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PDF (Thesis) - Nottingham eTheses - University of Nottingham

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CHAPTER 7: FILTER DESIGN AND REALIZATION<br />

Frequency [kHz] Attenuation required [dB] Resulting f0 [kHz]<br />

150 25 36<br />

230 28 46<br />

300 10 170<br />

Table 7.4: Attenuation for crucial points in CM output emissions<br />

7.5 CM output filter implementation<br />

The DM filter, once inserted into the system, will provide on its own a CM inductance,<br />

that may or may not be enough to be used for the CM emissions filtering. The actual<br />

inductance that couples with the path <strong>of</strong> CM currents is the parallel <strong>of</strong> the three DM<br />

inductors, which is approximately 3mH. To see if this value will be enough, a CM fil-<br />

ter design procedure has been followed, in the same way as fot the DM filter. Table<br />

7.4 represents the attenuation required according to standards for crucial frequency<br />

points in Fig. 5.10, considering 10dB margin. Considering 3mH for the inductance, us-<br />

ing expression 7.3.2, and designing the filter to attenuate 25dB at 150kHz, the required<br />

capacitance is 6.7nF. Therefore a commercial value <strong>of</strong> 10nF was used, which is below<br />

the 20nF limit <strong>of</strong> the 787 power-quality standard. This capacitor has been connected<br />

in the central point <strong>of</strong> the three DM capacitors in order to limit the number <strong>of</strong> capaci-<br />

tors connected from line to ground and to keep the capacitance connected on the three<br />

phases as low as possible. The actual capacitance that the CM currents will cross is<br />

composed <strong>of</strong> the parallel <strong>of</strong> the three 68nF DM capacitors in series with the single 10nF<br />

CM capacitor and this value is actually 9.5nF. This because the CM capacitor is much<br />

smaller compared to the value <strong>of</strong> 204nF resulting from the parallel <strong>of</strong> the DM capaci-<br />

tors, so the actual DM capacitors will not affect much the total CM capacitance value.<br />

Other than the estimation method used in Fig. 7.1, the emissions can be estimated more<br />

accurately adding the actual Filter’s frequency response, calculated with Matlab "Ø"<br />

function for the actual values <strong>of</strong> L and C, to the emissions before the filter insertion. Fig.<br />

7.12 represents the results obtained using this method compared with the actual emis-<br />

sions measured once the complete filter has been inserted in the circuit. It can be seen<br />

that the estimation is very accurate for frequencies up to 1MHz; after that limit the fil-<br />

ter attenuation remains constant rather than keep rolling-<strong>of</strong>f, with a resulting emission<br />

behaviour parallel to the original without filter, roughly 70dB lower.<br />

As it is possible to notice in Fig. 7.13, the total output DM emissions after filter inser-<br />

tion presents a range <strong>of</strong> frequency around 10MHz in which a resonant peak still brings<br />

the EMI above the limit. To reduce the peak, some ferrite tubes made <strong>of</strong> material Fer-<br />

93

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