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Fig 1.

HC issues and their suggested solutions from the literature.

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Fig 2.

HC enhancement illustration using a general system performance.

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Fig 3.

The studied system.

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Table 1.

TS1 parameters.

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Table 2.

Non-linear load’s individual harmonic currents and grid’s individual harmonic voltages as percentages of their fundamental values for TS1 and their maximum limits implied by IEEE 519.

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Table 3.

The individual harmonic currents of the PV generator used in TS1 as a percentage of its fundamental current.

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Table 3 Expand

Table 4.

TS2 parameters.

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Table 4 Expand

Table 5.

Non-linear load’s individual harmonic currents as a percentage of its fundamental values for TS2.

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Table 5 Expand

Table 6.

The grid’s harmonic voltages as percentages of their fundamental values for TS2 and their maximum limits implied by IEEE 519.

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Table 6 Expand

Table 7.

The individual harmonic currents of the PV generator used in TS2 as a percentage of its fundamental current.

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Table 7 Expand

Fig 4.

DDTF schemes featuring Scheme (B) as the best SR-DDTF scheme.

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Fig 5.

Bi-level multi-objective optimization problem flowchart.

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Fig 6.

The paper methodology flowchart.

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Table 8.

Optimization algorithms parameters.

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Table 9.

Simulation results of the base and the capacitor bank cases in the absence of sources harmonics for TS1.

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Table 10.

Simulation results of the base case, the capacitor bank, and the three MOAHA-designed DDTF schemes for TS1 with the presence of all system harmonic signatures.

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Table 11.

The MOAHA-designed DDTFs parameters for TS1.

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Table 12.

Simulation results of the base and the capacitor bank cases in the absence of sources harmonics for TS2.

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Table 13.

Simulation results of the base case, the capacitor bank, and the three MOAHA-designed DDTF schemes for TS2 with the presence of all system harmonic signatures.

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Table 14.

The MOAHA-designed DDTFs parameters for TS2.

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Fig 7.

IHDIL values and the corresponding maximum limits for TS2.

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Fig 8.

IHDVL values and the corresponding maximum limits for TS2.

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Table 15.

Comparison between system parameters with different DDTFs Scheme E designed using: MOAHA, MOPSO, MOSMA, NSWOA, NSHHO, MOTEO for TS2.

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Fig 9.

The POF of the solutions for MOAHA-designed DR-DDTF Scheme E for TS2.

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