | −15.4 | 39.2 | 60.6 |
1 July–31 December 2021 | −15.5 | 42.3 | 64.3 |
2021 | −15.4 | 40.6 | 62.3 |
1 January–30 June 2022 | −11.7 | 60.1 | 78.9 |
1 July–31 December 2022 | −25 | 47.1 | 83.9 |
2022 | −17.3 | 54.3 | 81 |
Strengths: | SWOT Installation I | Weaknesses: |
Simple uncomplicated installation. Simple operational supervision. Consistent comparable (despite the time of) operation energy. Off-grid installation heating with a heat exchanger and cooperation with the UPS. | Potential for internal failures resulting from aging structural and electronic components subjected to environmental conditions. | |
Opportunities: | Threats: | |
Good weather gives higher energy yields. Operation during power outages. | Bad weather, rapid wear and tear of installations due to environmental impacts, and technological advances. | |
Strengths: | SWOT Installation II | Weaknesses: |
Simple uncomplicated installation. Simple operational supervision. Consistent comparable (despite the time of) operation energy. On-grid installation and cooperation with the power grid. | Potential for internal failures resulting from aging structural and electronic components subjected to environmental conditions. No operation in the event of a power outage to the power grid. | |
Opportunities: | Threats: | |
Good weather gives higher energy yields. | Bad weather, rapid wear and tear of installations due to environmental impacts, and technological advances. | |
Strengths: | SWOT Installation III | Weaknesses: |
Gain some electricity independence. On-grid installation and cooperation with the power grid. | Complicated installation requiring technical supervision. Potential for internal failures resulting from aging structural and electronic components subjected to environmental conditions. No operation in the event of a power outage to the power grid. | |
Opportunities: | Threats: | |
Good weather gives higher energy yields. Excellent energy matching. | Bad weather, rapid wear and tear of the installation resulting from environmental impacts, and technological advances. |
Year (Years) | Current and Estimated Price per 1 kWh (USD) | Installation I (2014) | Installation II (2020) | Installation III (2020) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Current and Estimated Energy Production (kWh) | Financial Gain (USD) | Financial Flow (USD) | Discounted Cash Flow NPV (USD) | Current and Estimated Energy Production (kWh) | Financial Gain (USD) | Financial Flow (USD) | Discounted Cash Flow NPV (USD) | Current and Estimated Energy Production (kWh) | Financial Gain (USD) | Financial Flow (USD) | Discounted Cash Flow NPV (USD) | Desired Installation Cost (USD) | ||
0 | Investment cost > | −3578.4 | −3578.4 | Investment cost > | −6419.5 | −6419.5 | Investment cost > | −13,456.6 | −13,456.6 | −9456.6 | ||||
1 | 0.152 | 2201 | 335.2 | −3243.2 | −3265.2 | 3670 | 558.9 | −5860.7 | −5887.3 | 5162 | 786.1 | −12,670.4 | −12,708 | −8709.3 |
2 | 0.159 | 1798 | 286.1 | −2957.3 | −3010.7 | 3386 | 538.6 | −5322 | −5398.6 | 5229 | 831.8 | −11,838.6 | −11,953.4 | −7955.2 |
3 | 0.167 | 2016 | 336.8 | −2620.4 | −2721.4 | 3489 | 583 | −4739.1 | −4895.2 | 5138 | 858.2 | −10,980.4 | −11,212 | −7214.0 |
4 | 0.175 | 1849 | 324.1 | −2296.4 | −2456.8 | 3451 | 604.8 | −4134.5 | −4397.7 | 5081 | 890.4 | −10,090 | −10,479.5 | −6482.5 |
5 | 0.182 | 1646 | 299.3 | −1997.3 | −2223.4 | 3413 | 620.4 | −3513.9 | −3911.6 | 5025 | 913.6 | −9176.4 | −9763.6 | −5765.9 |
6 | 0.191 | 1832 | 349.8 | −1647.5 | −1962.5 | 3375 | 644.3 | −2869.5 | −3430.7 | 1129.5 | 948.9 | −8227.5 | −9055.4 | −5057.8 |
7 | 0.200 | 1728 | 346.4 | −1301.1 | −1719.5 | 3338 | 669.1 | −2200.4 | −2955.2 | 4915 | 985.2 | −7242 | −8355.2 | −4359.2 |
8 | 0.210 | 1569 | 330.2 | −970.9 | −1478.2 | 3301 | 694.8 | −1505.7 | −2485 | 4861 | 1023.2 | −6219.1 | −7662.7 | −3668.3 |
9 | 0.221 | 1809 | 399.5 | −571.1 | −1220.7 | 3265 | 721.4 | −784.3 | −2020 | 4808 | 1062 | −5156.8 | −6978.2 | −2983.4 |
10 | 0.232 | 1789 | 414.8 | −156.6 | −966.1 | 3229 | 748.6 | −35.7 | −1560.4 | 4755 | 1102.3 | −4054.5 | −6301.4 | −2306.1 |
11 | 0.243 | 1769 | 430.2 | 273.6 | −714.5 | 3194 | 776.6 | 740.9 | −1106.4 | 4703 | 1143.6 | −2910.9 | −5632.7 | −1637.9 |
12 | 0.254 | 1750 | 445.4 | 719.1 | −466.6 | 3159 | 804.1 | 1545 | −658.6 | 4651 | 1183.9 | −1727 | −4973.6 | −980.1 |
13 | 0.267 | 1730 | 462.3 | 1181.6 | −221.4 | 3124 | 835 | 2379.8 | −215.9 | 4600 | 1229.3 | −497.7 | −4321.6 | −328.8 |
14 | 0.280 | 1711 | 479.8 | 1661.4 | 21.1 | 3089 | 866.4 | 3246.4 | 221.8 | 4549 | 1275.9 | 778.2 | −3677.3 | 314.5 |
15 | 0.294 | 1693 | 498.2 | 2159.8 | 260.7 | 3055 | 899.3 | 4145.7 | 654.3 | 4499 | 1324.1 | 2102.5 | −3040.2 | 950.8 |
16 | 0.309 | 1674 | 517 | 2676.6 | 497.7 | 3022 | 933.4 | 5078.9 | 1082 | 4450 | 1374.3 | 3476.8 | −2410.7 | 1580.7 |
17 | 0.324 | 1656 | 536.6 | 3213.4 | 731.8 | 2989 | 968.6 | 6047.5 | 1504.5 | 4401 | 1426.4 | 4902.9 | −1788.4 | 2202.8 |
18 | 0.340 | 1637 | 557 | 3770.4 | 963.2 | 2956 | 1005.7 | 7053.2 | 1922.5 | 4352 | 1480.9 | 6383.9 | −1173 | 2817.7 |
19 | 0.357 | 1619 | 558 | 4348.4 | 1192 | 2923 | 1043.6 | 8096.8 | 2335.4 | 4304 | 1536.8 | 7920.7 | −564.8 | 3425.7 |
20 | 0.375 | 1601 | 600 | 4948.4 | 1418.2 | 2891 | 1083.4 | 9180.4 | 2743.9 | 4257 | 1595.4 | 9516.1 | 36.6 | 4027.4 |
21 | 0.393 | 1585 | 623.6 | 5572 | 1641.8 | 2859 | 1124.8 | 10,305.2 | 3147.5 | 4210 | 1656.4 | 11,172.5 | 631.1 | 4621.3 |
22 | 0.413 | 1567 | 647 | 6219.1 | 1863.2 | 2828 | 1167.7 | 11,473 | 3546.8 | 4164 | 1719.5 | 12,892 | 1218.9 | 5209.2 |
23 | 0.433 | 1549 | 671.4 | 6890.4 | 2081.6 | 2797 | 1212 | 12,685.2 | 3941.4 | 4118 | 1784.8 | 14,677 | 1800 | 5789.7 |
24 | 0.454 | 1532 | 696.4 | 7586.8 | 2297.7 | 2766 | 1257.3 | 13,942.5 | 4331.4 | 4073 | 1851.4 | 16,528.2 | 2374 | 6363.0 |
25 | 0.477 | 1516 | 723.6 | 8310.2 | 2511.4 | 2736 | 1305.7 | 15,248 | 4716.8 | 4028 | 1922.5 | 18,450.7 | 2941.8 | 6930.4 |
No | Title of the Article | Energy (MWh) | Difference (%), Localization | |
---|---|---|---|---|
Fixed | Tracker | |||
1. | This article: Comparison of the Energy Efficiency of Fixed and Tracking Home Photovoltaic Systems in Northern Poland | 4.45 | 6.48 | 2.5 years of measurement for Installations I and II and >8 years for Installation I: from 39.2 to 60.1 (average 46) Poland: Installation I 54.6° N, Installations II and III 53.8° N |
2. | Energy efficiency analysis of 1 MW PV farm mounted on fixed and tracking systems [22] | 1080 | 1293 | 16.5 Kuyavian-Pomeranian Voivodeship, Poland, latitude 53° N |
3. | Environmental life cycle analysis of a fixed PV energy system and a two-axis sun tracking PV Energy system in a low-energy house in Turkey [23] | 1.34 | 2.13 | Only July (max): 35.1, July–December: 31 Sakarya, Turkiye, latitude 41° N |
4. | Performance comparison of a double-axis sun tracking versus fixed PV system [24] | 11.53 | 15.98 | 30.8, Muğla, Turkiye, latitude 37° N |
5. | Design and Simulation of a Solar Tracking System for PV [25] | - | - | From 22 to 56 Northern Algeria, latitude 36° N |
6. | Impact of PV System Tracking on Energy Production and Climate Change [26] | 1710 | 2171 2234 | 21.2 fixed vs. one axis 23.5 fixed vs. dual axis 2.8 one axis vs. dual axis Townsville, Australia, latitude 19° S |
7. | Innovative sensorless dual-axis solar tracking system using particle filter [27] | 0.017 | 0.02 | 60 days: average 20.1, max. 38.5 Bangkok, Thailand, latitude 12.8° N |
8. | Comparison of Energy Production Between Fixed-Mount and Tracking Systems of Solar PV Systems in Jakarta, Indonesia [28] | 1.38 | 1.67 | 15–29, average 21, Jakarta, Indonesia, latitude 6° S |
9. | Comparative performance analysis between static solar panels and single-axis tracking system on a hot climate region near to the equator [29] | 0.00117 | 0.00131 | 13–20 July 2014: 11.5, one-axis PV Mossoro, Brazil, latitude 5.2° S |
10. | Performance Comparison between Fixed and Dual-Axis Sun-Tracking Photovoltaic Panels with an IoT Monitoring System in the Coastal Region of Ecuador [24] | 0.04 | 0.047 | 21 days: 19.6, Manabí, Ecuador, latitude 1° S |
11. | Improvements of photovoltaic systems by using solar tracking in equatorial regions [30] | 1.9 | 2.5 | 27.3 fixed vs. one axis 31 fixed vs. dual axis max. 6.5 average for one axis vs. dual axis Quito, Ecuador, latitude 0.2° S |
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Listewnik, K.J.; Nowak, T. Comparison of the Energy Efficiency of Fixed and Tracking Home Photovoltaic Systems in Northern Poland. Energies 2024, 17, 4410. https://doi.org/10.3390/en17174410
Listewnik KJ, Nowak T. Comparison of the Energy Efficiency of Fixed and Tracking Home Photovoltaic Systems in Northern Poland. Energies. 2024; 17(17):4410. https://doi.org/10.3390/en17174410
Chicago/Turabian StyleListewnik, Karol Jakub, and Tomasz Nowak. 2024. "Comparison of the Energy Efficiency of Fixed and Tracking Home Photovoltaic Systems in Northern Poland" Energies 17, no. 17: 4410. https://doi.org/10.3390/en17174410
APA StyleListewnik, K. J., & Nowak, T. (2024). Comparison of the Energy Efficiency of Fixed and Tracking Home Photovoltaic Systems in Northern Poland. Energies, 17(17), 4410. https://doi.org/10.3390/en17174410