Methodological Framework for Tidal Energy Assessment in Low-Energy Tropical Estuaries: An ADCP-Calibrated Hydrodynamic and Techno-Economic Approach
Abstract
1. Introduction
2. Materials and Methods
2.1. Identification of Tidal Energy Conversion Technologies
- Compatible technologies: Devices satisfying all essential criteria for low-velocity, shallow estuarine environments.
- Conditionally compatible technologies: Devices potentially deployable with design or operational adaptations (e.g., ducting, reduced rotor diameter, floating support).
- Excluded technologies: Devices whose operational envelopes (minimum velocity, depth, or spatial requirements) exceeded the conditions of Buenaventura Bay.
2.2. Selection of the Study Area
2.3. Collection of Physical and Oceanographic Data
2.4. Hydrodynamic Modeling
2.5. Estimation of Energy Potential
2.6. Technological Compatibility Analysis
2.7. Design of the Pilot Tidal Farm
2.8. Economic Assessment of the Project
2.9. Sensitivity Analysis
3. Results
3.1. Identification of Tidal Energy Conversion Technologies
3.2. Selection of the Study Area
3.3. Collection of Physical and Oceanographic Data
3.4. Hydrodynamic Modeling
3.5. Estimation of Energy Potential
3.6. Technological Compatibility Analysis
3.7. Design of the Pilot Tidal Farm
3.8. Economic Assessment of the Project
3.9. Sensitivity Analysis
4. Discussion
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| A | Turbine rotor swept (capture) area (m2) |
| AEP | Annual energy production of a turbine or array (Wh, MWh) |
| AEPF | Annual energy production of the tidal farm (Wh, MWh) |
| Ai | Amplitude of the i-th tidal constituent (m) |
| ωi | Angular frequency of tidal constituent i (rad/s) |
| ϕi | Phase of tidal constituent i (rad) |
| Nc | Number of tidal constituents (p.u.) |
| Availability | Fraction of time the system is operational (p.u.) |
| Cf | Bottom friction coefficient (p.u.) |
| Cp | Turbine power coefficient (p.u.) |
| Cmaint | Routine and corrective maintenance cost (USD/year) |
| Coper | Operational, inspection, and retrieval cost (USD/year) |
| Cenv | Environmental monitoring and regulatory compliance cost (USD/year) |
| Cturb | Turbine or device acquisition cost (USD) |
| Cstruct | Support-structure cost (USD) |
| Cmoor | Mooring, foundation, and substructure cost (USD) |
| Celec | Electrical infrastructure and interconnection cost (USD) |
| Cinst | Installation and commissioning cost (USD) |
| CAPEX | Capital expenditure (USD) |
| D | Turbine rotor diameter (m) |
| Δt | Temporal resolution of model output (s) |
| ΔV | Velocity perturbation applied to V for sensitivity analysis (m/s) |
| ET | Technical energy produced over horizon T (J, Wh) |
| T | Time horizon for energy integration (s) |
| g | Gravitational acceleration (m/s2) |
| h | Still-water (bathymetric) depth (m) |
| h(x,y) | Local water depth (m) |
| hmin | Minimum depth required for installation and operation (m) |
| H | Total water depth, defined as H = h + η (m) |
| η | Free surface elevation (m) |
| ρ | Seawater density (kg/m3) |
| kx | Streamwise turbine spacing coefficient (p.u.) |
| ky | Lateral turbine spacing coefficient (p.u.) |
| Lx, Ly | Streamwise and lateral turbine spacing distances (m) |
| LCoE | Levelized Cost of Energy (USD/MWh) |
| ΔLCoE | Variation in LCoE relative to baseline (USD/MWh) |
| NPV | Net Present Value (USD) |
| Nt | Total number of time steps (p.u.) |
| t | Time (s) |
| tk | Discrete hydrodynamic time step k (s) |
| OPEXann | Annual operational expenditure (USD/year) |
| Pd(t) | Instantaneous theoretical power density (W/m2) |
| Mean theoretical power density (W/m2) | |
| PT(t) | Instantaneous turbine power output (W) |
| PT(tk; V+ΔV) | Turbine power at time step tk with perturbed velocity (W) |
| P(T,j)(t) | Instantaneous power output of turbine j at time t (W) |
| PF(t) | Instantaneous farm power output (W) |
| r | Discount rate (p.u.) |
| n | Project lifetime (years) |
| IRR | Internal Rate of Return (p.u.) |
| Rt | Annual revenue in year t (USD) |
| Psell | Electricity selling price or avoided cost (USD/MWh) |
| U, V | Depth-averaged velocity components (m/s) |
| V(t) | Depth-averaged current velocity magnitude (m/s) |
| Mean depth-averaged current velocity (m/s) | |
| Vb | Representative velocity of bin b (m/s) |
| nb | Number of samples in velocity bin b (p.u.) |
| f(Vb) | Relative frequency of velocity bin b (p.u.) |
| Pb | Expected power associated with velocity bin b (W) |
| Vcut-in | Turbine cut-in velocity (m/s) |
| Vrated | Turbine rated velocity (m/s) |
| X | Parameter under evaluation in sensitivity analysis |
| ΔX | Variation in parameter X relative to baseline |
| Elasticity | (ΔLCoE/LCoE)/(ΔX/X) (p.u.) |
| αj | Wake-interaction coefficient applied to turbine j (p.u.) |
| NT | Number of turbines (p.u.) |
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| Criteria Category | Criterion | Operational Rationale in Buenaventura Bay |
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| Category | Criterion | Purpose |
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| Logistical |
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| Parameter | Description |
|---|---|
| Data source | DIMAR/CECOLDO current dataset |
| Measurement location | Boya 29, access channel of Buenaventura Bay |
| Coordinates | 3.837° N, −77.146° W |
| Deployment period | 19 April 2021–1 May 2021 |
| Instrument | ADCP-AWAC |
| Instrument setup | Bottom-mounted sensors oriented upward toward the water surface and aligned to the north |
| Measured variables | Current velocity and current direction |
| Sampling interval | 5 min |
| Vertical measurement levels | 1.5–20.5 m |
| Vertical resolution | 1 m between reported measurement levels |
| First valid measurement level /blanking distance | 1.5 m |
| Maximum reported depth | Approximately 20 m |
| Quality-control standard | DIMAR/CECOLDO metadata structure and IODE quality-flag scheme |
| Quality flags considered | 2: unknown quality; 9: missing data |
| Data-rejection criteria | Missing records, incomplete records, physically inconsistent values, isolated spikes, and records not suitable for model comparison |
| Processed output | Current-velocity series used for hydrodynamic model validation at Boya 29 |
| Parameter | Objective | Equation | |
|---|---|---|---|
| Instantaneous power density fields (W/m2) | Quantify the instantaneous kinetic power flux per unit area associated with tidal currents. | (8) | |
| Velocity probability distribution (p.u.) | Characterize velocity occurrence patterns and operational windows using binned statistics. | (9) | |
| Instantaneous turbine power time series (W) | Estimate extractable power based on turbine capture area and hydrodynamic performance. | (10) | |
| Power time series with cut-in limitation | Enforce the minimum operating speed below which energy production is null. | (11) | |
| Integrate turbine power over the simulated period. | (12) | ||
| Mean depth-averaged velocity (m/s) | Compute representative site-level current velocity. | (13) | |
| Mean power density (W/m2) | Derive a site-ranking indicator based on average resource intensity. | (14) | |
| Annual Energy Production (MWh/year) | Estimate annual energy output by discrete temporal integration. | (15) | |
| Normalized Score | Interpretation | Meaning for Compatibility Assessment |
|---|---|---|
| 1.00 | High compatibility | The technology envelope matches local conditions without any relevant adaptation. |
| 0.75 | Moderate-to-high compatibility | The technology is suitable for minor design or operational adaptation. |
| 0.50 | Conditional compatibility | Deployment is possible but requires relevant adaptation or operational restrictions. |
| 0.25 | Low compatibility | A major mismatch exists between the technology envelope and site conditions. |
| 0.00 | Not compatible | The technology cannot operate under the evaluated site conditions. |
| Criterion | Main Source of Score | Variables Considered |
|---|---|---|
| Hydrodynamic suitability | Delft3D-FM (Delft3D-FM, version 2025.1) outputs and velocity exceedance analysis [9,53] | Velocity bins, exceedance above cut-in, APD, flow directionality |
| Bathymetric feasibility | Bathymetric maps and site envelopes [29,32] | Depth, clearance, rotor diameter, submergence, navigation constraints |
| Structural compatibility | Technology dimensions, support configuration, and site depth envelope [50,54] | Rotor diameter, support structure, mooring or anchoring requirements, minimum installation depth |
| Environmental robustness | Literature and site conditions [51,54] | Turbidity, sediment transport, debris, and fauna interaction |
| Operational practicality | Literature, manufacturer data, and engineering judgment [55,56] | Installation, access, maintenance, retrieval, and technological maturity |
| Expected yield consistency | Power curve and probability-weighted velocity bins [12,57] | Cut-in speed, rated speed, , APD, AEP contribution |
| Indicator | Mathematical Formulation | Description | |
|---|---|---|---|
| Capital expenditure | (22) | Total upfront investment cost | |
| Annual OPEX | (23) | Recurring annual operational cost | |
| Levelized Cost of Energy | (24) | Discounted cost per unit of energy produced | |
| Net Present Value | (25) | Net discounted economic balance | |
| Annual revenue | (26) | Yearly income from electricity production | |
| Internal Rate of Return | (27) | Discount rate at economic breakeven | |
| TEC Type | Main Operating Principle | Implications for Low-Energy Estuaries |
|---|---|---|
| Horizontal-axis hydro-turbines (HAHTs) | Axial-flow rotor aligned with the current | High technological maturity; typically optimized for higher velocities and deeper sites. |
| Vertical-axis hydro-turbines (VAHTs) | Rotor axis perpendicular to flow | Intrinsic bidirectional operation; limited large-scale deployment. |
| Cross-flow hydro-turbines (CFHTs) | Transverse-flow interaction | Compact configurations; moderate adaptation to bidirectional flows. |
| Oscillating-foil converters | Lift-based oscillatory motion | Conceptual or pilot scale; complex estuarine deployment. |
| Tidal kites | Tethered moving turbine system | Requires a large maneuvering space; unsuitable for narrow channels. |
| Ducted turbines | Rotor within a flow-accelerating duct | Potential performance enhancement at low velocities; increased structural complexity. |
| Parameter | Typical Values in Surveyed Projects | Implications for Buenaventura Bay |
|---|---|---|
| Installed power per turbine | 0.1–1.5 MW | Large unit sizes are unsuitable for pilot-scale estuarine deployment |
| Rotor diameter | 3–20 m | Larger diameters require greater depth and clearance |
| Deployment depth | >15 m, up to >50 m | Exceeds most estuarine bathymetry |
| Operational velocity | >0.8 m/s | Higher than average currents in the bay |
| Site | Hydrodynamic Relevance | Bathymetric Feasibility | Logistical Access | Environmental Compatibility |
|---|---|---|---|---|
| La Bocana | High | Moderate | High | Moderate |
| Boya 29 | Medium | High | High | High |
| Aguadulce | Low–medium | Moderate | High | Moderate |
| Constituent | Amplitude (m) | Phase (°) |
|---|---|---|
| M2 | 1.5185 | −114.9520 |
| S2 | 0.4023 | −60.4288 |
| N2 | 0.3367 | −148.2100 |
| K2 | 0.1142 | −66.9127 |
| K1 | 0.0981 | 55.3441 |
| O1 | 0.0239 | 60.6242 |
| P1 | 0.0322 | 148.7770 |
| Q1 | 0.0071 | 55.5307 |
| M4 | 0.0630 | 0.0000 |
| Tributary | Discharge (m3/s) | Share (%) |
|---|---|---|
| Río Anchicayá | 170 | 47.6 |
| Río Dagua | 67 | 18.8 |
| Estero Gamboa | 30 | 8.4 |
| Estero Aguacate | 10 | 2.8 |
| Estero Aguadulce | 80 | 22.4 |
| Total | 357 | 100 |
| Variable | Value |
|---|---|
| Air temperature (°C) | 26 |
| Water temperature (°C) | 28 |
| Salinity (PSU) | 28 |
| Manning coefficient (s/m1/3) | 0.028 |
| Turbulent viscosity (m2/s) | 1 |
| Metric | Measured | Model-Ready/Compared Series |
|---|---|---|
| Number of samples | 16,038 | 16,038 |
| Mean (m) | 2.460 | 2.331 |
| Standard deviation (m) | 1.228 | 1.295 |
| Minimum (m) | −0.150 | −0.303 |
| Maximum (m) | 5.030 | 4.790 |
| Median (m) | 2.430 | 2.371 |
| MAE (m) | 0.228 | — |
| RMSE (m) | 0.299 | — |
| MBE (m) | −0.129 | — |
| Metric | Measured | Model-Ready/Compared Series |
|---|---|---|
| Number of samples | 16,062 | 16,062 |
| Mean (m/s) | 0.313 | 0.314 |
| Standard deviation (m/s) | 0.148 | 0.156 |
| Minimum (m/s) | 0.061 | 0.060 |
| Median (m/s) | 0.288 | 0.284 |
| Maximum (m/s) | 0.664 | 0.721 |
| MAE (m/s) | 0.0181 | — |
| RMSE (m/s) | 0.0223 | — |
| MBE (m/s) | 0.0011 | — |
| Variable | Location | RMSE | MAE | NSE | R |
|---|---|---|---|---|---|
| Sea level | BUVE2 interior station | 0.30 m | 0.23 m | >0.95 | >0.97 |
| Velocity | Boya 29 | 0.022 m/s | 0.018 m/s | >0.90 | >0.94 |
| Indicator | Value/Range |
|---|---|
| Percentage of time from the 0.30 m/s bin upward | 45–55% |
| Cumulative probability from the 0.50 m/s bin upward | 40.98% |
| Maximum modeled velocity | 0.8–0.9 m/s |
| Velocity amplification in narrow channel sectors | 20–35% |
| Directional deviation from the main axis | ±15° during 80% of the tidal cycle |
| Velocity (m/s) | V3 (m/s)3 | Power (W/m2) | Frequency | Probability (p.u.) | Contribution (W/m2) | |||
|---|---|---|---|---|---|---|---|---|
| Bocana | Boya 29 | Bocana | Boya 29 | Bocana | Boya 29 | |||
| 0.0 | 0.00 | 0.00 | 0 | 7974 | 0.0000000 | 0.151709 | 0 | 0 |
| 0.1 | 0.00 | 0.51 | 6073 | 10152 | 0.1155419 | 0.193147 | 0.0592 | 0.099 |
| 0.2 | 0.01 | 4.10 | 7956 | 11036 | 0.1513670 | 0.209965 | 0.6206 | 0.861 |
| 0.3 | 0.03 | 13.84 | 8579 | 9315 | 0.1632199 | 0.177222 | 2.2586 | 2.452 |
| 0.4 | 0.06 | 32.80 | 8416 | 7508 | 0.1601187 | 0.142843 | 5.2519 | 4.685 |
| 0.5 | 0.13 | 64.06 | 7563 | 4131 | 0.1438900 | 0.078594 | 9.218 | 5.035 |
| 0.6 | 0.22 | 110.70 | 6480 | 1894 | 0.1232853 | 0.036034 | 13.6477 | 3.989 |
| 0.7 | 0.34 | 175.79 | 4201 | 478 | 0.0799262 | 0.009094 | 14.05 | 1.599 |
| 0.8 | 0.51 | 262.40 | 2170 | 73 | 0.0412854 | 0.001388 | 10.8333 | 0.364 |
| 0.9 | 0.73 | 373.61 | 880 | 0 | 0.0167425 | 0.000000 | 6.2552 | 0 |
| 1.0 | 1.00 | 512.50 | 239 | - | 0.0045471 | - | 2.3304 | - |
| 1.1 | 1.33 | 682.14 | 4 | - | 0.0000761 | - | 0.0519 | - |
| APD (W/m2) | 64.58 | 19.09 | ||||||
| Site | Depth Range (m) | Current Speed Range (m/s) | Market-Available Turbine Option | Key Limitation/ Requirement Inferred |
|---|---|---|---|---|
| La Bocana | 18–20 | 0.2–0.5 | HAHT is installable at approximately 1.5 m |
|
| Boya 29 | 9–14 | 0.1–0.4 | — |
|
| Criteria | HAHT (Low-Speed) | HAHT (Conventional) | VAHT | Cross-Flow | Ducted Turbines | Oscillating-Foil /Tidal Kites |
|---|---|---|---|---|---|---|
| Hydrodynamic suitability | 0.75 | 0.20 | 0.45 | 0.50 | 0.65 | 0.30 |
| Bathymetric feasibility | 0.80 | 0.80 | 0.70 | 0.70 | 0.65 | 0.30 |
| Environmental robustness | 0.60 | 0.60 | 0.55 | 0.50 | 0.55 | 0.40 |
| Operational practicality | 0.65 | 0.65 | 0.55 | 0.55 | 0.50 | 0.20 |
| Expected yield consistency | 0.70 | 0.25 | 0.40 | 0.45 | 0.60 | 0.25 |
| Overall compatibility | Partially compatible | Not compatible | Partially compatible | Partially compatible | Partially compatible | Not compatible |
| Parameter | Value |
|---|---|
| Turbine type | Horizontal-axis tidal turbine (low-speed adapted) |
| Rotor diameter (m) | 10 |
| Swept area (m2) | 78.54 |
| Cut-in speed (m/s) | 0.4 |
| Power coefficient, | 0.45 |
| Seawater density (kg/m3) | 1025 |
| Availability factor (%) | 95 |
| Annual energy production per turbine (MWh) | 18.03 |
| Parameter | Value/Range | Design Implication |
|---|---|---|
| Mean current velocity | 0.4–0.5 m/s | Operation governed by persistence near cut-in |
| Velocity exceedance >0.4 m/s | >50% of the tidal cycle | Enables sustained low-speed operation |
| Maximum modeled velocity | 0.8–0.9 m/s, spring tides | Within the variable–power assessment range |
| Water depth | 18–20 m | Compatible with 10 m rotor deployment |
| Flow directionality | Bidirectional, stable axis | Fixed-axis turbines without active yaw |
| Environmental context | High turbidity, sediment transport | Preference for retrievable/floating systems |
| Parameter | Value |
|---|---|
| Number of turbines | 300 |
| Reference annual energy production per turbine | 18.03 MWh/year |
| Array configuration | 10 rows × 30 turbines |
| Longitudinal spacing | 10D |
| Lateral spacing | 2.5D |
| Approximate farm area | 900 m × 725 m |
| Annual energy production | 5420 MWh |
| Cost Category | Share (%) | Farm Cost (USD) |
|---|---|---|
| Device | 31% | 4,759,509 |
| Balance of System (BOS) | 59% | 9,120,661 |
| Financial costs | 11% | 1,694,875 |
| Total CAPEX | 100% | 15,575,045 |
| Operations | 6% | 913,321 |
| Maintenance | 3% | 444,946 |
| Annual OPEX | 9% | 1,358,267 |
| Parameter | Value |
|---|---|
| Local baseline electricity price, (USD/MWh) | 150 |
| LCoE (USD/MWh) | 663 |
| Net Present Value—NPV (USD) | −28,437,604 |
| Revenue in 20 years (USD) | 16,262,958 |
| Total OPEX in 20 years (USD) | −33,002,305 |
| Internal Rate of Return—IRR | Not defined |
| Payback period | Not achieved |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Luna Rivera, W.; Sousa Santos, V.; Balbis Morejón, M.; Quispe, E.C. Methodological Framework for Tidal Energy Assessment in Low-Energy Tropical Estuaries: An ADCP-Calibrated Hydrodynamic and Techno-Economic Approach. Water 2026, 18, 1370. https://doi.org/10.3390/w18111370
Luna Rivera W, Sousa Santos V, Balbis Morejón M, Quispe EC. Methodological Framework for Tidal Energy Assessment in Low-Energy Tropical Estuaries: An ADCP-Calibrated Hydrodynamic and Techno-Economic Approach. Water. 2026; 18(11):1370. https://doi.org/10.3390/w18111370
Chicago/Turabian StyleLuna Rivera, Walter, Vladimir Sousa Santos, Milen Balbis Morejón, and Enrique C. Quispe. 2026. "Methodological Framework for Tidal Energy Assessment in Low-Energy Tropical Estuaries: An ADCP-Calibrated Hydrodynamic and Techno-Economic Approach" Water 18, no. 11: 1370. https://doi.org/10.3390/w18111370
APA StyleLuna Rivera, W., Sousa Santos, V., Balbis Morejón, M., & Quispe, E. C. (2026). Methodological Framework for Tidal Energy Assessment in Low-Energy Tropical Estuaries: An ADCP-Calibrated Hydrodynamic and Techno-Economic Approach. Water, 18(11), 1370. https://doi.org/10.3390/w18111370

