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Optimization Chapter | 9 263


             wind arrays. Aggregate power from a colocated wind and wave farm achieves
             reductions in variability equivalent to aggregating power from two offshore
             wind farms approximately 500 km apart, or two wave farms approximately
             800 km apart [35].
                In general, a trend of energetic wind and wave activity in winter months
             coincides with an increased demand for electricity for heating and lighting
             (e.g. see Fig. 10.1 in the next chapter). However, with significant interannual
             variability in the wind and wave resources, it is a high-risk strategy to put too
             much reliance on these stochastic forms of energy conversion. In Fig. 1.12C,
             we looked at how demand for electricity varied throughout the day, with well-
             defined peaks at around 08:00 and 18:00. It would therefore be useful if a
             wind/wave energy mix could be optimized to match these peaks in demand.
             Cradden et al. [36] considered wind/wave energy mixes in Orkney (at the EMEC
             wave test site) in the ratios 100% wind:0% wave, 75% wind:25% wave, etc.
             down to 0% wind:100% wave. Considering only time periods when electricity
             demand exceeded 90% of peak, the frequency distribution of capacity factor for
             these different wind/wave energy mixes was calculated (Fig. 9.20). At 100%


                            100% Wind                       100% Wave
                100                             100
              Frequency  50                    Frequency  50


                 0                               0
                    0  102030405060708090 100       0  102030405060708090 100
                           Capacity factor                  Capacity factor
                         75%–25% Wind-wave               50%–50% Wind-wave
               100                              100
              Frequency  50                    Frequency  50


                 0                               0
                    0  102030405060708090 100       0  102030405060708090 100
                           Capacity factor                  Capacity factor
                                          25%–75% Wind-wave
                                 100
                                Frequency  50


                                  0
                                     0  102030405060708090 100
                                            Capacity factor
             FIG. 9.20  Frequency distribution of capacity factor for a range of wind/wave energy mixes,
             calculated when demand is >90% of peak for a 2-year time series from the EMEC wave test site.
             (Reproduced from L. Cradden, H. Mouslim, O. Duperray, D. Ingram, Joint exploitation of wave
             and offshore wind power, in: Proceedings of the 9th European Wave and Tidal Energy Conference
             (EWTEC), Southampton, UK, 2011, pp. 1–10.)
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