The Economic Feasibility of Floating O ﬀ shore Wave Energy Farms in the North of Spain

: A technique to analyse the economic viability of o ﬀ shore farms composed of wave energy converters is proposed. Firstly, the inputs, whose value will be considered afterwards in the economic step, was calculated using geographic information software. Secondly, the energy produced by each wave converter was calculated. Then the economic factors were computed. Finally, the restriction that considers the depth of the region (bathymetry) was put together with the economic outputs, whose value depends on the ﬂoating Wave Energy Converter (WEC). The method proposed was applied to the Cantabric and Atlantic coasts in the north of Spain, a region with a good o ﬀ shore wave energy resource. In addition, three representative WECs were studied: Pelamis, AquaBuoy and Wave Dragon; and ﬁve options for electric tari ﬀ s were analysed. Results show the Wave Energy Converter that has the best results regarding its LCOE (Levelized Cost of Energy), IRR (Internal Rate of Return) and NPV (Net Present Value), and which area is best for the development of a wave farm.


Introduction
On December 2015, the meeting of the UNFCCC (United Nations Framework Convention on Climate Change) achieved the Paris Agreement, which explains the importance of combating climate change in areas such as the long-term temperature objective, global peaking and mitigation, among others [1]. In this context, repowering wind farms [2] and offshore renewable energies are being developed as alternatives to fossil fuels, being of interest to institutions [3].
There are several categories of offshore renewable resources: waves, tides, offshore wind [4,5], salinity gradient and ocean thermal energy [6]. These types of energies can be developed in oceanic areas where traditional resources are not feasible [7]. In addition, according the bathymetry where the offshore renewable energy farm was installed, it can be classified in fixed and floating offshore renewable energies, depending on the depth [8]: up to 50 m (shallow waters) or more than 50 m (deep waters), respectively [9].
Wave energy is considered by researchers by following two approaches: designing and testing wave energy devices and studying the wave energy resource to find the best locations where wave converters can be installed and to improve the energy extraction of the platforms [10][11][12]. This is especially important for large coastal areas, as the problem of supplying wave energy to an isolated island is more specific and the needs are often more demanding, but even there studies are required [13][14][15][16][17][18][19].
The energy of waves is extracted using a WEC (Wave Energy Converter), which is classified depending on its working principle [20,21]. The oscillating water column structure uses an air turbine [22,23]. Some examples of this type of technology are Pico [24], LIMPET, Mighty Whale [25], The method proposed was applied to the Cantabric and Atlantic coast of the north of Spain, where the offshore wave energy resource assessment shows good results in terms of wave resource [52]. In addition, three WECs were analysed: AquaBuoy, Wave Dragon and Pelamis; and five scenarios for electric tariffs were analysed. Results show the best wave converter in economic terms, considering its NPV, IRR and LCOE, and where the optimal location is for installing a farm of the characteristics defined within the chosen region.

General Description
The four phases of the proposed method are described in Figure 1.
to each map of each economic parameter, whose value depends on the kind of WEC.
The method proposed was applied to the Cantabric and Atlantic coast of the north of Spain, where the offshore wave energy resource assessment shows good results in terms of wave resource [52]. In addition, three WECs were analysed: AquaBuoy, Wave Dragon and Pelamis; and five scenarios for electric tariffs were analysed. Results show the best wave converter in economic terms, considering its NPV, IRR and LCOE, and where the optimal location is for installing a farm of the characteristics defined within the chosen region.

General Description
The four phases of the proposed method are described in Figure 1. The geographic stage generated the inputs, which were applied in the economic stage: the shape and scale parameter of wind, the period and height of waves and the depth of the area, as well as the distance of the WEC farm to shore, WEC farm to shipyard and WEC farm to port.
The second stage is the estimation of the energy produced by each wave device, which was estimated contemplating two procedures, depending on the accessible information and the wanted exactitude.  The geographic stage generated the inputs, which were applied in the economic stage: the shape and scale parameter of wind, the period and height of waves and the depth of the area, as well as the distance of the WEC farm to shore, WEC farm to shipyard and WEC farm to port.
The second stage is the estimation of the energy produced by each wave device, which was estimated contemplating two procedures, depending on the accessible information and the wanted exactitude. Otherwise, the whole life-cycle cost of the WEC farm was estimated considering the energy produced and the initial inputs. Then, using the costs and the energy, the main parameters in the feasibility study could be developed: the IRR, NPV and LCOE.
At the end, the restriction of bathymetry will be considered, because the installation of a WEC is dependent on it. Although, it would be very interesting for future studies to consider other restrictions, such as navigation routes, seismic fault lines, conservation protected areas, etc. These restrictions were not considered in this study.

Phase 1
In the first stage (geographic), the inputs of the economic stage were calculated. They were introduced as input maps in the methodology, which will output the economic maps. The input values were shape and scale parameter of the offshore wind, the period and height of waves and the depth of the area selected, as well as the distance of the WEC farm to shore, WEC farm to shipyard and WEC farm to port.
The wind shape and scale parameters were obtained from the Era-Interim's wind transport vectors (u, v). The intensity of the wind was calculated using Equation (1): Afterwards, a probability distribution function (PDF) was fitted to the calculated wind intensity data set. The Weibull distribution was chosen, considering that it is the most commonly used for this parameter [53]. Using the Matlab function wblfit, applied to the mentioned data set, it was possible to obtain the scale and shape parameters, done so by using the Maximum Likelihood method with a 95% confidence interval.
The wave factors Wave Period (Tm) ("mean of all wave periods in a time-series representing a certain sea state" [54]) and Significant Wave Height (Hs) ("average height of the highest waves in a waves in a wave group" [54]) were taken from a hindcast study previously performed [55] with the wave models WW (Wavewatch) III [56] and SWAN (Simulating Waves Nearshore) [57].
Considering the size of the grid, it was important to guarantee that the farm was located inside the cell. The wave devices were installed (see Figure 2) following a general distribution:

•
Between devices: a distance of 87.5 times D (characteristic diameter).

•
Between lines of devices: a distance of 47.5 times D.
Otherwise, the whole life-cycle cost of the WEC farm was estimated considering the energy produced and the initial inputs. Then, using the costs and the energy, the main parameters in the feasibility study could be developed: the IRR, NPV and LCOE.
At the end, the restriction of bathymetry will be considered, because the installation of a WEC is dependent on it. Although, it would be very interesting for future studies to consider other restrictions, such as navigation routes, seismic fault lines, conservation protected areas, etc. These restrictions were not considered in this study.

Phase 1
In the first stage (geographic), the inputs of the economic stage were calculated. They were introduced as input maps in the methodology, which will output the economic maps. The input values were shape and scale parameter of the offshore wind, the period and height of waves and the depth of the area selected, as well as the distance of the WEC farm to shore, WEC farm to shipyard and WEC farm to port.
The wind shape and scale parameters were obtained from the Era-Interim's wind transport vectors (u, v). The intensity of the wind was calculated using Equation (1): Afterwards, a probability distribution function (PDF) was fitted to the calculated wind intensity data set. The Weibull distribution was chosen, considering that it is the most commonly used for this parameter [53]. Using the Matlab function wblfit, applied to the mentioned data set, it was possible to obtain the scale and shape parameters, done so by using the Maximum Likelihood method with a 95% confidence interval.
The wave factors Wave Period (Tm) ("mean of all wave periods in a time-series representing a certain sea state" [54]) and Significant Wave Height (Hs) ("average height of the highest waves in a waves in a wave group" [54]) were taken from a hindcast study previously performed [55] with the wave models WW (Wavewatch) III [56] and SWAN (Simulating Waves Nearshore) [57].
Considering the size of the grid, it was important to guarantee that the farm was located inside the cell. The wave devices were installed (see Figure 2) following a general distribution:

•
Between devices: a distance of 87.5 times D (characteristic diameter).

•
Between lines of devices: a distance of 47.5 times D.
The bathymetry studied was provided by GEBCO (General Bathymetric Chart of the Oceans), and it was considered for both the SWAN simulations and the bathymetry restriction assessment. However, to have the cell size recommended for application of the wave farm, the bathymetry resolution and the parameters aforementioned (Hs, Tm and I) were interpolated from a grid resolution of 0.05°×0.1° for Hs and Tm, and 0.5° × 0.5° for I to 0.15° × 0.3°. To do so, the function interp2, from Matlab (MathWorks, USA), which uses a linear interpolation, was applied to the data.  The bathymetry studied was provided by GEBCO (General Bathymetric Chart of the Oceans), and it was considered for both the SWAN simulations and the bathymetry restriction assessment. However, to have the cell size recommended for application of the wave farm, the bathymetry resolution and the parameters aforementioned (Hs, Tm and I) were interpolated from a grid resolution of 0.05 • ×0.1 • for Hs and Tm, and 0.5 • × 0.5 • for I to 0.15 • × 0.3 • . To do so, the function interp2, from Matlab (MathWorks, USA), which uses a linear interpolation, was applied to the data.

Phase 2
The energy stage calculates the energy generated by the wave converters (E 1WEC ). There are two approaches to calculate the energy: one of them considers the power matrix of the WEC and the probability matrix of the sea states of the place taken into account, as is shown in Equation (2); p ij being the % of energy related to the bin described by line i and column j. On the other hand, P ij is the electric power related to the identical energy bin for the wave energy converter studied [21], which is a function of wave height (H) and wave period (T); the other methodology depends on the water density (ρ), gravity (g), wave period (T), wave height (H s ) and % efficiency (η e f f iciency ), as is shown in Equation (3): Then the energy generated by one wave energy converter is computed, as Equation (4) indicates. It depends on the quantity of annual hours (NHAT), the power generated (P WEC ), the availability (η availability ) and the losses generated by the transmission system (η transmissionlosses ), as In this paper, the first method will be applied, because it is more detailed and gives better results. Consequently, it is essential to provide the power matrix of the wave device, provided by the enterprise of the wave device, and the matrix of probability of the sea states for each point of the layout of the location of the study.

Phase 3
The economic stage uses the inputs of Phase 1 and the results obtained in Phase 2 to determine two aspects: • The investment of the wave farm.

•
The economic factors needed to determine if the farm is economically viable.
All these inputs (the shape and scale factors of the offshore wind, wave height, wave period, the depth of the region, the distances from the farm to the shore, shipyard and port) and the energy generated by the converter change, their value depending on the "k" point of the map, were taken into account. For instance, the wind parameters affect to the mooring cost, the wave height and period affect the calculation of the energy produced; the depth affects the calculation of mooring; and the distances affect the cost of installing, exploiting and dismantling.
Therefore, the estimation of the total cost of a Floating Offshore Wave Energy Farm (FOWEF) is calculated adapting the lifecycle cost of an offshore energy farm, which has been developed in previous analyses [58,59].
Nevertheless, NPV consists in the net value of the cash flows of the project, taking into account its discount from the initial years, when the investment is developed [58] (Castro-Santos et al., 2016). It depends on the cash flow (CF t ), the life of the project (N f arm ), the initial investment (G 0 ) and the capital cost (r) (Castro-Santos et al., 2016).
On the other hand, IRR is the capital cost obtained when the NPV is equal to zero [58,61].
The WACC (Weighted Average Cost of Capital) (Equation (9)) depends on the total equity (MV e ) and its cost (R e ), the total debt (MV d ) and its cost (R d ) and the tax shield ((1 − T)).
The FOWEF is economically viable if: • The net present value is higher than zero.

•
The internal rate of return is higher than the weighted average capital cost.

•
The levelized cost of energy has reduced values comparing different types of technologies.

Phase 4
Phase 4 consists of applying restrictions to the area where the FOWEF would be installed. In this context, a good region in economic terms (IRR, NPV and LCOE) can be limited by some restrictions (seismic areas, conservation regions, offshore electric cables, navigation routes, etc.). However, the only restriction taken into account in this work was the bathymetry. In this context, the value considered as a restriction regarding depth has been calculated considering some increasing of the maximum draft of all the platforms. The main reason is because the platform needs a space from the lowest part of the structure to the seabed in order to install the mooring and anchoring systems. This process was made using the geographic information system software QGIS (QGIS Development Team, GNU GPL).
On the other hand, it is important to restrict the maps in Phase 4 and not in Phase 1 because the value of the restrictions can change. For instance, regarding bathymetry restrictions: changes due to the improvement of the technology, which reduce the value of the draft; and regarding navigation routes: changes in the navigation areas due to changes in the world trade, etc. Therefore, it is better to calculate the economic map for all the points of the location and, afterwards, limiting the map using the restrictions.

Case Study
The location of the case study is the Cantabric and Atlantic regions in the northwest of Spain, as shown in Figure 3. This location is characterized by a good offshore wave resource and deep waters (more than 500 m very closed to the Galician shore ( Figure 4). Three different floating wave devices were studied: Pelamis, AquaBuoy and Wave Dragon. Properties of the farm vary depending on the type of converter studied (see Figure 5), as shown in Table 1.
Twenty years is the life considered for the farm, with the dimension of the grid being 16 km × 33 km. This location is characterized by a good offshore wave resource and deep waters (more than 500 m very closed to the Galician shore ( Figure 4). This location is characterized by a good offshore wave resource and deep waters (more than 500 m very closed to the Galician shore ( Figure 4). Three different floating wave devices were studied: Pelamis, AquaBuoy and Wave Dragon. Properties of the farm vary depending on the type of converter studied (see Figure 5), as shown in Table 1.
Twenty years is the life considered for the farm, with the dimension of the grid being 16 km × 33 km. Three different floating wave devices were studied: Pelamis, AquaBuoy and Wave Dragon. Properties of the farm vary depending on the type of converter studied (see Figure 5), as shown in Table 1.   The Spanish electric tariff regulation is always changing, making it an unstable energy situation for enterprises [65]. Therefore, several different tariffs were considered [66]: 100 €/MWh (S1), 200 €/MWh (S2), 300 €/MWh (S3), 400 €/MWh (S4) and 600 €/MWh (S5). Figure 6 shows the restriction studied for depth: 50 m, whose value is created by adding 20 m onto the highest draft of all the structures taken into account.  The Spanish electric tariff regulation is always changing, making it an unstable energy situation for enterprises [65]. Therefore, several different tariffs were considered [66]: 100 €/MWh (S1), 200 €/MWh (S2), 300 €/MWh (S3), 400 €/MWh (S4) and 600 €/MWh (S5). Figure 6 shows the restriction studied for depth: 50 m, whose value is created by adding 20 m onto the highest draft of all the structures taken into account.
Energies 2020, 13, x FOR PEER REVIEW 8 of 20  The Spanish electric tariff regulation is always changing, making it an unstable energy situation for enterprises [65]. Therefore, several different tariffs were considered [66]: 100 €/MWh (S1), 200 €/MWh (S2), 300 €/MWh (S3), 400 €/MWh (S4) and 600 €/MWh (S5). Figure 6 shows the restriction studied for depth: 50 m, whose value is created by adding 20 m onto the highest draft of all the structures taken into account. The energy produced by a wave device in all the points of the geography selected depends on its power matrix (Tables 2-4) and the number of occurrences of each sea state, in each point. Tables 5  and 6 represent an example of the number of occurrences of each sea state for two aleatory points of the coast. However, each point of the geography is characterized by one matrix similar to these. Table 2. Power matrix of D1, Hs being the significant wave height and Tp the peak wave period ("wave period with the highest energy" [54]) [60].
The energy produced by a wave device in all the points of the geography selected depends on its power matrix (Tables 2-4) and the number of occurrences of each sea state, in each point. Tables 5  and 6 represent an example of the number of occurrences of each sea state for two aleatory points of the coast. However, each point of the geography is characterized by one matrix similar to these. Table 2. Power matrix of D1, Hs being the significant wave height and Tp the peak wave period ("wave period with the highest energy" [54]) [60].      Table 4. Power matrix of D3, Hs being the significant wave height and Tp the peak period [60].

Power Matrix (in kW)
Tp (s) Therefore, the power produced by each WEC can be calculated. Figures 7-9 show the power produced by the different WECs considered depending on the region selected. In this sense, Wave Dragon is the structure that takes advantage of the resource of waves in the north of Spain. However, although this fact is very important, the calculation of the economic feasibility is also dependent on the investment required for installing the farm. Therefore, it should be also analysed in order to determine the best structure in economic terms. Therefore, the power produced by each WEC can be calculated. Figures 7-9 show the power produced by the different WECs considered depending on the region selected. In this sense, Wave Dragon is the structure that takes advantage of the resource of waves in the north of Spain. However, although this fact is very important, the calculation of the economic feasibility is also dependent on the investment required for installing the farm. Therefore, it should be also analysed in order to determine the best structure in economic terms.  . Figure 9. Power of Wave Dragon.
The value considered for and is 0.9. Finally, the main economic parameters are shown in Table 7.

Concept
Nomenclature Value Units . Figure 9. Power of Wave Dragon.
The value considered for and is 0.9. Finally, the main economic parameters are shown in Table 7.

Nomenclature Value Units
Life of the project t 20 years The value considered for η availability and η transmissionlosses is 0.9. Finally, the main economic parameters are shown in Table 7. Table 7. Economic parameters.

Concept Nomenclature Value Units
Life of the project t 20 years Capital cost r 8% -

Results
The best LCOE has a value of 513.17 €/MWh for the Wave Dragon (Figure 10c). It is followed by 1710.98 €/MWh for the Pelamis, see Figure 10a, and 2627.60 €/MWh for the AquaBuoy (Figure 10b). Figure 10 also shows that the best area for exploiting wave energy is the northwest area of the Galician region, where all the platforms have the lowest LCOE. Nevertheless, the previous maps ( Figure 10) cannot be available in all the area that they have been developed. It is due to the fact that the installation of WECs depends on the bathymetry. In this context, a restriction for bathymetry has been considered. It generates a different map of LCOE, with restrictions for each different WEC. Figures 11-13 show the values of LCOE, IRR and NPV limited by the restriction of bathymetry. Nevertheless, the previous maps ( Figure 10) cannot be available in all the area that they have been developed. It is due to the fact that the installation of WECs depends on the bathymetry. In this context, a restriction for bathymetry has been considered. It generates a different map of LCOE, with restrictions for each different WEC. Figures 11-13 show the values of LCOE, IRR and NPV limited by the restriction of bathymetry. It is important because there are areas where the economic values can be good, but whose depth limits the installation of the farm. However, studying S1 with the 100 €/MWh electric tariff, all the results are not economically feasible. In this context, the best value for IRR is −17.45% for Wave Dragon. All the values are inferior to the WACC. In addition, the best values for NPV go from −725.29 M€ for Wave Dragon to −829.00 M€ for Pelamis and to −2664.39 M€ for AquaBuoy, all of them being less than zero, which indicates that this project would not be economically feasible with the electric tariff proposed in S4.
However, S5, which studies a 600 €/MWh electric tariff, has the best outcome compared to the previous ones. In this sense, the best values for IRR go from 7.66% for Wave Dragon (Figure 12c) to -21.58% for Pelamis (Figure 12a) and to -28.89% for AquaBuoy (Figure 12b). The value for WACC depends on the location, because it changes depending on the total equity (MV_e) and the total debt (MV_d), which is dependent on the life-cycle costs of the site. In this sense, values of WACC go from 6% to 7%. Therefore, Wave Dragon would be economical for S5.
Considering the net present value, its best values for S5 go from 95.16 M€ for Wave Dragon (Figure 13c) to −564.93 M€ for Pelamis ( Figure 13a) and to −2132.19 M€ for AquaBuoy (Figure 13b). Therefore, Wave Dragon is the unique structure that is economically feasible regarding NPV, because it has positive values.
Maps show that the best area is located close to the city of Ferrol, A Coruña, in NW Spain. In addition, this area has technology and technicians to support this development. Therefore, it is a good region to install wave farms in the future, especially when the decrease in costs due to the commercial phases and the stability of the electric tariff would guarantee the confidence of investors. Nevertheless, in this study, it does not affect to the best values for the LCOE for all the WECs, being the best areas located in the area selected considering the bathymetry restriction, as is shown in Figure 11.
However, studying S1 with the 100 €/MWh electric tariff, all the results are not economically feasible. In this context, the best value for IRR is −17.45% for Wave Dragon. All the values are inferior to the WACC. In addition, the best values for NPV go from −725.29 M€ for Wave Dragon to −829.00 M€ for Pelamis and to −2664.39 M€ for AquaBuoy, all of them being less than zero, which indicates that the project would not be economically feasible with the electric tariff taken into consideration. Therefore, Wave Dragon is the unique structure that is economically feasible regarding NPV, because it has positive values.
Maps show that the best area is located close to the city of Ferrol, A Coruña, in NW Spain. In addition, this area has technology and technicians to support this development. Therefore, it is a good region to install wave farms in the future, especially when the decrease in costs due to the commercial phases and the stability of the electric tariff would guarantee the confidence of investors.

Conclusions
The goal of this paper was to establish a procedure to analyse, economically, where to install offshore farms composed of wave energy converters. For this purpose, their IRR, NPV and LCOE were studied. Firstly, the inputs were created considering geographic information systems: the shape parameter of wind, the scale parameter of wind, the period and height of waves, the depth and the most important distances. Secondly, the energy generated by each converter was calculated. It can be determined considering some approaches, considering the available data or the desired precision. Afterwards, the economic factors were computed. Finally, the restriction of bathymetry was introduced onto the maps of the economic factors.
A feasibility model was developed for the Cantabric and Atlantic shores in the north of Spain, where the offshore wave energy has good values. In particular, three WECs were taken into consideration: Wave Dragon, AquaBuoy and Pelamis; and five scenarios for electric tariffs were studied. Although all three WECs studied are physically different, they can be compared in economic terms (mainly LCOE) in order to establish the most appropriate to be installed in the location selected.
Results show the economically preferable converter considering its LCOE, IRR and NPV and the best region to install a wave farm. The best LCOE has a value of 513.17 €/MWh for Wave Dragon. It is followed by 1710.98 €/MWh for Pelamis and 2627.60 €/MWh for AquaBuoy. According the IRR and Moreover, results for S2 with the 200 €/MWh electric tariff have better results than S1, but they are also not economically feasible. Then, the best value for IRR is −8.13% for Wave Dragon. All the results calculated for the IRR in S2 are less than the WACC; therefore, the project will not be economically feasible in these conditions. In addition, the best values for NPV go from −553.05 M€ for Wave Dragon to −776.97 M€ for Pelamis and to −2558.95 M€ for AquaBuoy. Therefore, the values of NPV for S2 are all negative. It indicates that this project is not economically feasible with the electric tariff proposed in S2.
Results for S3 with the 300 €/MWh electric tariff are better than S1 and S2, but they are also not economically feasible. Then, the best value for IRR is −2.77% for Wave Dragon. All the results calculated for the IRR in S3 are less than the WACC; therefore, the project will not be economically feasible in these conditions. In addition, the best values for NPV go from -382.28 M€ for Wave Dragon to −724.66 M€ for Pelamis and to −2453.11 M€ for AquaBuoy-all of them negative-which indicates that this project would not be economically feasible with the electric tariff proposed in S3.
Results for S4 with the 400 €/MWh electric tariff are superior than S1, S2 and S3, but they are also not economically feasible. Then, the best value for IRR is 1.33% for Wave Dragon. All the results calculated for the IRR in S4 are less than the WACC; therefore, the project will not be economically feasible in these conditions. In addition, the best values for NPV go from −213.29 M€ for Wave Dragon to −671.99 M€ for Pelamis and to −2346.78 M€ for AquaBuoy-all of them negative-which indicates that this project would not be economically feasible with the electric tariff proposed in S4.
However, S5, which studies a 600 €/MWh electric tariff, has the best outcome compared to the previous ones. In this sense, the best values for IRR go from 7.66% for Wave Dragon (Figure 12c) to -21.58% for Pelamis (Figure 12a) and to -28.89% for AquaBuoy (Figure 12b).
The value for WACC depends on the location, because it changes depending on the total equity (MV_e) and the total debt (MV_d), which is dependent on the life-cycle costs of the site. In this sense, values of WACC go from 6% to 7%. Therefore, Wave Dragon would be economical for S5.
Considering the net present value, its best values for S5 go from 95.16 M€ for Wave Dragon (Figure 13c) to −564.93 M€ for Pelamis ( Figure 13a) and to −2132.19 M€ for AquaBuoy (Figure 13b). Therefore, Wave Dragon is the unique structure that is economically feasible regarding NPV, because it has positive values.
Maps show that the best area is located close to the city of Ferrol, A Coruña, in NW Spain. In addition, this area has technology and technicians to support this development. Therefore, it is a good region to install wave farms in the future, especially when the decrease in costs due to the commercial phases and the stability of the electric tariff would guarantee the confidence of investors.

Conclusions
The goal of this paper was to establish a procedure to analyse, economically, where to install offshore farms composed of wave energy converters. For this purpose, their IRR, NPV and LCOE were studied. Firstly, the inputs were created considering geographic information systems: the shape parameter of wind, the scale parameter of wind, the period and height of waves, the depth and the most important distances. Secondly, the energy generated by each converter was calculated. It can be determined considering some approaches, considering the available data or the desired precision. Afterwards, the economic factors were computed. Finally, the restriction of bathymetry was introduced onto the maps of the economic factors.
A feasibility model was developed for the Cantabric and Atlantic shores in the north of Spain, where the offshore wave energy has good values. In particular, three WECs were taken into consideration: Wave Dragon, AquaBuoy and Pelamis; and five scenarios for electric tariffs were studied. Although all three WECs studied are physically different, they can be compared in economic terms (mainly LCOE) in order to establish the most appropriate to be installed in the location selected.
Results show the economically preferable converter considering its LCOE, IRR and NPV and the best region to install a wave farm. The best LCOE has a value of 513.17 €/MWh for Wave Dragon. It is followed by 1710.98 €/MWh for Pelamis and 2627.60 €/MWh for AquaBuoy. According the IRR and the NPV, they only have economic feasible values for the case of an electric tariff of 600 €/MWh and for the Wave Dragon platform.
The best area is located close to the city of Ferrol (NW Spain). In addition, this area has technology and technicians to support this development. Therefore, installing this type of energy converters is a good opportunity for the future of the region, when the diminution of costs becomes significant so as to invest in this type of technology.