ENCYCLOPEDIA OF RADIO ELECTRONICS AND ELECTRICAL ENGINEERING HF antenna Square (principles of operation). Encyclopedia of radio electronics and electrical engineering Encyclopedia of radio electronics and electrical engineering / HF antennas One of the reasons that determined the noticeable increase in the activity of Soviet shortwaves and their success in international competitions is the widespread use of directional antennas. The most popular in our country are "squares" with two, three or more beamforming elements. These antennas will be discussed in the article. The main goal pursued by the authors is to give recommendations to the shortwave operator in the selection and tuning of antennas, summarizing the experience of Soviet and foreign shortwave operators. Comparison of "squares" and "wave channels" The widespread use of "squares" led to the need to compare their characteristics with the parameters of another antenna popular with radio amateurs - the "wave channel". The table shows the results of measurements of the characteristics of some antennas "square" and "wave channel", borrowed from the magazine "QST", 1968, No. 5. It follows from it. that the parameters of both antennas are approximately the same if we compare "wave channels" that have one element more than "squares". With the same number of elements, the "square" will have a gain of about 2 dB more. According to our data, this figure can be increased to at least 2,5 dB if the distances between the elements are chosen optimally.
To understand the physical reason for such a significant difference, let us consider the directions of currents (in Fig. 1) in the frame - the "square" element and in the half-wave dipole - the "wave channel" element.
From fig. 1 it follows that only the currents flowing in the horizontal parts of the frame take part in the formation of the "square" diagram, since the fields from the currents flowing in the vertical parts are mutually compensated. Therefore, the frame is equivalent to a system of two in-phase shortened vibrators, spaced apart in height by a distance L/4. It is known that the radiation pattern in the vertical plane of such a system has a smaller angle compared to the pattern of a single dipole and, consequently, its amplification is higher. Quantitative gain in gain, depending on the parameters and the height of the rise of both elements, can be from 2,2 to 3,1 dB. This gain can be determined by the formula, which is valid with sufficient accuracy for KB ranges: A=40000/FgFv where A is the gain factor, Fg and Fv is the width of the radiation patterns in the horizontal and vertical planes, respectively. Substituting in the formula the average values Fg=180° and Fv=135° for the dipole, Fg=170° and Fv=80° for the frame, we get that the gain of the dipole is 1,64 times or 2,15 dB (in terms of power), gain frame - 2,94 times or 4,68 dB. Thus, the average gain gain is 2,53 dB. This figure is real and confirmed in practice. A similar gain is achieved when the frame is located at an angle down, which is used in many designs. This option differs from the one discussed above only in that in it the radiation pattern is formed by the horizontal components of the currents flowing in all four sides of the frame, and the fields from the vertical components are compensated. One more feature of the "square" can be noted. Since the frame of length L forms a symmetrical closed loop, the influence of the ground and surrounding objects, which degrades the characteristics of the antennas, is less. Choice of the optimal design By optimal we mean such design data of the antenna, which provide the maximum forward/backward radiation ratio at a sufficiently high gain. It seems necessary to introduce this definition because of the existence of two methods for tuning directional antennas - for maximum gain and for the maximum forward / backward radiation ratio. These maxima do not coincide, and, as practice shows, the loss in terms of forward/backward radiation when tuning according to the first method turns out to be greater than the loss in amplification in the second case. In the process of designing an antenna, a radio amateur must determine the number of elements, the distance between them, and their dimensions. To solve the first problem, let us turn to Fig. 2.
It shows the antenna gain A and the forward/backward radiation ratio B as a function of the number of elements n. The graphs are based on the results of measurements (coinciding with the calculated data) on "square" antennas with optimal characteristics for the 14 MHz band. As you can see, the growth of both parameters slows down as the number of elements increases, and this becomes especially noticeable for n>3. Given the difficulties associated with the manufacture and tuning of multi-element antennas, the authors believe that in most cases it is advisable to limit the number of elements to three. In the opinion of some foreign radio amateurs, a four-element antenna is structurally more convenient due to the symmetrical (with respect to the vertical axis passing through the center of mass) arrangement of elements. We leave the final decision to the reader. To select the optimal distances between the elements, we consider the dependence of the amplification A on the distance S, expressed in fractions of the wavelength L (Fig. 3). The diagram shows in black the dependence of the amplification on the distance between the selector and the reflector of a two-element "square". In the shaded area corresponding to the gain maximum (S = 0,175-0,225L), it practically does not change, therefore, in this case, the choice of distance within the specified limits is not critical. For antennas with more than two elements, the task becomes more complicated due to the introduction of additional independent variables (two for a three-element antenna, three for a four-element antenna, etc.). Therefore, it is advisable to set one of the distances (for example, between the vibrator and the reflector) and choose other distances as optimal. So, if we take the vibrator-reflector distance for a three-element antenna equal to 0,2L, we can determine the optimal vibrator-director distance using the curve shown in Fig. 3. Obviously, this "square" will have the greatest gain at a distance between the vibrator and the director equal to 0,175L, and in this case, when the distances change from 0,14 to 0,21L, the gain remains practically constant, although, as expected , due to the decrease in the wide bandwidth of the antenna, the dependence of the gain on S becomes steeper. To illustrate what has been said, we can cite a graph slightly transformed for "squares" at 14 MHz from the same "QST" magazine. Based on the study of a large number of antennas, the dependence of the gain on the length L of the traverse for fastening the elements was determined (Fig. 4). The shaded areas on the graph are the practically possible limits for changing the length of the traverse for an antenna with a given number of elements. It follows from the graph that antennas with a shortened traverse are inferior in gain (two- and three-element - by about 2 dB) to antennas with distances between elements of about 0,2 L. The length of the vibrator frame lv can be calculated by the formula:
where Ky is the elongation factor, depending on the number of elements and the ratio of the length of the frame to the diameter of the wire; Lp is the wavelength for which the antenna is designed. To determine the length of a two-element "square" vibrator, the elongation factor is taken equal to 1,01, with three or more elements it is 1,015-1,02. The length of the reflector of the two-element "square" is chosen by 5-6% more than the length of the vibrator. For a three-element "square", the length of the reflector should be 3-4% longer, the director - 2,5-3% less than the length of the vibrator; for a four-element "square", the length of the reflector should be 2,5-3% more, the length of the directors - 2% less. In practice, the reflector and director are made a little shorter than determined by calculation, so that they can be adjusted using short-circuited loops. Multi-range systems Everything said earlier referred to single-range "squares". In practice, it is often necessary to resort to the creation of a multi-range system. It should be noted, however, that any combination in the vertical plane of elements tuned to different frequencies, especially multiples of two (that is, 14 and 28, 7 and 14 MHz, etc.), leads to a deterioration in the main characteristics of the antenna. Let's give two examples. A two-element "square" at 14, 21 and 28 MHz with frames in different planes (the so-called "hedgehog" design) has a gain of up to 9 dB and a forward / backward emission ratio of up to 24 dB; the same characteristics of a similar "square" made on a traverse do not exceed 8 and 22 dB, respectively. Three-element "square" for two bands (14 and 21 MHz) with spaced reflectors provides amplification up to 13 dB and the ratio of emissions forward / backward - up to 30 dB; for a three-element three-band "square" (a 28 MHz range is added and the frames are located one inside the other), these characteristics deteriorate to 11,5 and 27 dB, respectively. To reduce the influence of elements located in the same plane and operating at multiple frequencies, you can, by properly connecting the feeder, apply their polarization decoupling (horizontal polarization for one and vertical polarization for another range). The decoupling of the elements of the 14-28 MHz ranges in a three-element "square" determined by calculation reaches 20 dB. To obtain the best performance from a multi-range system, it is desirable to maintain optimal element spacings for each range. However, here, due to design difficulties, radio amateurs are often forced to compromise. One example of such a compromise for a three-element "square" at 14, 21 and 28 MHz can be achieving near-optimal performance on the first two bands and worse performance on the third. In our opinion, such a decision is quite justified due to the peculiarities of the passage and the different workload of these ranges. Depending on the specific requirements for the antenna, the radio amateur may choose another option. Literature
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