ENCYCLOPEDIA OF RADIO ELECTRONICS AND ELECTRICAL ENGINEERING BALUN or not BALUN? Encyclopedia of radio electronics and electrical engineering Encyclopedia of radio electronics and electrical engineering / Antennas. Theory The purpose of the device is to prevent the flow of high-frequency currents along the outer surface of the braid to reduce the antenna-feeder effect [2]. The device captivates with its simplicity and ease of manufacture, but does it meet the requirements well? Let's consider them. The balun should have as high a resistance as possible to the HF currents on the braid without breaking the DC contact, i.e. be a choke. Inductors used as chokes are made according to well-known rules: the desire to obtain the maximum inductive resistance with a minimum self-capacitance forces the use of a sectioned winding and / or a cylindrical one with a certain step. Often, broadband chokes do this: from the beginning ("hot" output), winding is carried out with a large step, then with a smaller one, then turn to turn, and, sometimes, the last section is wound in the "universal" way. The intrinsic capacitance of the inductor C0 with the inductance of its winding L forms a parallel oscillatory circuit (Fig. 1), the resonant frequency of which f0 is the higher, the smaller the capacitance. At frequencies above f0, the inductor has a capacitance that drops rapidly with increasing frequency, i.e., ceases to perform its functions. The solid line in the graph (Fig. 1) shows the dependence of the inductor reactance on frequency for an ideal coil with an infinite quality factor. The losses in the coil reduce the quality factor, the branches of the curve no longer go to infinity (dashed line on the graph), and the active component R appears in the total resistance. It is maximum at the resonant frequency and is equal to pQ, where р = (L/C0)1/2 is the characteristic resistance. From this it is clear that in order to increase the impedance of the inductor, it is necessary to increase its inductance in every possible way and reduce its own capacitance. But back to our Valuns. A coiled cable must have a noticeable intrinsic capacitance (up to several tens of pF/m!). This means that the cable bay will not become a choke, but an oscillatory circuit with a certain resonant frequency. The natural desire to wind more turns in the bay (to increase the inductance) can lead to the opposite result: the resonant frequency will be lower than the operating frequency, and the balun will behave like a capacitance, and with an increase in the number of turns, the capacitance will fall. To test this assumption, a simple measuring setup was assembled (Fig. 2), consisting of a standard signal generator (SGS) and an oscilloscope. Balun was located directly on a wooden desktop and was connected with one output of the cable braid (the core was not used) to the GSS case, a VD1 detector diode and an input cable of a low-frequency oscilloscope were connected to the other output. The AM signal from the GSS was fed to the balun through a very small coupling capacitance formed by a segment of an insulated conductor about 10 cm long. Thus, the installation added practically nothing to the cable coil's own capacitance (diode capacitance - fractions of a picofarad). The resonance was detected immediately by a sharp increase in both the constant component and the amplitude of the modulation signal at the oscilloscope input. The Q-factor of the circuit (cable bay) turned out to be not at all small - from 30 ("Shirpo-Trebovsky" TV cable) to 60 (cable with rigid polyethylene outer insulation). The resonant frequency f0, as expected, depends on the number of turns N and the diameter of the coil D. The data of several measurements for the widely used cable PK-75-4-11 (outer diameter over insulation 7,3 mm, over braid 5 mm, core 0,72, XNUMX mm) are tabulated. Of course, these data are indicative, since the resonant frequency depends on the density of the coils, the proximity of surrounding objects, and other factors. According to the table, graphs of the dependence of the resonant frequency on the number of turns were plotted (Fig. 3). They will tell you the maximum number of turns at which the balun is still a throttle. For comparison, in one of the experiments, instead of a coil (D = 20 cm, N = 11), the same cable 7 m long was wound on a plastic tube 10 cm in diameter. A cylindrical coil was obtained containing 20 turns with a winding length of 15 cm. The resonant frequency increased from 4 to 7 MHz, and the quality factor - from 30 to 65. The advantage of the traditional coil design is obvious! So what to do? The easiest way is to make a balun from a cable coil for a single-band antenna - it should be tuned to resonance at the operating frequency, choosing the diameter and number of turns. Then its impedance will be the maximum possible, and consequently, the effect of weakening the currents on the braid will also be maximum. For broadband baluns, the resonant frequency must be chosen such that it is near the upper edge of the operating range. For frequencies below the resonant inductive reactance balun'a can be found by knowing the inductance L: Xl = 27πfL, or by more precise formulas for the impedance of a parallel resonant circuit given in [3]. With a decrease in frequency, the balun will stop working approximately at the frequency where its inductive reactance will be of the same order as the wave resistance of the cable, considered as a wire with a diameter equal to the diameter of the braid, in free space (400 ... 600 Ohm). In conclusion, we present several useful techniques and formulas from [3]. They can be useful to those who will experiment or calculate such devices. The length of the cable in the bay is easy to determine by the formula πDN. The inductance can be calculated as follows: L = 2πN2D[lp(8D/d) -2]. The diameters of the coil D and the outer sheath of the cable d are taken in centimeters, and the inductance is obtained in nanohenries. The quality factor is measured by the width of the resonance curve 2Δf at a level of 0,7 from the maximum: Q = f0/2Δf. The intrinsic capacitance C0 of a balun is difficult to calculate, but it can be found experimentally. If you connect an additional capacitor of known capacitance C1 to the terminals, then the resonant frequency will decrease and become equal to f1. Then C0 = C1/[(f0/f1)2-1]. Using this technique and formulas, it was found, for example, that the coil inductance D = 10 cm, N = 4 is 3,2 μH, and its own capacitance is 10 pF, which gives a resonant frequency of 28 MHz, coinciding with the measured one. Literature
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