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Articles

Synthesis of compact wind profiles using evolutionary algorithms

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Pages 746-764 | Received 18 Oct 2012, Accepted 01 Jul 2013, Published online: 01 Aug 2013

Figures & data

Figure 1 Identification of the wind speed statistical distribution on the site of ‘Petit Canal’ at a Weibull distribution.

Figure 1 Identification of the wind speed statistical distribution on the site of ‘Petit Canal’ at a Weibull distribution.

Figure 2 Generating process of the wind speed representative profile based on statistical approach.

Figure 2 Generating process of the wind speed representative profile based on statistical approach.

Figure 3 Wind speed statistical distribution on the site of ‘Petit Canal’ in Guadeloupe on some temporal windows of 10 min.

Figure 3 Wind speed statistical distribution on the site of ‘Petit Canal’ in Guadeloupe on some temporal windows of 10 min.

Figure 4 Statistical distribution of standard deviations associated with the turbulence.

Figure 4 Statistical distribution of standard deviations associated with the turbulence.

Figure 5 Results of the statistical approach for a three time horizon: 12, 24 and 48 h.

Figure 5 Results of the statistical approach for a three time horizon: 12, 24 and 48 h.

Figure 6 Results of the statistical approach for a time horizon of 120 h.

Figure 6 Results of the statistical approach for a time horizon of 120 h.

Figure 7 Wind speed statistical distribution on some temporal windows of 10 min of the generated profile (120 h).

Figure 7 Wind speed statistical distribution on some temporal windows of 10 min of the generated profile (120 h).

Figure 8 Principle of the profile generation.

Figure 8 Principle of the profile generation.

Figure 9 Individual genotype according to the chromosome encoding strategy (with fixed or variable number of patterns).

Figure 9 Individual genotype according to the chromosome encoding strategy (with fixed or variable number of patterns).

Figure 10 Synthesis optimization process of wind speed representative profile.

Figure 10 Synthesis optimization process of wind speed representative profile.

Figure 11 Synthesis process result of representative profile of a 3 h duration.

Figure 11 Synthesis process result of representative profile of a 3 h duration.

Table 1. Comparison of the generated profile indicators to the reference indicators.

Figure 12 Synthesis process result of representative profile of a 1 h duration.

Figure 12 Synthesis process result of representative profile of a 1 h duration.

Table 2. Comparison of the generated profile indicators to the reference indicators.

Figure 13 Error function evolution for the two synthesis approaches.

Figure 13 Error function evolution for the two synthesis approaches.

Figure 14 Comparison of generated profiles by the two synthesis approaches – time series and associated distributions.

Figure 14 Comparison of generated profiles by the two synthesis approaches – time series and associated distributions.

Table 3. Comparison of generated profiles characteristics by the two synthesis approaches.

Figure 15 Extraction of indicator reference values from the actual wind speed profile of 200 days duration.

Figure 15 Extraction of indicator reference values from the actual wind speed profile of 200 days duration.

Figure 16 Actual reference wind speed profile and corresponding storage power/energy.

Figure 16 Actual reference wind speed profile and corresponding storage power/energy.

Table 4. Influence of Δtcompact on the global error ϵ.

Figure 17 Synthesis process result of representative profile over a 10 days duration.

Figure 17 Synthesis process result of representative profile over a 10 days duration.

Table 5. Target indicators of the generated wind speed profile.

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