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The objective of any performance index is to evaluate quantitatively and qualitatively the operation of an equipment and allow comparisons to be made between various configurations. The most used indices for acAC/dc DC rectifiers and dcDC/ac AC inverters are presented in Table 1.

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Performance Index

Expression

line-line rms output voltage [Vrms]

Mathinline
body--uriencoded--V_%7BL(\text%7Brms%7D)%7D = \sqrt%7B\frac%7B2%7D%7B3%7D%7D V_d

fundamental rms output voltage [Vrms]

Mathinline
body--uriencoded--V_%7BL1(\text%7Brms%7D)%7D = \frac%7B\sqrt%7B6%7D%7D%7B\pi%7D V_d

rms line-line voltage harmonic spectrum

Mathinline
body--uriencoded--V_%7BLh%7D = \frac%7B0.78%7D%7Bh%7D V_d, \; h \text%7B odd integer%7D \geq 5

amplitude modulation ratio

Mathinline
body--uriencoded--m_a = \frac%7B\tilde%7BV%7D_%7B\text%7Bcontrol%7D%7D%7D%7B\tilde%7BV%7D_%7B\text%7Btri%7D%7D%7D

frequency modulation index

Mathinline
body--uriencoded--m_f = \frac%7Bf_s%7D%7Bf_1%7D

phase current harmonics

Mathinline
body--uriencoded--I_h = \frac%7BV_%7BLLh%7D%7D%7B\sqrt%7B3%7D h X_L%7D

avg. dc DC bus current [A]

Mathinline
body--uriencoded--I_d = \frac%7BP%7D%7BV_d%7D

line current [A]

Mathinline
body--uriencoded--I_L = \frac%7BP%7D%7B\sqrt%7B3%7D V_L%7D

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