WWW.WATERPOWERMAGAZINE.COM SEPTEMBER 2010 67
RESEARCH
the measure of the wave energy resource is that the nearshore wave
energy resource appears much smaller than the offshore wave energy
resource. This is often cited as the reason that wave energy convert-
ers should be located offshore in deep water and possibly why the
vast majority of wave energy converters conceived are designed for
deep water.
The Marine Energy Research Group at Queen’s University Belfast
(QUB) has been involved in the research and development of wave
energy technologies since the 1970s. The group’s focus has princi-
pally been on shoreline and nearshore technologies. This includes
the development with Wavegen of the LIMPET shoreline oscillating
water column and more recently the development of Oyster with
Aquamarine Power. Although both technologies have been proven
to be technically successful it became clear that the historical deni-
tion of the wave energy resource was limiting the perceived poten-
tial of the technologies. Consequently, in 2008 the research group at
QUB endeavoured to dene a measure of the wave energy resource
more appropriate for the analysis of all wave energy converters. They
termed this measure the exploitable wave energy resource.
EXPLOITABLE WAVE ENERGY RESOURCE
The exploitable wave energy resource is designed to discount the con-
tributions from the highly energetic sea-states and to account for the
directional distribution of the wave climate. This would provide a
more appropriate measure of the wave energy resource. To achieve
this, the exploitable wave energy resource is calculated by constrain-
ing the gross wave power density in two ways.
The rst constraint is to only include the wave energy that crosses a
straight line orthogonal to the predominant direction of wave propa-
gation (this is sometimes called the net wave power density). Wave
energy takes many hundreds of kilometres of open water to develop
and any wave energy converter placed in the lee of another wave
energy converter will experience a reduced wave energy resource.
Thus, to maximise the power output of a wave farm, the wave energy
converters will logically be strung-out in a line orthogonal to the pre-
dominant direction of wave propagation. In this arrangement it is the
wave energy that crosses the line of the wave farm that is the resource
that can be effectively exploited.
The second constraint is that the maximum wave power density
that can be exploited is capped as a multiple of the average wave
power density. This constraint accounts for the maximum output
of the wave energy converter’s power take-off system and electri-
cal generator. For economic reasons this is typically equal to three
or four times the average power output, resulting in a load factor
similar to wind turbines. Technically, the appropriate limit to apply
to the wave power density depends on the relationship of the system
efciency with incident wave power and thus the particular technol-
ogy. However, a cap of four-times the average wave power density is
considered a reasonable approximation.
Having dened a more appropriate measure of the wave energy
resource, the Marine Energy Research Group at QUB investigated
the change in this resource as it approaches the shore. The investiga-
tions were performed using the third-generation spectral wave model
SWAN. SWAN models the propagation of the wave spectral energy
density in time and space. In addition, it also models the modication
of the wave spectral energy density due to wind growth, refraction,
shoaling, bottom friction, whitecapping and surf breaking, together
with changes to the spectral shape due to the internal hydrodynamics
of the waves. These models are the industry-standard for modelling
wave climates and sea-state transformations.
FURTHER INVESTIGATION
Initial investigations focused on idealised test cases so that the
effect of each loss mechanism could be isolated. These investi-
gations showed that in typical sea-states refraction is the princi-
pal cause of the reduction in the gross wave power density from
offshore to nearshore. In addition, in water with a depth of less
than two to three times the signicant wave height, surf breaking
also becomes a signicant loss mechanism. However, few wave
energy converters are proposed to be deployed in such shallow
water. Bottom friction, which is often quoted as being the main
loss mechanism, was found to typically account for less than a
10% reduction in wave power density.
Further investigations used wave hindcast data 20km off of the
coast of West Orkney, Scotland. At this site the bathymetry was
approximated as a 1:100 slope. These investigations showed that
to the 10m depth contour the annual average gross wave energy
resource decreased by 30%, whilst the annual average exploitable
wave energy resource decreased by only 13%. A similar study off of
the coast of South Uist, Scotland, where there is a 1:400 seabed slope,
showed a decrease of 44% in the annual average gross wave energy
resource, but only a 23% decrease in the annual average exploitable
wave energy resource.
Finally, investigations were also performed using nine years of
wind/wave hindcast and bathymetry data for the Wave Energy
Converter Test Site at the European Marine Energy Centre located in
the Orkney Islands, Scotland. This analysis showed that there is less
than a 10% difference between the exploitable wave energy resource
at the ‘deep water’ test berth (located in 50m water depth) and the
nearshore test berth (located in 10m water depth).
All these investigations show that the difference between the gross
and exploitable wave energy resources is smaller nearshore than it
is offshore. The seabed to the nearshore can be considered as acting
as a lter that keeps only the exploitable waves. That is, the seabed
refracts the incident waves so that they come from a more concen-
trated direction and also causes the largest waves to break limiting
their power density and destructiveness. Viewed from this perspective
the nearshore appears much more inviting.
INAPPROPRIATE PERCEPTIONS
The conclusion from these investigations is that whilst the wave
energy resource is smaller nearshore compared to offshore, the dif-
ference is much less signicant than use of the gross wave energy
resource suggests. The difference is sufciently small to suggest that
nearshore wave energy converters cannot be dismissed based solely
on the available resource; other factors that determine the cost of
energy become relatively more signicant.
The different environments in the nearshore and offshore means
that in general the technologies developed are distinct. For example,
Pelamis requires a minimum of about 50m water depth for deploy-
ment because the moorings must have sufcient compliance to mini-
mise loads during storms; it could not be deployed in the nearshore.
Indeed, nearshore wave energy converters can be cheaper or have a
better performance than their offshore counterparts. For example,
wave energy converters that react against the seabed are generally
cheaper in shallower water due to a reduction in load-path lengths. In
addition, wave energy converters that exploit the surge motion of the
waves generally have a better performance in the nearshore as depth-
induced shoaling increases the waves’ surge amplitudes. Electrical
cable lengths and other shore connectors will also be shorter when
the wave energy converters are closer to the shoreline reducing both
costs and failure rates.
The economics of wave energy converters remains to be proven.
However, the investigations have shown that it would be inappropri-
ate to dismiss nearshore technologies based solely on information
about the gross wave energy resource. A new, more suitable, measure
for comparing sites for wave energy converters has been identied and
this has been termed the exploitable wave energy resource. This has
levelled the “playing eld” so that the most promising technologies
are developed without being hampered by inappropriate perceptions
of the wave energy resource.
Dr Matt Folley, Senior Research Fellow, Marine Energy
Research Group, School of Planning, Architecture and Civil
Engineering, Queen’s University Belfast, Northern Ireland
Email: m.folley@qub.ac.uk
IWP& DC