1. Introduction
The global need for new research and development of large-scale wind turbines is growing. New wind turbines will help lower the Levelized Cost of Energy (LCoE) [
1], and efficiently harness the powerful and renewable energy source that is wind. Wind turbine manufacturers such as Vestas, Siemens-Gamesa, GE, and Mingyang have already commercialized or are preparing to commercialize 12 to 16 MW wind turbines, and national institutions are also actively researching the topic. The US National Renewable Energy Laboratory (NREL), for example, announced a 5 MW reference wind turbine (RWT) [
2] in 2009. Although the NREL 5 MW wind turbine was not intended for manufacture, it was used to provide input data for FAST software version 7 [
3] (an aeroelastic analysis tool for wind turbines) and served as a widely known reference among wind turbine manufacturers as well as researchers. The IEA presented a 15 MW class wind turbine [
4], which was scaled-up based on a DTU 10 MW reference wind turbine [
5], and also presented related aeroelastic analysis results using HAWC2 software version 12.8 [
6] developed by DTU. The DTU 10 MW system adopted a medium speed multi-stage gearbox with a maximum tip speed of 90 m/s, whilst the IEA 15 MW system adopted a direct drive and had maximum tip speed of 95 m/s. The two systems were identical in their other parameters, as both belonged to the FFA-W3 airfoil series, IEC-1B turbine class, and possessed the same upwind-type rotor orientation and three-bladed rotor.
Reference [
5] reports a 3-bladed 20 MW upwind rotor system based on the UpWind 5-MW reference turbine (version 8). The design employed the ECN’s PHATAS code for aeroelastic load calculation consistent with IEC61400-1 edition 2 Class II B [
7]. Blade shape was determined using the classically up-scaled wind turbine geometry in BOT [
8]. High Reynolds number aerodynamic performance data up to 20 million was investigated using RFOIL [
9]. Other 20 MW wind turbines have been developed and presented through UpWind, INNWIND.EU, and other projects for reference wind turbines [
10,
11]. Furthermore, a phased study for the development of a 50 MW class wind turbine system is in progress in the United States of America [
12,
13,
14,
15].
The INNWIND.EU project of the European Union has developed innovative rotor designs, drivetrain components, and fixed and floating substructures that significantly reduce the LCoE (levelized cost of energy) while increasing the efficiency of 10 and 20 MW offshore wind turbines [
16]. One of the project’s most important innovations is the low axial induction rotor (LIR), which captures more energy while constraining extreme loads at the blade root and large rotor diameters [
16,
17]. During the blade design stage, the amount of material used in the blade is the most significant cost determinant. Scaling up a 5 MW class wind turbine to a 20 MW class turbine results in a doubling of blade length, but an eight-fold increase in mass [
1,
18]. Unfortunately, the new generation of improved materials used for wind turbine manufacturing has not kept pace with the speed of load increase associated with larger wind turbines. To reinforce the stiffness of the blades, using more material may be necessary, which increases the LCoE. Therefore, an additional consideration in the design of very large blades, such as those in the 20 MW class, is how to reduce loads while meeting power curve requirements. To address these issues, the concept of low-induction rotor design has been introduced. The axial induction factor is the fractional decrease in axial wind speed between the far upstream and rotor plane, and the lower the axial induction factor, the less thrust is produced. The INNWIND.EU’s 20 MW LIR blade is 13% longer and 7.6% heavier than the blade of the 20 MW reference wind turbine developed through the same project [
17]. Ultimately, the LCoE was reduced by 4% using this system instead of the 20 MW RWT [
17].
One study attempted to obtain the lowest LCoE possible by changing the number of blades, tip speed ratio, chord length distribution, axial induction factor, and lift coefficient of 20 MW or higher-class reference wind turbines. Clearly, achieving a lower LCoE is a very important goal, even at the preliminary design stage. While estimating annual energy production during this stage is not difficult, estimating the production costs, a component of LCoE, requires a study. LCoE can be divided into two topics: wind turbines and wind farms. Shafiee et al. [
19] developed a parametric whole life cycle cost model to identify the key cost drivers of offshore wind projects and parameters that significantly influence the LCOE. The proposed model was tested on a 500-MW offshore baseline wind farm project, and the results were compared with experimental findings reported in the literature. It is asserted that the proposed model can help evaluate project performance and reduce costs. Griffith et al. [
20] studied blade manufacturing costs for the Sandia 100 m wind turbine blade using the Sandia Blade Manufacturing Cost Tool (version 1.0). They conducted sensitivity studies as examples to demonstrate the potential use of the tool for cost tradeoff analyses between materials, labor content, and equipment components involved in blade manufacturing. Ashuri [
21] and Ashuri et al. [
22] presented a method for multidisciplinary design analysis optimization (MDAO) of large-scale wind turbines. In their referenced work, they optimized the NREL 5 MW reference wind turbine and scaled it up to 10 MW and 20 MW to evaluate the effect on LCoE. Rotor and tower design parameters were optimized with the goal of reducing LCoE. In particular, the results obtained from the study of Reference [
21] were used to identify the scaling rule tendency. Serafeim et al. [
23] proposed an MDAO approach to reduce the LCoE of the DTU-10 MW Reference Wind Turbine. A cost model for the entire wind turbine was implemented by combining existing models from the literature with open data. The model considers the costs of composites, resin, adhesive, paint, bolts, lightning protection, as well as labor and other manufacturing process expenses. In addition, Bortolotti et al. [
24] presented several other MDAO-based frameworks. In their study, they described a comprehensive blade cost model for wind turbine blades ranging from 30 to 100 m in length. The proposed cost model was applied to three specific blades: the WindPACT blade, the IEA 3.4 MW wind turbine blade, and the SNL-100-03 blade. Material costs accounted for 45–70% of the total cost of these three blades [
20,
24].
In this study, the LCoE calculation focuses specifically on wind turbines. The cost elements of a wind turbine, as identified in Fingersh et al.’s study [
1], include the rotor, tower, drive train and nacelle, control and safety system, and balance of station. Additionally, for offshore wind turbines, there are supplementary costs associated with factors such as marinization, scour protection, and port and staging equipment. The most important elements of a wind turbine are the blade diameter and tower height. Cost of blade and tower account for 30% of the total cost [
22].
The reasons for presenting the blade mass model in this study and the need for it are as follows. Firstly, the proposed blade mass model replaces the traditional simple scaling rule [
1,
21] and incorporates the concept of reducing LCoE. It can provide not only mass distribution along the blade span but also the stiffness distribution. A low-induction rotor and a low-specific power [
25] concepts were adopted to reduce aerodynamic loads and lower the LCoE. The low-induction rotor design reduces the aerodynamic force exerted on the blade by minimizing the axial induction factor, resulting in a decreased amount of material required for blade fabrication. Additionally, the low-induction factor design compensates for lower power by increasing the blade length, achieving a low specific power and enabling the generation of rated power at lower wind speeds. This adjustment shifts the P-V curve to the left, ultimately increasing annual power generation. Moreover, by finding the axial induction factor that minimizes mass while satisfying the given P-V curve, the chord length and twist angle of the blade can be determined. The reduction in blade mass and the subsequent increase in annual energy production directly contribute to a lower LCoE, not only for the designed blade but also for the entire wind turbine system. Blade shapes, performance curves, and flapwise bending moments for various axial induction factors at the blade root are compared. Finally, the mass model of the blade proposed in this study can be used to obtain blade data for comprehensive aeroelastic analysis tools such as FAST [
3], including mass and stiffness distributions along the span direction. It is important to note that these blade data already reflected the concept of reducing the LCoE of the wind turbine in an earlier step of the MDAO process.
2. The Idea of the Low-Induction Rotor
The relationship between the mass model and the axial induction factor was determined using blade element momentum theorem [
26]. In this theorem, a one-dimensional incompressible steady potential flow is assumed. The rotor and its surrounding flow were briefly modeled with a stream tube (
Figure 1). The axial induction factor
was defined using the free stream wind speed
and wind speed
at the rotor plane. The power coefficient and thrust coefficient, which are the main coefficients of the wind turbine, were expressed as the axial induction factor. An optimal aerodynamic design aims to have an axial induction factor of
with a maximum power coefficient. As shown in
Figure 2, as the axial induction factor was reduced from 1/3 to 1/4, thrust decreased by 16%, while power decreased by only 5%, i.e., thrust materially decreased whilst the power decreased only slightly. The low-induction rotor design, which reduces the aerodynamic loads acting on the blade, reflects this idea. Equations (1) and (2) are the power and thrust coefficients for one-dimensional axisymmetric flow, expressed as an axial induction factor using the 1D momentum theorem:
This time, we want to determine the thrust acting on the blade using the blade element momentum theorem.
Figure 3 illustrates the aerodynamic loads acting on a blade section located at a distance of
r from the rotating axis and rotating at a speed of ω. Relative wind
brought to the cross section of the wind turbine blade and the components of the decomposed forces.
and
represent drag and lift, while
and
represent the results of decomposition into the thrust in a direction perpendicular to the rotor plane and the tangential force applied to the rotor plane.
directly affects power by inducing torque, while
affects the bending moment of the blade. All forces were assessed in terms of [Newton/m]. According to the momentum theorem, power is a function of axial and tangential induction factors, but thrust is a function of only the axial induction factor. This is expressed as the following equation:
in which
denotes the number of blades. The reduced power, a function of the low-induction rotor design, was compensated for by increasing the length of the blade. All blade designs were compared and analyzed based on the same power curve assumptions.
5. Conclusions
We developed a blade mass model and implemented it in the design of a 20 MW offshore rotor, utilizing a low-induction and low-specific power approach. The primary objectives of this design effort are to decrease the aerodynamic load on the blades through the low-induction concept, enhance the annual energy production (AEP) through the low-specific power concept, reduce blade costs, and ultimately achieve a lower levelized cost of energy (LCoE) for the wind turbine. A mathematical formula to express the mass ratio, which is the function of the axial induction factor, a, and blade shape, was also presented. All of airfoils’ aerodynamic data were calibrated to fit the Reynolds number of the 20 MW wind turbine blade.
The mass ratio formula showed that the lowest LCoE for the 20 MW wind turbine was achievable at a = 0.26, and this result was consistent when the blade’s share of the total system price was changed. Both the blade geometry along the spanwise direction and the power coefficient Cp according to the tip-speed-ratio λ of three selected axial induction factors (a = 0.2, 0.26, 0.3) were compared using PROPID’s reverse design process. We confirmed that the bending moment of the low-induction rotor (a = 0.26) at the blade root was less than that of the aerodynamically optimized rotor (a = 0.3). However, the maximum power coefficient value of the low-induction rotor was 4.1% less than that of the optimized rotor. This reduced performance was compensated for by increasing blade length to satisfy the same power curve assumptions. Overall, the low-induction rotor at a = 0.26 achieved an 8% reduction in mass compared to the aerodynamically optimized rotor at a = 0.3. By evaluating the LCoE parameters of each turbine component, the LCoE of the three 20 MW turbines developed in this study was calculated and compared to the LCoE of another wind turbine of the same capacity. The results showed that the LCoE of the low-induction rotor turbine (Case 3) not only had the lowest value, but it was also 7% smaller than the LCoE of the fourth wind turbine used for comparison.
Although a two-bladed rotor reduces costs by 27% more than a three-bladed rotor, we selected a three-bladed rotor for the 20 MW reference wind turbine. This decision was made because the two-bladed rotor experiences a reduced resonance avoidance margin with the tower, moment fluctuations during yawing motion, a diminished maximum power coefficient, and requires a teetering hub.
Finally, distribution of mass per unit length along the blade span was presented for the three-bladed upwind type rotor, reflecting the airfoil types, blade geometry, and shapes of internal structures such as spars and webs. The devised blade mass ratio model has shown itself to be a suitable formula for the preliminary design of blade shapes and estimation of mass distribution along the blade span for use in ultra-large scale reference wind turbines. The mass model of the blade proposed in this study can be utilized to obtain blade data, including mass and stiffness distribution along the blade span. This blade data is valuable for conducting comprehensive analyses using aeroelastic tools. Unlike the mass distribution result obtained through a simple scaling rule, this blade data reflects the concept of reducing the LCoE of the wind turbine.