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Home Electric Networks Filters Design of a Composite Filter  


Design of a Composite FilterSuppose that a balanced lowpass composite filter cutting off at 8400 cycles, and with (theoretically) infinite attenuation at 10,300 cycles, is desired. This filter is to be used with lines and equipment having impedances of 600ohms resistance. Three constantk sections will provide sufficient attenuation considerably beyond the point of cutoff. The m corresponding to an a = 10,300/8400 = 1.225 is, from equation 96, m = 0.577, From Fig, 44 it is seen that this m will give good impedance match, and hence one mderived section can be used to obtain both the infinite attenuation and the good impedance match. From equations 74 and 75 for the constantk sections, L_{1} = 600/(3.1416 X 8400) = 22.7 millihenrys; also.. C_{2} = 1/(3.1416 X 8400 X 600) = 0.0632 microfarad. For the mderived sections (see Fig. 42), mL_{1}/2 = (0.577 X 22.7) /2 = 6.55 millihenrys. The value of the shunt capacitor is mC_{2} = 0.577 X 0.0632 = 0.0365 microfarad. Also, (1m^{2})L_{1}/4m = [(1  0.577^{2}) X 22.7]/(4 X 0.577) = 6.55 millihenrys. In the preceding paragraph an mderived T section was designed. Half of this is to be used to terminate each end of the constantk sections. The complete filter will then consist of the sections of Fig. 45(a). The units would, for economy, be combined as shown in Fig. 45(b). In the final filter it is of interest to find that the 13.1millihenry inductors and the 0.0183microfarad capacitors shunting each end of the filter are tuned to a frequency of approximately 10,300 cycles, the frequency at which infinite attenuation is desired. The measured attenuation characteristics are shown in Fig. 46.
Suppose that a very sharp cutoff had been desired, with an infinite attenuation at about 9240 cycles, giving an a = 9240/8400 = 1.1. According to Fig. 44, an a of 1.1 or an m of 0.416 would not give a good termination. Therefore, one mderived T section of a = 1.1 would be added internally to the composite filter of Fig. 45. Although in the previous discussions only a lowpass filter was designed, the procedure is the same for a highpass composite filter.


Home Electric Networks Filters Design of a Composite Filter 