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Theory: oscillation frequency stabilization. Encyclopedia of radio electronics and electrical engineering

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Encyclopedia of radio electronics and electrical engineering / Beginner radio amateur

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The requirements for the stability of the oscillation frequency of generators and radio transmitters are constantly increasing, which is associated with a large "load" of the air, narrowing the bandwidth of receivers, and the use of the most advanced methods for transmitting analog and digital information. The relative frequency instability of conventional LC oscillators with an oscillating circuit is about 0,01% and by special measures (thermostating, using quality parts) can be increased by an order of magnitude. This is not enough, but, fortunately, a simple and reliable way to improve frequency stability has long been known. It consists in the use of a quartz resonator.

A quartz plate, cut in a certain way from a crystal, has a piezoelectric effect: when it is deformed, charges appear on the surface. There is also an opposite effect: the application of stress to the surfaces of the plate causes its deformation. The plate has its own mechanical resonance, and its quality factor can reach tens and hundreds of thousands - values ​​that are unattainable in conventional circuits. In addition, the mechanical resonance frequency is very stable - it depends only on the size of the plate and is almost not subject to external influences.

A quartz resonator is similar in design to a capacitor - a quartz plate is placed between two plates, from which conclusions are drawn. The linings are now most often sprayed onto the surface of the plate. In electrical terms, a quartz resonator is similar to an oscillatory circuit, the diagram of which is shown in Fig. 53.

Theory: oscillation frequency stabilization

At the series resonance frequency fs, the reactance vanishes, and at the parallel resonance frequency fp it becomes infinite (if we neglect the small losses associated with the resistance r). The equivalent inductance of quartz is large (Henry units), and the series capacitance Cs is small (hundredths of a picofarad), while the parallel capacitance Cp can reach tens of picofarads (it is calculated using the usual formula for the capacitance of a flat capacitor in which quartz serves as a dielectric). As a result, the frequency difference between parallel and series resonances is about 0,1% of the resonant frequency.

In precision quartz oscillators, the series resonance frequency is used as the least susceptible to destabilizing factors, while in simpler oscillators it is more convenient to excite the oscillator at frequencies near parallel resonance, where the resistance of the quartz is inductive, due to which it successfully replaces the inductor.

A diagram of such a generator is shown in fig. 54.

Theory: oscillation frequency stabilization

A major disadvantage of quartz oscillators is the impossibility of frequency tuning. Only a small adjustment within fractions of a percent is permissible, for which the tuning capacitor C1 serves. Spontaneous frequency drift of such a generator can be as small as 1 Hz per 1 MHz (relative instability 10-6).

Author: V.Polyakov, Moscow

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