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Fig 1.

Hybrid AC/VSC-HVDC system integrated with DFIG structure.

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Fig 2.

Optimization principle of CBAS algorithm.

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Fig 3.

Optimization process of CBAS algorithm.

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Fig 4.

The conventional LL+AVR controller of synchronous generator structure.

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Fig 5.

The overall control structure of DFIG.

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Fig 6.

Control structure of VSC-HVDC system.

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Fig 7.

Overall control flow for hybrid AC/VSC-HVDC system integrated with DFIG.

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Table 1.

System parameters.

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Table 2.

Parameters of four algorithms.

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Fig 8.

Comparison of the best convergence performance of four algorithms obtained in 10 runs.

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Fig 9.

Statistical results of fitness function acquired in 10 runs (in p.u.).

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Table 3.

Optimized controller gains.

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Fig 10.

System responses acquired under the three-phase short-circuit fault.

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Fig 11.

System responses obtained under load disconnection.

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Fig 12.

System responses obtained under DFIG loss.

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Table 4.

Statistical results of convergence performance acquired by four algorithms in 10 runs.

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Table 5.

Statistical results of fitness function acquired by four algorithms in 10 runs (in p.u.).

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Table 6.

IAE indices of five algorithms acquired in three cases (in p.u.).

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Nomenclature.

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