Wave Energy Calculator: Ocean Wave Power Per Meter

Wave Energy Calculator

Estimate ocean wave power per meter of crest, wave energy density, wavelength, deep-water wave speed, and total farm output from significant wave height and energy period using deep-water linear wave theory.

🌊Real Sea-State Presets

📝Wave and Device Inputs

Average height of the highest one third of waves.

Peak or mean zero-crossing wave period.

Seawater 1025, fresh water about 1000.

Width of wave front captured by one device.

Fraction of raw wave power the WEC converts.

Wave power 0 kW per meter of crest
Total device power 0 across all devices
Energy density 0 kJ per square meter
Wavelength 0 deep-water crest spacing

🔢Formula Snapshot

HsWave height m
TeEnergy period s
0.49kW/m coefficient
1025Seawater kg/m3

📊Wave Power by Height and Period

Hs × TeTe = 6 sTe = 8 sTe = 10 sTe = 12 sTe = 14 s
Hs = 0.5 m0.74 kW/m0.98 kW/m1.23 kW/m1.47 kW/m1.72 kW/m
Hs = 1.0 m2.94 kW/m3.92 kW/m4.91 kW/m5.89 kW/m6.87 kW/m
Hs = 2.0 m11.8 kW/m15.7 kW/m19.6 kW/m23.5 kW/m27.5 kW/m
Hs = 3.0 m26.5 kW/m35.3 kW/m44.2 kW/m53.0 kW/m61.8 kW/m
Hs = 5.0 m73.6 kW/m98.1 kW/m123 kW/m147 kW/m172 kW/m
Hs = 8.0 m188 kW/m251 kW/m314 kW/m377 kW/m440 kW/m

🌎Sea State and Beaufort Reference

Sea StateBeaufortWind (kn)Hs RangeTypical Te
Calm glassy00 to 10 m-
Smooth24 to 60.1 to 0.5 m4 to 6 s
Slight3 to 47 to 160.5 to 1.25 m5 to 7 s
Moderate517 to 211.25 to 2.5 m6 to 9 s
Rough6 to 722 to 332.5 to 4 m8 to 11 s
Very rough834 to 404 to 6 m10 to 13 s
High to storm9 to 1141 to 636 to 14 m12 to 18 s

Energy Period, Speed and Wavelength

Energy Period TeWave Speed cWavelength LFrequencyRegime Note
4 s6.2 m/s25 m0.250 HzShort wind sea
6 s9.4 m/s56 m0.167 HzLocal wind waves
8 s12.5 m/s100 m0.125 HzMixed sea and swell
10 s15.6 m/s156 m0.100 HzDeveloped swell
12 s18.7 m/s225 m0.083 HzLong ocean swell
15 s23.4 m/s351 m0.067 HzDistant storm swell

Full Formula Breakdown

Wave power per meterP = (rho × g² / (64π)) × Hs² × Te in watts per meter of wave crest. With seawater this reduces to about P (kW/m) = 0.49 × Hs² × Te.
Energy densityE = (1/16) × rho × g × Hs² in joules per square meter for an irregular sea. Regular monochromatic waves use the 1/8 factor with wave height H.
Energy periodTe is derived from the spectrum. Common estimates are Te = 0.90 × Tp from peak period or Te = 1.20 × Tz from mean zero-crossing period.
Total powerTotal = P × crest length × number of devices. Applying capture efficiency gives the electrical output a wave energy converter can deliver.
Deep-water speedPhase speed c = g × T / (2π). This is valid in deep water where depth is greater than about half the wavelength.
WavelengthL = g × T² / (2π). Group speed that carries the energy in deep water is half the phase speed, cg = c / 2.

🗂Wave Energy Scenario Comparison

ScenarioHsTePower kW/mWavelengthNotes
Calm bay1.0 m6 s2.9456 mLow resource site
Moderate coast2.0 m8 s15.7100 mTypical nearshore
Storm swell5.0 m12 s147225 mHigh but intermittent
Atlantic swell3.5 m11 s66.1189 mStrong Europe west coast
Pacific wave2.5 m10 s30.6156 mConsistent long swell
Big-wave surf8.0 m14 s440306 mExtreme rare event

📋Wave Energy Potential Examples

Location TypeMean PowerResourceNote
Sheltered lake1 to 3 kW/mVery lowLimited fetch and short period
Mediterranean coast4 to 10 kW/mLowSeasonal wind-driven seas
US Pacific coast20 to 40 kW/mHighReliable Pacific swell
North Atlantic west40 to 70 kW/mVery highIreland, Scotland, Portugal
Southern Ocean60 to 100 kW/mExtremeStrongest sustained wave climate

💡Practical Wave Energy Tips

Height dominates: Because power scales with wave height squared, doubling Hs quadruples the power in the wave while doubling the period only doubles it. Prioritize sites with tall, energetic seas.
Match the period: A converter tuned to the local energy period Te captures far more of the resource. Long-period swell also carries energy across a wider wavelength, so device spacing matters in a farm.

Wind sweeping over an ocean surface produce waves. These waves produce swells which is carried to the shoreline in a regular way. To harness that power require something more than just some floating contraption. It requires understanding how water moves. The water contains packets of both potential and kinetic energy, and the amount of this energy depend on interval between crests and height of the wave.

The calculator does all this for you. Just input the period and significant wave height of your location. That eliminates guesswork for the fluid dynamics equations.

How to Calculate Wave Energy

The first order factor is wave height. People fixate on speed and volume and miss it. The amount of power go up at the rate of the square of the height. That means that doubling the wave height result in quadrupling the power available along each meter of crest. A two-metre sea state isn’t simply twice as powerful than a one-metre swell; it’s four times more so. This uneven relationship make the developer’s problem with finding sites difficult. They can’t thin out their devices over a wide area to capture average conditions. They require spots where the resource is concentrated. The page’s table of references illustrate this well. As you get into the area of storm surge versus calm bay conditions, kilowatt/meter goes up quickly.

But there’s also another aspect; period matters. It happens linearly. Generally speaking, longer periods corresponds to swell waves. These waves have traveled great distances from where they were born. Instead of choppy wind sea (from local winds), these become long rollers that has smoothed out during their journey. And they’re easier for converters to use because they offer a longer window of engagement with the device and thus contain greater energy. The tool automatically calculates mean zero-crossing period, energy period and peak period. No need for you to look into the spectral data.

Standard coefficients used by oceanographic engineers gives you a realistic estimate of what can be captured. Pure physics doesn’t include losses encountered when things is deployed in real world. In theory your site can have thirty kilowatts per meter of power. No converter is going to capture all of that resource. Use efficiency input to model reality. Include losses due to hydrodynamic drag, mechanical transmission, and electrical conversion. Under optimal conditions most commercial prototypes hope to achieve a capture efficiency of twenty to forty percent.

Additionally, think about how wide your device is and where it sits within the farm. A single point absorber will only interact with a small portion of the wave front. An attenuator will span multiple meters. Multiply the raw input (power per meter) times the length of the crest that’s actively engaged by your device. Then subtract for losses in efficiency.

Remember: deep water vs. Shallow water regimes. The wave formulas used above are for deep-water conditions. By definition, this refers to a situation where depth of water is greater than one-half the length of the wave. For the vast majority of offshore projects, this will be the case. As waves near the shore, they begins to slow down. As waves get shallower, they can shorten their wavelength and increase in height in some cases. This greatly changes the energy density profile. Such deep-water approximations can provide a first screening for offshore sites. More subtle models considering seabed shape is needed for nearshore installations.

A primary difficulty in developing wave energy are that resource variability is high. Wind exhibits seasonality; solar, a repeatable daily pattern. Storms hundreds of miles away can cause sea state shifts in hours. One day a site may provide great power, the next none at all. This leads to higher costs for integrating into the grid or storing. Before making an investment, consistent resource assessment is key. Stay away from sites whose resources only spike during extremely rare storm events. Building hardware capable of surviving them would of be far too costly during mild conditions the remaining days of the year.

Matching tech with nature is the key. Harnessing ocean waves as dependable power means accepting both the power of nature and the limits of your machinery. Combining efficiency, height, and period create a way to see if a location produces enough constant power to make engineering sense. Engineering takes time. Mother Ocean won’t pause while waiting and she repays those who understand her cycles.

Wave Energy Calculator: Ocean Wave Power Per Meter