1. Introduction
During the last few decades one of the main environmental goals has been the decarbonisation of the energy sector, which is one of the main greenhouse gas (GHG) producers globally. The conventional methods of producing energy from fossil fuels such as coal, oil, and natural gas cannot keep up with the climate goals set by global agreements, such as the Paris Agreement. Signed in 2015 by most countries, its main point was the limitation of global warming to below 2 degrees Celsius—ideally, no more than 1.5 degrees. To meet these goals, new clean, practical, and affordable energy technologies are required [
1].
As a potential renewable energy vector, green ammonia is one of the key solutions under investigation, showing the way to a more sustainable energy future. Beyond its traditional role in explosives, fertilisers, and industrial applications, ammonia has emerging potential as a clean fuel and a hydrogen energy carrier. When produced via renewable energy sources—such as wind or solar energy—green ammonia serves as a zero-carbon alternative to fossil fuels. Ammonia offers a flexible and efficient method for capturing, storing, and utilising renewable energy while significantly reducing global greenhouse gas emissions [
2].
Offshore wind energy is a particularly promising source for green ammonia production, thanks to the vast untapped potential of sea-based wind resources. The electricity generated by offshore wind farms can power water electrolysis systems to produce hydrogen, which can then be turned into ammonia—creating a carbon-neutral and renewable energy cycle [
3,
4]. However, it is not quite the same trying to transform fossil-based hydrogen into green ammonia production, especially since traditional methods rely on natural gas. Conventional ammonia synthesis cannot—at least at a reasonable cost—handle the intermittency of renewable energy sources [
5]; moreover, its reliance on fossil feedstocks leads to substantial CO
2 emissions, which is incompatible with long-term decarbonisation of fertiliser production. While direct air capture (DAC) can reduce emissions in ‘blue’ ammonia pathways, full decarbonisation ultimately requires renewable-powered electrolysis for hydrogen supply [
6]. Addressing these challenges requires significant initial investments, the advancement of efficient and affordable green ammonia production methods, the establishment of robust transportation and storage systems, and the implementation of supportive regulatory policies. A collaborative, multi-disciplinary strategy—integrating insights from engineering, environmental science, economics, and policy studies—is essential to overcome all these obstacles. Offshore wind energy leverages the strong and consistent winds found at sea compared to those on land. This advantage leads to higher energy output, making it a more reliable and efficient power source [
7].
Green ammonia is synthesised by combining hydrogen (derived from water electrolysis powered by solar or wind energy) with nitrogen extracted from the air, earning its ‘green’ name from the carbon-free sources used for its production. By transforming renewable power into ammonia, energy can be stored for extended periods and shipped globally, overcoming, practically, a major hurdle in scaling up renewables.
Conventional ammonia production, known as ‘grey’ ammonia, relies on the fossil fuel-powered Haber–Bosch process, with substantial CO
2 emissions. In contrast, ‘blue’ ammonia incorporates carbon capture and storage (CCS) into traditional methods, reducing its environmental impact. Yet only ‘green’ ammonia—produced via sustainable energy sources—achieves full sustainability, despite issues remaining with regard to affordability and large-scale adoption [
8].
Figure 1 illustrates the evolution of ammonia production (‘grey’, ‘blue’, ‘green’) in the last two decades based on estimations from International Energy Agency (IEA), International Renewable Energy Agency (IRENA), and industry white papers (e.g., US Geological Survey) [
5,
7,
9], where it is apparent that although carbon-based production of ammonia still remains the main generation method, less intensive CO
2 emission methods have been introduced in the later years.
Studies reveal that green ammonia is cost-competitive in areas with abundant renewable energy. For example, a study optimising Saudi Arabia’s solar and wind resources shows cost-competitive green ammonia and hydrogen production, positioning the region as a key future exporter of green fuels [
10]. This trend is also supported by the advancements in electrolysis technology and the declining costs of renewable energy infrastructure, both of which bolster the business case for green ammonia generation [
11]. Furthermore, as production globally scales up, economies of scale will enhance the green ammonia market, reduce costs and narrow the price gap between carbon-based ammonia and green ammonia [
11]. Ammonia, as a fuel in the maritime sector, has greater energy density than hydrogen and easier liquefaction at manageable pressures; ammonia also provides more practical handling, presenting significant advances compared to hydrogen transport and storage [
10].
Several barriers still need to be overcome when moving forward with green ammonia. Scaling up electrolysers, building ammonia plants, and creating trade systems for renewable energy-based ammonia involves several obstacles—technical, economic, and regulatory. Governmental assistance is crucial in addressing these challenges since it demands state funding coupled with smart regulations that stimulate private investment and promote innovation in the field [
10].
Ishaq and Crawford conducted a detailed analysis of green ammonia production methods, emphasising the critical role of renewable energy integration in achieving full decarbonisation across the ammonia value chain—from production and storage, to different end-use applications. The investigation assessed green ammonia’s various applications—as an energy storage medium, zero-carbon fuel, and active component in carbon capture, utilisation and storage systems [
12]. Complementing this, Ishaq and Dincer proposed an alternative option, a solar-based system that co-produces power and ammonia as a fuel. Their study stressed the growing viability of ammonia-focused energy units in future energy systems [
13]. Fasihi et al. studied the global market potential with hybrid renewable energy plants showing that green ammonia could undercut coal-based production costs and its associated GHG emissions [
10].
Akhtar and Liu conducted an economic assessment of importing green ammonia from Australia to South Korea to meet the country’s hydrogen demand. Their findings suggested that this scenario could become financially feasible by 2023 [
11]. Allman and Daoutidis developed a model to determine the optimal size of a wind-based ammonia unit. In their study, they highlighted how deciding on the plant location and plant sizing could reduce costs, optimising the ammonia generation and, ultimately, overall profitability [
14]. Similarly, another study which focused on a hybrid solar-wind setup proved that the ammonia production cost can be reduced to lower than 440 €/t
NH3 and end up being rather competitive compared to fossil fuels [
15]. Cameli et al. moving forward with stochastic optimisation—based on solar and wind resources—calculated how to lower the cost of hydrogen and ammonia [
16].
Optimisation models for green hydrogen and ammonia generation and export, such as those announced by Saudi Arabia and other countries in the Middle East, assess the economic competitiveness and technical feasibility of green ammonia as a sustainable fuel alternative for decarbonisation [
10]. Campion et al. developed an analogous financial model to investigate how varying solar and wind resources influence the green ammonia generation costs. Their framework enables a systematic evaluation of different renewable energy integration approaches for ammonia synthesis [
17].
Turning to the financial literature, a recent analysis examined eight potential system designs for synthesising ammonia using wind energy from a 12 GW offshore wind farm in the North Sea. The research proved that a completely offshore production system incorporating solid oxide electrolysis (SOEC)—electricity to produce hydrogen—managed to achieve optimal energy efficiency and minimum capital expenditure (CAPEX). However, the LCOA for all renewable-based scenarios remained elevated compared to traditional fossil-fuelled ammonia production. The study concluded that achieving cost parity would require substantial regulatory support, either through green certificate schemes or carbon pricing mechanisms to become a viable option in the range of €129–336 per metric ton of CO
2 emissions [
18]. The study by Singlitico et al., which focused on location optimisation and setup, concluded that integrating electrolysis offshore can reduce green hydrogen costs to 2.4 €/kg
H2, which is a rather competitive price if it is compared to fossil fuel-based hydrogen [
19]. Durakovic et al. focused on transmission costs and offshore production proving that offshore can become more viable when including hydrogen, since a hydrogen hub in the long term can reduce the costs of building more transmission lines [
20]. Therefore, by converting wind energy into green ammonia, renewable energy can become more cost efficient and can be stored and transported, enabling cross-sector decarbonization in sectors beyond just energy.
This paper aims to investigate green ammonia as an essential part of a sustainable energy system that can be produced by offshore wind energy. Although coupling offshore energy with green ammonia production seems very promising towards decarbonisation, there is limited research on the viability of such projects in regard to energy dispatch, location of the different components, logistics, and PtA system sizing. It needs to be noted that, certainly, high initial costs challenge green ammonia’s viability, but the decrease in renewable energy prices, future carbon taxes, technological advances, and the option for various revenue streams support it. As global energy systems evolve, green ammonia offers a way to combine economic growth with environmental sustainability. Therefore, the present work aims to answer the following three research questions (RQs):
Under what electricity price conditions is it economically optimal to divert wind-generated electricity from grid export to PtA production, when PtA can be configured as offshore, hybrid offshore–onshore, or offshore with pipeline export?
How does the incremental economic value of adding PtA to an existing wind farm (relative to selling all electricity to the electricity market) differ across alternative PtA supply-chain configurations?
How do the optimal PtA capacities and operational flexibility options (e.g., electrolyser/synthesis sizing and storage) interact with transport infrastructure choices to affect utilisation, and the project’s incremental financial performance?
This paper is structured into three main sections: the methodology used to develop the scenario of implementing a PtA system into an operational offshore wind farm, the data analysis conducted to derive the results, and the discussion of findings to evaluate whether the research questions were answered and how the study contributes to existing knowledge.
2. Materials and Methods
To ensure that the outcome of this study will provide adequate data for answering the respective RQs, three SCs have been considered (
Figure 2):
SC1: The first SC included an entirely offshore ammonia production supply chain. In this case, hydrogen and ammonia production is located on-site at the offshore wind site. It stresses the benefits of reducing energy waste during transportation and optimal organisation of production schemes.
SC2: This case is similar to SC1 but focused on the transport logistics and costs that come with NH3 transport through pipelines.
SC3: The third SC comprised a hybrid offshore–onshore model. An SC where electricity is produced offshore, while hydrogen and ammonia are produced onshore.
Wind Farm: The proposed wind asset is assumed to be an operational offshore wind farm located in the Danish North Sea, 20 km off the coast of Esbjerg’s port. The wind farm is represented as 20 identical Vestas V164-8.3 MW turbines (Vestas Wind Systems A/S, Aarhus, Denmark), corresponding to a nominal installed capacity of 166 MW, with a hub height of approximately 100 m. The hourly electrical energy output of the wind farm is computed from reanalysis wind data and a turbine-specific power curve, producing an hourly generation time series that is subsequently coupled with hourly electricity market prices and scenario-specific PtA conversion and transport representations. The available wind energy can either be sold to the grid at the spot price or diverted to a PtA facility to produce ammonia for sale.
Hourly reanalysis fields were obtained from the Copernicus Climate Change Service ERA5 “hourly data on single levels” dataset [
21]. The variables used were the 100 m eastward wind component
u(t) and 100 m northward wind component
v(t) (in m/s). The assumed wind-farm centroid is located approximately 20 km offshore from Esbjerg, Denmark; for data extraction the centroid was represented by WGS84 coordinates (lat, lon) = (55.48° N, 8.13° E), and the nearest ERA5 grid point (0.25° × 0.25°) was selected.
The hourly wind speed (
VWF) is calculated by Equation (1) [
21].
To calculate the hourly production of the wind farm, wind speed is mapped to single-turbine electrical power using the turbine-specific power curve for the Vestas V164 platform [
22]. The power curve is represented as a discrete set of points between the wind speed and
Pi in MW representing the corresponding turbine output. For each hour, single-turbine power output (
Pturb) in MW is obtained via piecewise-linear interpolation between the two curve points that bracket the observed wind speed [
23]:
with output set to zero outside the operating range (below cut-in and above cut-out speeds) and held constant in the rated region according to the curve plateau. Total wind farm power (
PWF) in MW is computed by scaling single-turbine power by the number of turbines (
NT):
The energy production of the wind farm (
EWF) in MWh, is given by Equation (4).
with Δ
t = 1 h
The produced energy supplied to the grid (
EGR) in MWh is given by Equation (5), where
is the efficiency of the transmission (corresponds to the cable and transformer losses ≈ 3%) [
18].
Floating Platforms: The floating platforms consist of critical structures that are used for placing the offshore key components including the balance of plant (BoP) components of the wind farm (e.g., offshore transformers), the hydrogen, and the ammonia production facilities with each respective auxiliary equipment (e.g., storage, compressors, air separation unit—ASU).
The proposed SC topologies included the main technical equipment required for the PtA processes. The topologies development was based on several assumptions consisting of the rated power of the electrolysis plant, and consequently the sizing of the hydrogen—ammonia production outputs.
Hydrogen Production Plant: It includes a 100 MW proton exchange membrane (PEM) water electrolysis generator with its BoP components (e.g., desalination of seawater for SCs 1, 2, H
2 compressor and storage). Hydrogen generation (
mH2) in t
H2 is calculated based on the energy input of the electrolyser (
EEL), the efficiency of the plant (
) and the low heating value (LHV) of hydrogen (see Equations (6)–(8).
ER in MWh is the electricity demand for the production of N
2 and the Haber–Bosch synthesis process that equals to approximately 5% of the entire electricity used for ammonia production [
5,
24]. However, in the case of SC3, the energy supplied to the PtA facility is given by Equation (7).
Cryogenic Air Separation Unit and Ammonia Production Plant: The ASU is a key component of the ammonia supply chain as it supplies the N
2 reacting with H
2 to produce NH
3 through the Haber–Bosch process. Based on the Haber–Bosch reaction, 1 mole of N
2 reacts with 3 moles of H
2 to produce 2 moles of NH
3 [
25,
26].
Therefore, by considering the molar masses of the reactants and the product (i.e., M
H2, M
NH3), and conversion efficiencies comprising losses in the synthesis loop (equilibrium limitation, purge, incomplete reaction) and incomplete ammonia recovery in the condenser/separator (i.e.,
ηHB,
ηsep respectively), the mass of ammonia was calculated as:
with
ηHB = 0.97 [
27] and
ηsep = 0.99 [
28].
Subsea Infrastructure: It consists of the NH3 pipeline installation of SC2. The length of the pipeline installation has been assumed to be approximately 20 km offshore, similar to the wind farm location, with a pipeline diameter of 25 cm.
Transportation and Logistics: The transportation and logistics account for transporting ammonia in SC1 to shore via an ammonia vessel.
For SC1, ammonia produced offshore is buffered in an intermediate storage tank and transported to shore by a dedicated ammonia carrier (vessel). For SC2, ammonia is exported continuously through a subsea pipeline. For SC3, ammonia is produced onshore and therefore offshore ammonia transport is not required.
To ensure hourly feasibility, the model tracks ammonia inventory and limits exports by scenario-specific transport capacities (pipeline capacity or vessel loading events), so that revenue is based on delivered ammonia rather than unconstrained production.
The three SCs were investigated for an existing wind farm where for each Δt the PtA operating point is selected by comparing the incremental operating margin of grid export and ammonia production (Equations (16) and (17) and margin definitions below), subject to plant capacity, operational flexibility constraints (Equations (18)–(21)), and scenario-specific logistics and storage feasibility constraints (Equations (10)–(15)).
Logistics feasibility and inventory balance: For SC1, ammonia produced offshore is buffered in storage before delivery to shore. For SC2, it is assumed that the pipeline consists of the buffer storage, and no additional onshore storage is required.
Let
S(t) in t
NH3 denote the ammonia inventory at the end of hour
t,
mNH3,prod(t) in t
NH3 the ammonia produced in hour
t (Equation (9) after operational feasibility constraints), and
mNH3,del(t) in t
NH3 the ammonia delivered to the market in hour
t. The inventory evolution is calculated by:
with
Smax being the maximum ammonia storage capacity in t
NH3.
For SC2, the delivery limit is
mtrans,max =
ṁpipe,max · Δ
t, where
ṁpipe,max is the maximum pipeline transport rate (t
NH3/h). For SC1, deliveries occur as discrete loading events:
where
mvessel is the vessel cargo capacity (t
NH3 per voyage),
yv(t) ∈ {0,1} indicates a vessel departure/loading in hour
t, and
τv (h) is the minimum turnaround time capturing sailing and port operations. For SC3, the same balance applies but with production and delivery co-located; hence,
mNH3,del(t) =
mNH3,prod(t).
If the storage upper bound would be violated (S(t) > Smax), PtA operation is curtailed, so that Equation (10) is satisfied; similarly, delivery cannot exceed the available inventory (Equation (14)). This ensures the operating schedule and associated revenue stream are feasible under the assumed logistics limits.
The hourly revenues of selling electricity in the day-ahead market (
TGr) is calculated by Equation (16), while the revenues from ammonia sale (
TNH3) are provided by Equation (17).
where
TGr represents the revenues from selling electricity to the grid in €,
TNH3 represents the revenues from ammonia sales in €, λ
Gr is the spot market price in €/MWh, and λ
NH3 is the ammonia selling price in €/t
NH3.
Hourly day-ahead prices were retrieved from Energinet’s Energi Data Service, dataset “Elspotprices” [
29]. Records were filtered to the DK1 bidding zone (PriceArea = DK1) and the SpotPriceEUR field (€/MWh) was used as the hourly electricity price series
λGr(t). The timestamp HourUTC was used for time alignment.
ERA5 timestamps (i.e., wind speed data) are provided in UTC and the Elspotprices dataset provides both HourUTC and local-time HourDK fields; all analyses in this study used HourUTC to avoid daylight-saving ambiguities. The two datasets were merged on HourUTC. Any duplicate timestamps were removed; if missing timestamps occurred in either series, the corresponding hours were excluded from the paired wind–price dataset to maintain consistent hourly alignment.
To avoid overestimating PtA operation, the dispatch decision is formulated on an incremental profit basis rather than a revenue-only comparison. The hourly operating margin of electricity export is defined as:
and the hourly operating margin of ammonia production as:
CGr,var(t) denotes any variable export-related costs (assumed negligible beyond the electrical losses already captured by ηGr), while CNH3,var(t) refers to variable costs that scale with operation, such as variable O&M/consumables and scenario-specific marginal logistics (e.g., pumping/compression for SC2 or vessel operation for SC1), expressed per hour (or equivalently per tonne of NH3 produced). Because the decision compares MNH3(t) with MGr(t) for the same available wind energy, the opportunity cost of electricity consumed by PtA is endogenously accounted for in the switching criterion.
Operational Dispatch with Flexibility Constraints: The baseline dispatch compares the hourly value of electricity export (
MGr, based on Equation (16)) and ammonia production (
MNH3, based on Equation (17)). However, PtA is not assumed to be fully flexible on an hourly basis: the down-stream air-separation and Haber–Bosch synthesis topology is typically constrained by minimum stable load and ramping limits to avoid thermal/catalyst stress and loss of stability. Therefore, hourly dispatch is computed using the margin-based rule but is enforced to be feasible through reduced-order flexibility constraints [
30,
31,
32,
33].
Let
PPtA(t) be the aggregate electrical power allocated to PtA in hour
t (including electrolysis, nitrogen separation and synthesis auxiliaries),
PPtA,max the installed PtA electrical capacity, and
u(t) ∈ {0,1} the PtA on/off state. The feasible operating region is represented as:
where
fmin is a dimensionless fraction of rated PtA load that must be maintained whenever the plant is online. Therefore Equation (19) poses a constraint for a minimum stable load that indicates a PtA operation below the
f stated fraction and hence its operation cannot follow high-frequency price signals by deep part-load operation. Ramp-up and ramp-down limits (
rup,
rdown respectively) show the maximum increase and decrease in PtA load allowed from one hour to the next, expressed as a fraction of the rated load (Equations (20) and (21)). These parameters prevent unrealistic hour-to-hour switching and represent the limited turndown and dynamic response of the ammonia synthesis process compared with the electrolyser, while retaining a tractable rule-based dispatch model at hourly resolution.
The operating strategy is implemented as a net-margin-based dispatch rule subject to explicit feasibility constraints. The hourly margin comparison identifies whether ammonia production or grid export is economically preferred in hour t; however, actual operation is restricted by the PtA dynamic constraints, including the minimum stable operating level and ramp-up/ramp-down limits (Equations (18)–(21)), as well as the storage and logistics feasibility constraints (Equations (10)–(15)).
Flexibility parameterization: In the base-case (‘existing industrial synthesis process’),
fmin is set to 0.60, consistent with the turndown understood to be achievable with existing ammonia reactor technology [
30], and ramp limits are set to
rup = 0.05 h
−1 and
rdown = 0.20 h
−1, consistent with flexibility constraints used in recent green-ammonia scheduling studies [
31]. A ‘flex-ready’ sensitivity set is also tested (
fmin = 0.20;
rup =
rdown = 0.20 h
−1) to represent modified designs that sustain deeper turndown; dynamic simulations of modified Haber–Bosch configurations report stable operation down to approximately 10% load with minute-scale ramping [
33]. Cryogenic ASU designs can also reach at least 40% load with rapid ramping under appropriate control, so the synthesis loop typically remains the limiting unit [
32].
Accordingly, the hourly operating rule is updated as follows: PtA operates in hour t if MNH3(t) > MGr(t) and a feasible setpoint PPtA(t) exists under Equations (18)–(21), and the implied ammonia inventory and delivery remain feasible under Equations (10)–(15). In practice, the unconstrained dispatch signal selects PtA (on/off) and a desired PtA load; the final PPtA(t) is then obtained by applying the minimum-load and ramp constraints and, if needed, curtailing PtA to prevent storage overflow. If wind availability is insufficient to satisfy the minimum-load constraint, PtA remains off and wind energy is exported to the grid (or curtailed in negative-price hours, when grid export is not allowed).
The hourly dispatch rule is based on a direct comparison between the net operating margin of diverting wind power to the PtA chain and the net operating margin of exporting electricity to the grid. Under the modelling assumptions adopted in this work—namely that (i) wind availability and market prices are exogenous inputs, (ii) the conversion of electricity to ammonia is represented through constant yield factors (linear mapping), and (iii) there is no explicit long-term arbitrage objective associated with intermediate inventories beyond feasibility—the optimal operational decision at each hour reduces to selecting the option with the higher net margin. Therefore, the switching condition (MNH3(t) > MGr(t)) corresponds to the per-hour profit-maximising solution of the relaxed (uncoupled) dispatch problem. However, in practice the operation is temporally coupled due to minimum stable load, ramp-up/ramp-down limits, and logistics feasibility (inventory balance and delivery constraints). For this reason, the final dispatch is not implemented as a purely ‘on/off’ decision. Instead, the margin-based switching signal is used as an operational target and is subsequently adjusted to remain feasible under the dynamic constraints of Equations (10)–(15) and Equations (18)–(21). In other words, the algorithm follows the margin-based preference whenever feasible, and curtails or modifies the PtA load when required by ramping, minimum-load limits, and storage/transport feasibility.
Project Development: Across studies, project development costs typically account for 10–18% of the total project’s CAPEX in offshore ammonia projects. These values include, among others, front-end engineering and design, permitting and offshore deployment, regulatory compliance, and construction management [
18,
34].
The components used in the investigated SCs with the respective rated power and cost parameters are described in
Table 1.
Cost inputs were taken as reported in the cited sources and expressed in euros. Where a currency year was not explicitly stated, the publication year of the source was assumed. Values were interpreted on a real (constant euro) basis and were not escalated to a common currency year. No endogenous learning effects were modelled.
Technoeconomic analysis (TEA) is a critical research tool for evaluating ‘green’ ammonia production, as it systematically assesses both economic and technical performance across various production methods. By calculating metrics like LCOA, TEA offers a comprehensive way to compare the cost efficiency of various technologies and energy sources.
This study adopts a positivistic, deductive approach, relying on secondary data from credible sources such as academic journals, industry reports, and government publications. The main TEA data—including investment costs, operational expenses, energy outputs, and market prices—are analysed to compute financial indicators like LCOA, NPV, and internal rate of return (IRR).
The aforementioned multiple production scenarios were used to identify the most cost-effective pathways for ‘green’ ammonia. Each case addressed CAPEX and operational expenditure (OPEX), covering costs for facility setup, maintenance, and ammonia synthesis technologies. Financial modelling within TEA calculated the NPV, and IRR along with the breakeven price of NH3 to get positive NPV and IRR (in case of negative results) and LCOA through sensitivity analysis, helping investors identify potential returns and risks for each production scenario.
The calculation of the financial parameters to assess the above-mentioned economic tools was based on the following equations (Equations (22)–(25)) for the capital cost (
ICo) in M€, the NPV, and the LCOA [
18,
37].
with
where
ICPL is the floating platforms cost in M€,
ICEL represents the hydrogen production plant cost in M€,
ICAmSy is the capital cost of the ammonia synthesis plant in M€,
ICAirS is the cost of the cryogenic air separation unit in M€,
ICS.Infr is the subsea infrastructure cost in M€,
ICLog represents the transportation via pipeline, (pipeline CAPEX and respective BOP) or logistics cost (CAPEX of the vessel) depending on the SC in M€.
ICst is the ammonia storage tank in M€, while
ICdevelop consists of the development costs (i.e., development of the project) in M€.
represents the annual mass of ammonia in t
NH3/y.
mvessel is the ammonia’s mass capacity of the vessel for SC1 in t
NH3, and
Lpipe represents the pipeline’s length in km for SC2.
The NPV was calculated using a standard annual equity cashflow (FCFE) formulation. Hourly dispatch outputs are aggregated to annual incremental operating value Ty (M€), where Ty represents the incremental annual revenues from ammonia sales and electricity export minus the baseline annual revenues obtained by exporting all available wind electricity to the day-ahead market without PtA. All monetary values are expressed in constant (real) euros; therefore, discount rates are interpreted as real rates.
The project is taken to be financed with equity fraction
fe and debt fraction
fd (
Table 2), such that the year-0 equity outlay is
Eo =
fe ·
ICo and the initial loan principal is
Do =
fd ·
ICo. The equity NPV is computed as:
with
Annual free cashflows to equity:
Interest, Principal, remaining balance:
Earnings before interest and taxes:
Depreciation and book value:
To maintain consistency with the weighted average cost of capital (WACC)
r reported in
Table 2,
re is derived as:
The IRR is the value of re that sets NPV = 0 for the series {-Eo, FCFE1-,…, FCFEN}.
Table 2 summarises the financial parameters used to compute the equity NPV of each scenario. The total initial investment at year 0 is
ICo (Equation (22)), which represents the complete upfront CAPEX of the offshore wind-to-ammonia system, including the electrolyser, ammonia synthesis and air separation units, infrastructure, storage, and logistics (pipeline or vessel depending on the scenario). The project lifetime is
N years.
The techno-operational model provided, for each year y, an annual incremental operating value Ty (in M€). Ty is obtained by aggregating the hourly dispatch results over the year (electricity export and delivered ammonia) and subtracting the annual revenues of the electricity-only baseline (i.e., exporting all available wind electricity to the day-ahead market without PtA). In this way, Ty represents the annual value created by the PtA pathway relative to the baseline.
Annual cash operating expenditure
OPEXy is computed using the parameters in
Table 2.
PO is the annual personnel/labour cost (in M€/y).
OMcs is the fixed annual O&M of system components (in M€/y).
OMv is the annual vessel O&M cost (in M€/y) and is included only for the vessel-based logistics case (SC1).
In is annual insurance (in M€/y) and
Rn is annual land lease/rent (in M€/y). Degradation is represented in a reduced-order manner through scheduled stack replacement outlays
OMst,y (in M€), treated as discrete one-off costs in the specified replacement years (e.g., years 11 and 21). This approach captures the main financial impact of component ageing over the project lifetime, but it does not explicitly model short-term degradation as a function of hourly cycling or ramping intensity. Therefore, the dispatch results should be interpreted as valid under the assumption that cycling-related wear is reflected in the replacement schedule rather than being penalised directly on an hour-to-hour basis.
Depreciation is modelled using a declining-balance rate δ applied to the asset book value BV. BVo is set equal to ICo at year 0. The annual depreciation amount Depy is a non-cash accounting cost that affects taxable income but is added back when computing cashflows. Corporate income tax is represented by the tax coefficient Φ and applied only to positive earnings before tax, using max(0,·) to avoid negative taxes.
The capital structure is defined by the equity fraction fe and debt fraction fd, with fe + fd = 1. Debt carries an annual interest rate i and is repaid over the loan tenor nL (in y). The loan tenor is the length of time over which the debt is amortised; for example, with nL = 20 years, interest and principal repayments occur only in years y ≤ 20 and are set to zero for y > 20 because the loan is fully repaid. The constant annual debt payment A is computed from i and nL and is split each year into an interest component Inty and a principal component Priny.
Discounting uses two related rates. The WACC r is the project-level discount rate associated with the assumed capital structure and is used for levelised cost metrics (e.g., LCOA). Equity cashflows are discounted with the equity discount rate re. This ensures the NPV calculation is internally consistent with the chosen debt/equity split, interest rate, and corporate tax rate.
To calculate equity NPV, the following steps were applied for each year y = 1, …, N. First, annual cash OPEX was computed. Second, depreciation (Depy) was computed and the book value (BVy) was updated using the declining-balance rule with rate δ and initial BVo. Third, earnings before interest and tax were calculated followed by the annual debt service. Using the constant annual payment A, interest (Inty) and principal (Priny) were computed and the outstanding debt balance was updated for y ≤ nL. Subsequently, earnings before tax and corporate tax were calculated. By taking all the above into consideration, the free cashflow to equity was computed. This formulation subtracted taxes on earnings after interest, added back depreciation because it is non-cash, and subtracted principal repayment because it is a cash outflow to debt holders. The NPV was computed by discounting the FCFE series at re and subtracting the initial equity outlay. The internal rate of return (IRR) was obtained as the value of re that set NPV equal to zero for the cashflow series.
Hourly dispatch decisions are computed using the operating rule defined above: PtA operates in hour t if MNH3(t) > MGr(t), a feasible PPtA(t) setpoint exists under the minimum-load and ramping constraints (Equations (18)–(21)), and the resulting ammonia production and delivery are feasible under the inventory and logistics constraints (Equations (10)–(15)); otherwise, electricity is exported to the grid (or curtailed in negative-price hours, when grid export is not allowed). Hourly cashflows are aggregated to annual incremental revenues Ty, where Ty represents the incremental annual revenues from ammonia sales and electricity export minus the baseline annual revenues obtained by exporting all available wind electricity to the day-ahead market without PtA (see financial model and NPV formulation).
Hourly wind generation and spot prices are available for the years 2020–2025. Initially, a base-case trajectory that represents a deterministic cumulative NPV pathway obtained under the reference techno-economic assumptions and without stochastic resampling has been studied. Because only a limited number of historical years are available, the observed annual incremental revenue and ammonia production series is repeated to span the full 30-year project lifetime. To avoid using this limited window as a deterministic forecast for a 30-year project lifetime, a block-bootstrap Monte Carlo procedure is applied [
48]. The initial base-case economic analysis served as a benchmark against which the Monte Carlo results quantified inter-annual variability and uncertainty. For each Monte Carlo realisation, complete historical years are sampled with replacement from the set 2020–2025 and concatenated until a synthetic 30-year hourly trajectory is formed. Wind generation and electricity prices are sampled as paired years (i.e., wind and price from the same sampled calendar year are kept together), preserving seasonality and the empirical wind–price dependence embedded in the data. For each realisation, the dispatch is recomputed hour-by-hour using the same operating rule, and annual equity cashflows are then evaluated over the 30-year lifetime using the financial model parameters in
Table 2. Because intact calendar years are resampled, the method retains the intra-year seasonal structure and the observed within-year wind–price co-variability. However, it implicitly assumes that the available years are representative draws from a stationary joint wind–price process; therefore, it does not capture structural market shifts or long-term trends beyond the historical window.
Financial outputs are reported as distributions rather than single-point estimates, using percentile statistics (e.g., P10/P50/P90) for NPV, IRR, and LCOA. Additionally, cumulative NPV charts are constructed by computing cumulative discounted cashflows per year across the Monte Carlo ensemble and reporting the median trajectory together with percentile bands.
The dispatch rule is unchanged under the uncertainty analysis; the Monte Carlo procedure only changes the sequence of historical wind–price years used to construct long-term hourly inputs, after which the same hourly decision rule is applied. The number of Monte Carlo realisations was selected to ensure convergence of percentile estimates (NPV P10/P50/P90), verified by monitoring changes in percentile values with increasing sample size.
To address the research question on sizing and flexibility, the financial evaluation is repeated across a parametric set of PtA capacities and ammonia-price flexibility options through a sensitivity analysis. For each configuration, the hourly switching/dispatch logic produced annual ammonia output, and electricity export, which are translated into NPV, IRR, and LCOA. In cases where the project is non-profitable under a given ammonia price assumption, the breakeven ammonia price is computed by solving for the constant ammonia selling price that yields NPV ≈ 0, with dispatch updated endogenously at each trial ammonia price, producing a breakeven price distribution across Monte Carlo realisations.
Comparing the resulting distributions (e.g., P10/P50/P90 of NPV/IRR/LCOA) across scenarios and configurations provided the basis for identifying economically preferred supply-chain designs and quantifying how plant sizing and operational flexibility affected utilisation and incremental financial performance.
Concisely, the workflow could be summarised as follows:
- i.
ERA5 u100 and v100 were downloaded at the specified coordinates for 2020–2025 and VWS(t) was computed (Equation (1)).
- ii.
VWS (t) was mapped to single-turbine power using the Vestas V164-8.3 MW power curve via piecewise-linear interpolation (Equation (2)), and wind-farm power and energy were computed (Equations (3) and (4)).
- iii.
El-spotprices for DK1 for 2020–2025 were downloaded and merged with wind-farm output on HourUTC.
- iv.
For each scenario and hour, the grid-export value and ammonia net margin were computed (Equations (16) and (17) and margin definitions), operational feasibility constraints were applied (Equations (18)–(21)), storage/inventory and logistics feasibility were updated (Equations (10)–(15)), and delivered ammonia mNH3,del(t) and exported electricity were recorded.
- v.
Hourly results were aggregated to annual incremental operating value Ty and annual delivered ammonia.
- vi.
Annual equity cashflows and financial metrics (NPV/IRR/LCOA) were computed using Equations (22)–(25) and
Table 2.
- vii.
For uncertainty analysis, synthetic 30-year sequences were generated via block-bootstrap resampling of complete historical years (2020–2025), and steps (i)–(vi) were repeated for each realisation.
Screening-level sustainability indicator (CO2avoidance): While the scope of this work is primarily techno-economic, a simple environmental indicator was included to contextualise sustainability implications. Potential direct CO
2 emissions avoided were estimated by assuming that each tonne of produced green ammonia displaces conventional natural-gas-based ammonia. A benchmark emissions intensity of
EFconv = 1.8 t
CO2 per t
NH3 was adopted for efficient natural-gas plants, consistent with values used in recent European decarbonisation analyses [
49]. Annual avoided emissions were computed as:
This screening metric excludes lifecycle/embodied emissions and does not represent system-wide marginal grid effects from diverting wind electricity; results are therefore indicative and attributional.