April 27, 2024

A high precision reference voltage design

0 Preface

With the development of integrated circuits, a highly stable, high-precision reference voltage source has become increasingly important. Especially in D/A, A/D conversion and PLL circuits, temperature stability and accuracy are related to the accuracy and performance of the entire circuit.

Most of the reference voltage sources designed today use the BJT bandgap reference structure and use the sub-threshold characteristics of MOS transistors to generate the reference voltage. However, with the development of deep sub-micron CMOS technology, the size is shrinking proportionally to the chip. The challenge of area is getting more and more serious, and the area occupied by bipolar transistors and high-precision resistors becomes a very serious problem. Here, it is proposed to generate a current proportional to the absolute temperature (PTAT) by the principle of the gate-source voltage difference of two MOS transistors operating in the saturation region, and use this current to connect an NMOS connected to a diode operating in the saturation region. The threshold voltage of the transistor is compensated to realize a low-temperature drift, high-precision reference voltage source design.

1 NMOS transistor composition

The structure of two NMOS transistors M1 and M2 operating in the weak inversion region is as shown in FIG.

Its output voltage V0 can be expressed as:

Output voltage V0

Where: UT=kT/q; k is the Boltzmann constant; ΔV represents the error introduced by the transistor mismatch in practice, which is a constant, and its influence is ignored here. This gives you:

Structure diagram of NMOS transistors M1 and M2, current source generation principle

In the formula: It is a multiplication factor determined by temperature, and its temperature characteristics will be discussed later.

For NMOS transistors M1 and M2, the gate-source voltages are Vgs1 and Vgs2, respectively, then the voltage in Figure 3 is:

Voltage formula

If the MOS transistor output voltage characteristics of the two weak-inversion regions described above are used to control the gate voltages Vgs1 and Vgs2 of the two NMOS transistors operating in the saturation region, such that:

Voltage formula

Where: λ is a proportionality constant.

Substituting equation (5) into equation (3) yields:

Current formula

For the parameter KM1, it is mainly affected by the transistor mobility λ, which is usually defined as:

Parameter K

Where: T is the absolute temperature; α is determined by the process, and the typical value is 1.5. The formula (7) can be obtained by substituting (6):

Simplified formula

It is a temperature independent constant.

According to the above analysis, this method can obtain a current I1 proportional to the absolute temperature (PTAT). The specific implementation circuit is shown in Figure 3.

PTAT current realization circuit diagram

In the circuit of Figure 3, the four PMOS transistors M3~M6 operate in the saturation region, and their width to length ratio are the same. The two NMOS transistors M1 and M2 operate in the saturation region, and their width to length ratio is (W/L) 2 / (W / L) 1 = m. By adjusting the circuit, the four NMOS transistors M7 ~ M10 work in deep linear Area. Now let's talk about how the circuit works.

For the ground voltages of points X and Y, they can be expressed as:

Ground voltage at point X and point Y

It can be seen from equations (5) and (15) that in this circuit, the coefficients of equation (5):

λ is the proportional constant

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Optional medical versions(H type)

Custom specific versions available on request

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