Design of 50Hz notch filter based on integrated second-order filter UAF42

The UAF42 is an integrated second-order filter that can be used to design complex filters. This paper describes how to design a high-performance 50Hz notch filter based on UAF42, and use the free simulation software TINA to simulate and analyze this circuit for engineers to learn and learn.

design

It is well known that the accuracy and temperature stability of an op amp is critical in filter design. The UAF42 integrates two 0.5% precision 1000pF capacitors.

In industrial applications, 50Hz notch filters are required for a variety of applications. This section describes the design of a high performance 50Hz notch with UAF42. UAV42 is used to design 50Hz notch filter, only need to add 6 resistors to form a 50Hz notch filter. As shown below

figure 1

The UAF42's auxiliary op amp adds the outputs of the high-pass and low-pass filters to obtain the notch. The notch frequency of the notch is determined by the following equation, where Alp is the gain of the low pass filter and Ahp is the gain of the high pass filter.

figure 2

In general, ALP/AHP? RZ2/RZ1=1. Therefore the center frequency of the trap is:

image 3

Where fo is determined by:

Figure 4

among them

Figure 5

Refer to the UAF42 data sheet, C=1000pF, then RF=3.1831MΩ.

Therefore the center frequency of the trap can be determined by the resistor Rf. Or both increase the capacitance to determine. Capacitors are generally selected for NPO capacitors, or mica capacitors, or other low-leakage, high-temperature-stabilized ceramic capacitors.

The -3dB bandwidth of the circuit is determined by the following equation

Figure 6

Definition of -3dB bandwidth: BW-dB = fH-fL. The Q in the above equation is determined by the gain of the auxiliary op amp. Further set by the value of Rq, as follows:

Figure 7

The passband of the notch is primarily affected by the filter Q parameters. The Q parameter is determined by the input resistance and gain resistance of the auxiliary amplifier circuit as follows:

Figure 8

It should be noted here that the notch center frequency fo and the filter Q parameters of the notch circuit based on UAF42 can be set separately.

simulation

In the previous section, we designed a 50Hz notch based on UAF42. In this section, we will use the free simulation software TINA to simulate this circuit. The specific schematic is shown below.

Figure 9

The 3.1831M ohm resistor consists of two E96 standard resistors connected in series. One is 3.16M Euro and the other is 23.09K Euro. The main reason for choosing the E96 standard resistor is that it can achieve 1% accuracy requirement, the resistance value is easy to match, and the cost is low. The UAF42's power supply is powered by +/-15V.

The following is a simulation of the designed circuit. The following figure shows the simulation results of the designed notch circuit. It can be seen that there is about -74 dB of attenuation at 50 Hz. The -3dB bandwidth was calculated to be 8 Hz using a software measurement tool.

Figure 10

The above figure is only the simulation result. Due to the accuracy of the device and the actual circuit distribution parameters, the performance of this notch may be slightly reduced. Interested engineers can make PCBs and test them.

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