Wind Power Electricity: The Bigger the Turbine, The Greener the Electricity?
Abstract

Wind energy is a fast-growing and promising renewable energy source. The investment costs of wind turbines have decreased over the years, making wind energy economically competitive to conventionally produced electricity. Size scaling in the form of a power law, experience curves and progress rates are used to estimate the cost development of ever-larger turbines. In life cycle assessment, scaling and progress rates are seldom applied to estimate the environmental impacts of wind energy. This study quantifies whether the trend toward larger turbines affects the environmental profile of the generated electricity. Previously published life cycle inventories were combined with an engineering-based scaling approach as well as European wind power statistics. The results showed that the larger the turbine is, the greener the electricity becomes. This effect was caused by pure size effects of the turbine (micro level) as well as learning and experience with the technology over time (macro level). The environmental progress rate was 86%, indicating that for every cumulative production doubling, the global warming potential per kWh was reduced by 14%. The parameters, hub height and rotor diameter were identified as Environmental Key Performance Indicators that can be used to estimate the environmental impacts for a generic turbine.
Introduction
(1)where C2 is the investment cost of unknown equipment; C1 is the investment cost of known equipment; X2 is the capacity of unknown equipment; X1 is the capacity of known equipment and b is the scaling factor. Commonly cost scaling factors between 0.5 and 1 are applied, however a scaling factor of 0.6 is recommended if no data is available, meaning that a 1% size increase, results in a 0.6% cost increase.(5, 6) Scaling factors between 0.5 and 1 have also been found for the environmental impacts from the production phase of energy conversion equipment.(7)
(2)where Ccum is the cost per unit; C0 the cost of the first produced unit; Cum the cumulative production; z is the experience index.(17) The progress rate (PR) describes the rate at which the costs reduce with every doubling of the production,
(3)Materials and Methods
Engineering-Based Size Model for Wind Electricity Production
Figure 1

Figure 1. Wind turbine and its components.
| parameter | unit | description | equation | equation number | sources |
|---|---|---|---|---|---|
| a | m2 | swept area | ![]() | (4) | |
| v2 | m/s | average wind speed at hub height | ![]() | (5) | 22 |
| P | W | kinetic power at hub height | ![]() | (6) | 21 |
| Pcaptured,max | W | Betz′ law | ![]() | (7) | 26 |
| Pelectric | W | electric power | ![]() | (8) | |
| Pcal | Wh/a | produced electricity per year (calculated) | ![]() | (9) |
ρair = 1.2 kg/m3, v1: wind speed at ground; ηgenerator=94%, ηlosses = 95%.
| parameter | proportional to |
|---|---|
| power, p | ∝ d2h3/7 |
| Mrotor | ∝ D3 |
| Mnacelle | ∝ D3 |
| Mtower | ∝ D2h |
| Mfoundation | ∝ D3 |
| Melectronics&cables | ∝ h |
| EI production | ∝Mcomponents |
| EI use | ∝ D2h3/7 |
| EI disposal | ∝Mcomponents |
D: rotor diameter (m); h: hub height (m); M: mass (kg); V: volume (m3); EI: environmental impact.
Empirical Modeling of Wind Energy Production
Data Collection
LCI Harmonization
| source | rated power*, P [kW] | tower height, h [m] | rotor diameter, D [m] | construction year of turbine | calculated captured power at rotorc, Pcaptured, max [kW] | calculated energy generation, Pcal [MWh/a] |
|---|---|---|---|---|---|---|
| 30 | 660 | 55 | 55 | 2001b | 219 | 1715 |
| 29 | 500 | 41.5 | 39 | 1996b | 98 | 764 |
| 37 | 850 | 60 | 52 | n/a | 203 | 1591 |
| 37 | 3000 | 80 | 90 | 2003b | 689 | 5392 |
| 31 | 2000 | 67 | 78 | n/a | 480 | 3754 |
| 33 | 1650 | 80 | 80 | 2005 | 545 | 4261 |
| 34 | 30 | 22 | 12.5 | 1990 | 8 | 60 |
| 34 | 150 | 30 | 23.8 | 1994 | 32 | 248 |
| 34 | 600 | 40 | 43 | 1996 | 117 | 915 |
| 34 | 800 | 50 | 50 | 2001 | 174 | 1361 |
| 32 | 600 | 35 | 44 | 1998 | 116 | 904 |
| 38 | 1500 | 67 | 66 | 2000 | 344 | 2688 |
Reported by the producers,.
Year not mentioned in the original study.
Power output calculated for standard site with wind speed of 5 m/s at 10 m height and a wind shear gradient of 1/7.
| • | All metal and plastic production processes were complemented with the corresponding metal and plastic processing steps. For instance, the production process “aluminum, production mix” was complemented with “sheet rolling, aluminum” using the same material amount. | ||||
| • | Transport distances of the raw materials to the production plant were modeled as 100 km lorry (>32 tonnes and according to the European emission standard EURO 4) and 200 km freight train. Distances from the production plant to the erection site were modeled as 100 km lorry (>32t, EURO 4) and 800 km freight train. An exception was made for the foundation. It was assumed that the materials were provided by a local producer; hence 50 km lorry (>32t, EURO 4) for concrete, 100 km lorry (>32t, EURO 4) for plastics, steel and iron as well as 200 km freight train for plastics, steel and iron was assumed. | ||||
| • | Many publications did not specify whether the material was virgin or recycled material, also iron and steel were occasionally not further specified; hence material assumptions were made based on the inventories that did specify the material in more detail. For instance, aluminum was included as a mix of primary and secondary aluminum according to their share on worldwide production and the steel used in the rotors was included as chromium steel 18/8. | ||||
| • | In two publications the category “others” appeared. In the study by Schleisner, this involved 700 kg, which corresponds to 1.2% of the total turbine mass.(27) In the study by Martinez et al, 0.2% of the total turbine mass was declared as others.(29) Due to the low relative share, these amounts were left out in the harmonized inventory. | ||||
| • | The electronic control units as well as the electric cables were not included in all studies. The electronics box was considered independent of turbine size and modeled according to Martinez et al.(29) The electronic cables were divided into cables running from the hub to the tower base and from the tower base to the grid. The first set of cables depended directly on hub height, and the inventories were parametrized according to hub height. The second set was considered size independent as the distance to the grid was assumed 1000 m for all cases. | ||||
| • | The published studies used different sources for unit process data. The harmonized inventories all revert to unit process data available in the ecoinvent Database version 2.01.(35) | ||||
Life Cycle Impact Assessment
Environmental Size Scaling Laws
(10)where EI2 is the environmental impact of equipment 2; EI1 is the environmental impact of equipment 1; X2 is the capacity factor of equipment 2; X1 is the capacity factor of equipment 1 and be is the environmental scaling factor.Environmental Experience Curve Concept
(11)
(12)where EIcum is an environmental indicator, such as global warming potential per unit after cumulative units have been produced; EI0 environmental indicator of the first produced unit and ze is the environmental experience index. The reported production year of the turbines mentioned in the LCA studies was linked with the cumulative wind power production in Europe within that year.(38) This step enabled plotting the environmental impact from each turbine to the cumulative production in Europe and hence the environmental progress rate was calculated according to eqs 11 and 12. The prevented environmental impact (GWP/kWh) due to learning was calculated as the difference between the environmental impact from the engineering-based modeling and the empirical modeling.Regression and Statistics
(13)Results
Empirical Size Model and Learning on a Micro Level
Figure 2

Figure 2. a. Mass M (kg) of turbine components and total mass versus rotor diameter D (m). b. Total mass M (kg) versus D2h3/7 c. Global warming potential per produced kWh (kg CO2-eq./kWh) versus D2h3/7. d. Global warming potential per rotor (kg CO2-eq./rotor) versus rotor diameter D (m), the dashed line presents the expected pure size scaling according to the engineering-based model, the solid line presents the empirical scaling line.
| relationshipa | log a (95% CI) | b (95% CI) | R2 | SE | n |
|---|---|---|---|---|---|
| Mtotal ∝ D2h3/7 | 1.90 (1.48–2.31) | 0.76 (0.67–0.87) | 0.97 | 0.084 | 12 |
| Mrotor ∝ D | 0.30 (−0.50–1.09) | 2.22 (1.80–2.73) | 0.93 | 0.165 | 10 |
| Mnacelle ∝ D | 0.64 (−0.07–1.35) | 2.19 (1.81–2.65) | 0.95 | 0.147 | 10 |
| Mtower ∝ D | 1.70 (1.27–2.13) | 1.82 (1.58–2.09) | 0.97 | 0.088 | 10 |
| Mtower ∝ D2h | 1.34 (0.94–1.74) | 0.68 (0.60–0.76) | 0.98 | 0.074 | 10 |
| Mfoundation ∝ D | 1.44 (0.63–2.25) | 1.58 (1.20–2.09) | 0.84 | 0.175 | 12 |
| Melectronics&cables ∝ h | 2.88 (2.83–2.93) | 0.32 (0.30–0.35) | 0.98 | 0.008 | 12 |
Note that the scaling factors for the mass of the rotor, nacelle, tower and foundation were given as D1, whereas in Table 2 the engineering-based scaling laws were given as D3. This representation was chosen to state more clearly the difference between the engineering-based scaling factor of 3 and the empirical scaling factor of below 3. The difference was caused by learning.
| impact category | unit | log a (95% CI) | b (95% CI) | R2 | SE | n |
|---|---|---|---|---|---|---|
| climate change | kg CO2 eq/kWh | –0.93 (−1.27 to −0.59) | –0.22 (−0.16 to −0.31) | 0.77 | 0.070 | 12 |
| freshwater ecotoxicity | kg 1,4-DB eq/kWh | –1.66 (−2.13 to −1.18) | –0.39 (−0.29 to −0.51) | 0.84 | 0.097 | 12 |
| urban land occupation | m2a/kWh | 0.58 (0.41–0.76) | –0.87 (−0.82 to −0.91) | 0.995 | 0.036 | 12 |
| metal depletion | kg Fe eq/kWh | –0.22 (−0.68–0.23) | –0.35 (−0.26 to −0.46) | 0.83 | 0.093 | 12 |
95% CI: 95% confidence interval; R2: coefficient of determination; SE: standard error; n: number of observations.
Experience Curve and Environmental Progress Rate on a Macro Level
Figure 3

Figure 3. a. Calculated power output P versus erection year on the left axis (black squares) and rotor diameter D on the right axis (gray diamonds). b. Global warming potential (GWP) per produced kWh energy versus erection year. c. Empirical environmental experience curve for global warming potential GWP per kWh produced electricity versus the European cumulative production (MW). d. Prevented environmental impact (GWP/kWh) versus the European cumulative production (MW) compared to the engineering-based model.
Discussion
Empirical Scaling Factors
Environmental Experience Curve
Sensitivities and Limitations
Additional details on raw data, life cycle inventories and results. This material is available free of charge via the Internet at http://pubs.acs.org.
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Acknowledgment
This work was supported by the European Commission under the seventh framework program on environment; ENV. 2008.3.3.2.1: PROSUITE—Sustainability Assessment of Technologies, grant agreement number 227078.
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Abstract

Figure 1

Figure 1. Wind turbine and its components.
Figure 2

Figure 2. a. Mass M (kg) of turbine components and total mass versus rotor diameter D (m). b. Total mass M (kg) versus D2h3/7 c. Global warming potential per produced kWh (kg CO2-eq./kWh) versus D2h3/7. d. Global warming potential per rotor (kg CO2-eq./rotor) versus rotor diameter D (m), the dashed line presents the expected pure size scaling according to the engineering-based model, the solid line presents the empirical scaling line.
Figure 3

Figure 3. a. Calculated power output P versus erection year on the left axis (black squares) and rotor diameter D on the right axis (gray diamonds). b. Global warming potential (GWP) per produced kWh energy versus erection year. c. Empirical environmental experience curve for global warming potential GWP per kWh produced electricity versus the European cumulative production (MW). d. Prevented environmental impact (GWP/kWh) versus the European cumulative production (MW) compared to the engineering-based model.
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