**Appendix**

42 Simulated Annealing – Single and Multiple Objective Problems

*Filtering power (kVA)* Harmonic voltage (%Vn) *1 2 3 4 5 6 total* 1 2 3 4 5 6 *50,7 - - - - - 50,7* 1.41 1.86 1.98 2.71 2.17 3.50  *51,1 51,1* 1.41 1.34 1.98 2.10 1.61 3.50 *- - 37,9 - - - 37,9* 1.85 2.32 1.98 3.19 2.65 3.50 *- 2,2 36,3 - - - 38,5* 1.83 2.28 1.98 3.14 2.60 3.50 *- - 37,4 0,7 - - 38,1* 1.85 2.31 1.98 2.98 2.63 3.50 *- - - 13,5 - - 13,5* 2.81 3.13 3.40 3.53 3.45 4.92 *- - - - - 29,6 29,6* 2.18 2.64 2.42 3.50 2.96 1.79 *- - - 1,9 - 12,6 14,5* 2.73 3.17 3.17 3.44 3.50 3.50 *- 0,7 0,6 1,6 - 12,1 15* 2.72 3.16 3.15 3.50 3.49 3.50

**Table 7.** Filtering of the 5th harmonic order on the 690V/400V/230V busbar – Configuration B

**Figure 7.** Filtering power and harmonic voltages – Combination {4,6} for h = 5 - (Conf. B)

The specifications of the power system described in figure 3 are summarised in the following table 8 and table 10. The impedance of the cables is neglected due to their small length. The harmonic analysis is achieved from the currents injected by the non linear loads given in the table 9.


**Table 8.** Linear load parameters

44 Simulated Annealing – Single and Multiple Objective Problems


Optimal Sizing of Harmonic Filters in Electrical Systems: Application of a Double Simulated Annealing Process 45

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**Table 9.** Harmonic currents (A) injected by the non linear loads of the power system


**Table 10.** Parameters of the power transformers
