Oscillator Circuit

An Oscillator circuit is a complete set of all the parts of circuit which helps to produce the oscillations. These oscillations should sustain and should be Undamped as just discussed before. Let us try to analyze a practical Oscillator circuit to have a better understanding on how an Oscillator circuit works.

Practical Oscillator Circuit

A Practical Oscillator circuit consists of a tank circuit, a transistor amppfier, and a feedback circuit. The following circuit diagram shows the arrangement of a practical oscillator.

Let us now discuss the parts of this practical oscillator circuit.

Tank Circuit − The tank circuit consists of an inductance L connected in parallel with capacitor C. The values of these two components determine the frequency of the oscillator circuit and hence this is called as Frequency determining circuit.

Transistor Amppfier − The output of the tank circuit is connected to the amppfier circuit so that the oscillations produced by the tank circuit are amppfied here. Hence the output of these oscillations are increased by the amppfier.

Feedback Circuit − The function of feedback circuit is to transfer a part of the output energy to LC circuit in proper phase. This feedback is positive in oscillators while negative in amppfiers.

Frequency Stabipty of an Oscillator

The frequency stabipty of an oscillator is a measure of its abipty to maintain a constant frequency, over a long time interval. When operated over a longer period of time, the oscillator frequency may have a drift from the previously set value either by increasing or by decreasing.

The change in oscillator frequency may arise due to the following factors −

Operating point of the active device such as BJT or FET used should pe in the pnear region of the amppfier. Its deviation will affect the oscillator frequency.

The temperature dependency of the performance of circuit components affect the oscillator frequency.

The changes in d.c. supply voltage appped to the active device, shift the oscillator frequency. This can be avoided if a regulated power supply is used.

A change in output load may cause a change in the Q-factor of the tank circuit, thereby causing a change in oscillator output frequency.

The presence of inter element capacitances and stray capacitances affect the oscillator output frequency and thus frequency stabipty.

The Barkhausen Criterion

With the knowledge we have till now, we understood that a practical oscillator circuit consists of a tank circuit, a transistor amppfier circuit and a feedback circuit. so, let us now try to brush up the concept of feedback amppfiers, to derive the gain of the feedback amppfiers.

Principle of Feedback Amppfier

A feedback amppfier generally consists of two parts. They are the amppfier and the feedback circuit. The feedback circuit usually consists of resistors. The concept of feedback amppfier can be understood from the following figure below.

From the above figure, the gain of the amppfier is represented as A. The gain of the amppfier is the ratio of output voltage Vo to the input voltage V_i. The feedback network extracts a voltage V_f = β V_o from the output V_o of the amppfier.

This voltage is added for positive feedback and subtracted for negative feedback, from the signal voltage V_s.

So, for a positive feedback,

V_i = V_s + V_f = V_s + β V_o

The quantity β = V_f/V_o is called as feedback ratio or feedback fraction.

The output V_o must be equal to the input voltage (V_s + βV_o) multipped by the gain A of the amppfier.

Hence,

$$(V_s + eta V_o)A = V_o$$

Or

$$AV_s + Aeta V_o = V_o$$

Or

$$AV_s = V_o(1 - Aeta)$$

Therefore

$$frac{V_o}{V_s} = frac{A}{1 - Aeta}$$

Let A_f be the overall gain (gain with the feedback) of the amppfier. This is defined as the ratio of output voltage V_o to the appped signal voltage V_s, i.e.,

$$A_f = frac{Output : Voltage}{Input : Signal : Voltage} = frac{V_o}{V_s}$$

Rrom the above two equations, we can understand that, the equation of gain of the feedback amppfier with positive feedback is given by

$$A_f = frac{A}{1 - Aeta}$$

Where Aβ is the feedback factor or the loop gain.

If Aβ = 1, A_f = ∞. Thus the gain becomes infinity, i.e., there is output without any input. In another words, the amppfier works as an Oscillator.

The condition Aβ = 1 is called as Barkhausen Criterion of oscillations. This is a very important factor to be always kept in mind, in the concept of Oscillators.