Körner 15.12

Peter Körner in Lund, Sweden, designed this Yagi array. It has 15 elements on a 3.73-meter (147″) boom, five reflectors, a horizontal folded dipole, and uses a halfwave coaxial balun.

Unlike log-Yagis, the 15.12 has no phasing lines that can induce current in the boom and degrade the pattern.

This overhead view shows the horizontal folded dipole. It is unusually long and the two conductor currents differ, as does their coupling to the first director. Because of these factors, conductor spacing strongly affects antenna performance and can be optimized. It provides only a weak degree of freedom for a vertical folded dipole.

This shows how the 15mm × 5mm folded dipole conductors join at the ends. The element mount on the right is a repurposed support for 10mm hydraulic fluid lines.

Modeling Results

I modeled the antenna with the AO 9.50 Antenna Optimizer program using a segmentation density of 28 segments per halfwave. Forward gain includes mismatch and conductor losses. F/R is the ratio of forward power to that of the worst backlobe in the rear half-plane.

Frequency  Impedance    SWR   Mismatch  Conductor   Forward    F/R
   MHz        ohms             Loss dB   Loss dB   Gain dBd     dB
    88     344 + j32    1.18     0.03      0.01      7.82     32.24
    89     355 + j18    1.19     0.03      0.01      7.94     34.01
    90     362 + j3     1.21     0.04      0.01      8.08     34.47
    91     363 - j10    1.21     0.04      0.01      8.22     34.44
    92     361 - j22    1.22     0.04      0.01      8.36     34.46
    93     355 - j31    1.21     0.04      0.01      8.52     34.53
    94     345 - j37    1.20     0.04      0.01      8.67     34.33
    95     337 - j39    1.18     0.03      0.01      8.83     34.26
    96     327 - j40    1.17     0.03      0.01      8.99     34.33
    97     318 - j39    1.15     0.02      0.01      9.14     34.64
    98     308 - j36    1.13     0.02      0.01      9.29     34.42
    99     296 - j31    1.11     0.01      0.02      9.42     34.27
   100     284 - j22    1.10     0.01      0.02      9.52     34.10
   101     271 - j8     1.11     0.01      0.02      9.59     34.08
   102     263 + j15    1.15     0.02      0.03      9.61     34.18
   103     268 + j39    1.19     0.03      0.03      9.56     34.45
   104     289 + j56    1.21     0.04      0.04      9.43     34.54
   105     321 + j43    1.17     0.03      0.05      9.21     33.97
   106     315 - j6     1.05     0.00      0.06      8.86     33.23
   107     260 - j31    1.20     0.04      0.09      8.36     32.11
   108     191 - j41    1.62     0.25      0.13      7.66     30.38

Antenna File

Körner 15.12
Free Space Symmetric
98 MHz
18 6061-T6 wires, meters
r0 = 1.015		; reflector halflengths
r1 = 1.006
r2 = .985
x0 = 0			; reflector positions
x1 = 0
x2 = .11
z1 = .326		; reflector heights
z2 = .73
de = .805		; driven element halflength
de1 = .431		; driven element positions
de2 = .546
d1 = .657		; director halflengths
d2 = .659
d3 = .65
d4 = .617
d5 = .615
d6 = .608
d7 = .635
d8 = .624
d9 = .565
p1 = .654		; director positions
p2 = .827
p3 = 1.086
p4 = 1.41
p5 = 1.629
p6 = 1.888
p7 = 2.376
p8 = 2.98
p9 = 3.73
1   x2  -r2 -z2    x2  r2 -z2   .01		; reflectors
1   x1  -r1 -z1    x1  r1 -z1   .01
1   x0  -r0   0    x0  r0   0   .01
1   x1  -r1  z1    x1  r1  z1   .01
1   x2  -r2  z2    x2  r2  z2   .01
1  de1  -de   0   de1  de   0   .01148		; driven element
1  de2  -de   0   de2  de   0   .01148
1  de1  -de   0   de2 -de   0   .015
1  de1   de   0   de2  de   0   .015
1   p1  -d1   0    p1  d1   0   .01		; directors
1   p2  -d2   0    p2  d2   0   .01
1   p3  -d3   0    p3  d3   0   .01
1   p4  -d4   0    p4  d4   0   .01
1   p5  -d5   0    p5  d5   0   .01
1   p6  -d6   0    p6  d6   0   .01
1   p7  -d7   0    p7  d7   0   .01
1   p8  -d8   0    p8  d8   0   .01
1   p9  -d9   0    p9  d9   0   .01
1 source
Wire 7, center

The 11.48mm diameters are cylindrical equivalents of the 15mm × 5mm rectangular folded dipole conductors. The 15mm conductors are short tubes that connect the folded dipole ends. Peter says to measure the driven element length to the element ends, not to the centerline of the short tubes.

Sensitivity Analysis

The following table shows the degradation of average performance over 88, 93, 98, 103, and 108 MHz in dB when changing a single dimension by ±3 mm (±1.5 mm for symbols that represent element half-length).

Symbol    Gain    F/R
    r0    0.00   0.02
    r1    0.00   0.01
    r2    0.00   0.01
    x0    0.00   0.00
    x1    0.00   0.00
    x2    0.00   0.02
    z1    0.00   0.00
    z2    0.00   0.03
    de    0.00   0.03
   de1    0.00   0.05
   de2    0.01   0.08
    d1    0.01   0.03
    d2    0.00   0.04
    d3    0.00   0.07
    d4    0.00   0.09
    d5    0.01   0.05
    d6    0.00   0.05
    d7    0.04   0.19
    d8    0.01   0.04
    d9    0.00   0.06
    p1    0.02   0.05
    p2    0.01   0.09
    p3    0.01   0.09
    p4    0.00   0.01
    p5    0.00   0.03
    p6    0.00   0.04
    p7    0.01   0.08
    p8    0.00   0.09
    p9    0.00   0.03

Gallery

This is Georgiy Markiev's 15.12 in Petrozavodsk, Russia. It rotates here.


May 12, 201388–108 MHz