PDF (Thesis) - Nottingham eTheses - University of Nottingham
PDF (Thesis) - Nottingham eTheses - University of Nottingham
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 />
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