Test, measure balun, and compare antenna baluns or balums

Home ]Up ]

Properly Testing Baluns

 

Related pages:

 Sleeve baluns   
Balun and Transformer Core Selection       
4:1 Balun
Analysis
   
Verticals and Baluns   
Antenna Tuner Baluns   
Common mode current   
Common-Mode Noise   
toroid balun winding   
Steel wool balun

Skip down this page to
actual dipole measurements

 

 

These devices are called baluns or a balun. They are not called a balum or
balums. I include the words balum or balums only to aid search engines, since
some people call them “balums”.

Balanced and Unbalanced

Many articles and
technical sources on baluns or balun design ignore voltage, focusing
only on current. Focusing only on current is a serious oversight that
can result in defective system design.

Equal currents alone do not assure balance, just as SWR alone is not a
confirmation of proper system operation.

Properly working systems, both balanced and unbalanced, have exactly equal and
opposite currents in each conductor.   VOLTAGE
distribution determines if a system is balanced or unbalanced.

  • Perfectly balanced line or perfectly balanced ports have equal and opposite voltages
    from each conductor or terminal to an earth-neutral reference
    ground. Current must be equal and opposite at every point in the
    system, and voltage must also be equal and opposite on each
    conductor at every point in the system to be perfectly balanced!
  • Perfectly unbalanced lines or perfect unbalanced ports have zero
    potential (volts) from the shield or
    ground terminal to an earth-neutral reference ground. This is why
    coaxial connectors and shields can be directly grounded or left
    floating from ground in a properly functioning system without
    causing changes of any kind in system behavior. Unbalanced lines and
    ports must have equal and opposite currents on the shield and the
    center conductors, even though shield voltage to earth neutral
    ground reference is zero.
  • Balanced and unbalanced port and lines have equal current levels
    flowing opposite direction into and out of each conductor (in coax
    the inside of the shield is one conductor, the center conductor is
    the other). The voltage from each terminal or conductor to earth or
    surroundings and the construction defines them.

    Coaxial and
    Shielded lines

Balance and need for a balun is not caused by or cured by
resonance or SWR. A good match does not mean good balance or lack of common
mode, nor does a bad match mean the system will have common mode or balance
issues.  Lack of resonance does not cause imbalance or common mode, and
resonance does not prevent common mode or mitigate the need for a balun. The
most common cause is improper treatment of balanced to unbalanced transitions,
but common mode can come from many other causes.

 

Balun and Unun Testing (Important!)

SWR tests are easy but SWR tests are incomplete tests. Low SWR means a balun
or unun might be good. Low SWR does not mean a system
or device is good.

A balun or unun
with low SWR over a very wide frequency range might not be a good balun or unun anywhere! As a matter of fact, a balun
that isn’t even a balun, one that always forces a system into severe common mode
problems, can test perfectly on a simple SWR to load or SWR to antenna testing.
A balun can still make over-the-air contacts, even when non-functional as
a balun.

SWR, return loss, or input R and X with a floating resistor or antenna tell us one thing and only one thing.
Floating fixed load tests only tell us input port impedance. SWR with a floating
load like a floating resistor provides no meaningful indication of balun function
or effectiveness. The most common way balun design mistakes get
into public domain is by improper or incomplete testing.     

Basic Balance Quality Test for Current Baluns

A Guanella or current balun’s functional quality can be evaluated by moving a ground (common with signal
source) to points Test 1, Test 2, and Test 3 (figure 1) while watching voltages or currents in the load,
or even by watching input SWR.
As a current balun becomes better, it will show less input SWR change
as the test ground is moved between test points 1, 2, and 3. This is a very
minimal test! It is the very least that should be done and still does not
quantify the device for loss .

A reasonably good balun
or unun will show nearly infinite input SWR when the load side is open or short
circuited, and very low SWR when properly terminated. The open and short test,
although crude, is important as a rough test.

A good current balun will also show very little SWR change, as the ground
wire is moved from test point to test point, when terminated in the test below.
It is notable that a good current
or choke balun will function perfectly well as an unun or common mode isolation.
An unun will normally not function as a balun, however.

The sum of R1 and R2 are selected to equal system load impedance.  In
the example below, R1 and R2  are for a 4:1 current balun with a 50-ohm unbalanced
port and a 200-ohm
balanced port (4:1 balun). The total resistance of R1 and R2 has to equal
balun impedance, and R1 and R2 must be equal. This means if you test a 50 ohm
1:1 balun, R1 and R2 are each 25 ohms. Keep the leads all short! 

Note: A low loss network is always bilateral, it will have the
same impedance ratio in either direction. Note this is NOT
always true in lossy systems!  Lossy systems are
not necessarily bilateral. You’ll see why this is important later.

Balun or CMC Test

figure 1 

Note: A 50 ohm balun can be tested using a
pair of 25-ohm low-inductance resistors in place of the 100-ohm resistors used
in the 4:1 test. In
similar fashion, a 9:1 would use 225-ohm (220-ohm is perfectly good) low
inductance carbon or metal resistors for R1 and R2. Leads MUST be
short!

Current baluns will test with low SWR regardless of where the
jumper is place. These baluns are also suitable when used as unun’s or as a
combination unun and common mode choke

Voltage baluns will test with low SWR when the jumper is off or
when the jumper is at position B. SWR will be equally high at A or C with good
voltage baluns

Unun’s  specific to unbalanced-only operation will test low
SWR only with the ground side grounded or with no load jumper at all.

How It Works

A voltage balun will always force the two output terminals to have equal
out-of-phase voltages from each output terminal to ground. This is the same as
having equal impedances from each side to ground. Since impedances are equal and
voltages are out-of-phase, the center tap of the resistors is an electrically
zero voltage point. Grounding or floating the resistor center tap has no effect,
while grounding either end (A or C) should cause a very high SWR. Similarly,
both resistors could be moved to parallel connections and placed from only one
terminal to ground. The SWR should be the same or very similar and the SWR
should be very low with a parallel connection in a good voltage balun.

Any test of a balun or unun without doing open, short, and load on all and the
balance test with the balun really does not mean much. Anything from a
completely non-functional device to a nearly perfect device can pass SWR-only
fixed load testing. The A,B,C wire is the very minimum acceptable with a balun,
and it is a good idea to include an open and short or mistermination SWR test.

A mistermination test is made by making loads with high and low 2:1 VSWR. An
example would be a 400-ohm load and a 100-ohm load test on a 200-ohm output
balun, while observing input SWR. An ideal balun would show 2:1 SWR on both.    

voltage balun test 

 

Current balun’s are ground independent  at the output, isolated by the
common mode impedance. They can also serve as unun’s and common mode chokes.

Link to current balun

 

Power Testing

The same test above can be used at high power, with suitable resistors, to roughly evaluate
balun power
handling in ideal systems. The balun should not overheat at full power in the
experimental worse case jumper position. Heating limits in an HF balun,
regardless of load impedance, is almost exclusively due to losses in the core.
This is true for any type of balun in the real world.  Do not confuse
heating with flux-saturation of magnetic materials. Flux saturation does not
necessarily cause heating, it simply means the core cannot carry any more flux
and any additional current causes a reduction in inductance. Virtually all HF
cores heat from the loss tangent of the core. The loss tangent causes the core
impedance to appear as a complex combination of resistance and reactance. The
resistive part represents the dissipative characteristics, while reactance is
lossless. A bench load jumper power test is much better than no
test at all. This static load test does not mean the balun will work in all real
world conditions
!!

All baluns, even transmission line baluns, can have significant core flux
under real-world loads. Many people claim heat indicates saturation, but that is
not true. Heating does not indicate saturation. Core flux density and high loss
tangent are the primary loss or heating
mechanisms in a balun core.

See 4:1 balun
page
for an analysis of winding common mode currents, which can be
represented by voltages across the winding.  

       

Improved Impedance, Loss, and SWR Test Methods 

Transmitting baluns and ununs should be evaluated by temperature rise. This
should always be part of testing. It should be done over the entire frequency
range at the widest specified load impedance range or balance range. As with the
SWR test, it is possible to produced a useless result. The load has to be of the
load characteristic specified or normally assumed in the device application.

For example,  if we simply use a floating or one side grounded 50-ohm
load to test a 1:1 balun. it is possible to have a 1:1 current balun completely
pass a 5kW test, yet it can fail in 100-watt service!

We have now seen
three severe shortfalls with commonly accepted tests.

  1. A simple load SWR test does not prove the
    balun or unun under test is actually working properly
  2. Accepting the desired power level to a test load without undue heating does not mean it is a good
    balun (or unun)
  3. Accepting power in a test condition does guarantee a device can handle
    that power in a real world system

Choke Impedance

This data shows the common mode impedance of the balun. In general,  the
highest impedance at the operating frequency or over the operating frequency
range is desirable. This impedance isolates the antenna from undesired signals
on the feed line shield, and prevents antenna terminal voltage from exciting the
feed line with unwanted currents. Common mode impedance is directly related to
the care in design and construction. 

Some articles set standards
for “good” common mode choke impedance. While this seems to set definitive
design standards, targeting a specific minimum impedance goal is generally
meaningless in the real world. Pay attention to
the common mode choke
page.  Similar common mode impedance rules also apply to current baluns.

Pay particular attention to the impedance peak in air-core baluns. For
narrower-band applications they make excellent baluns if load common mode
impedance is not capacitive or the balun/choke is nearly at resonance. Air core
chokes are generally acceptable over at least a 2:1 frequency range, sometimes
much more. Once again suitability depends on the particular system.

Measuring Common Mode Impedance

 

Common mode measurements

 

The required common mode impedance is dependent on the exact application, and
can vary from zero to a few thousand ohms.

Balun and Unun Loss Measurements

With any balun other than a 50-ohm or 75-ohm 1:1, power loss measurements are
difficult. Almost any simple measurement method has serious flaws.

Measuring output terminal voltage, calculating power with E^2/R = P on the load
side, creates multiple problems. Let’s assume a properly calibrated Bird meter
with Birds stated accuracy of 5% of full  scale anywhere on the scale, set
at full scale, on the input side. We have that 5% to contend with.

We
also have the voltmeter tolerance, commonly a few percent, but the voltage is
squared! The 5% voltage error is thus squared, and now we have to worry about
load impedance error. The system also has two output terminals, while we hope
the terminal voltages are 180-degrees out-of-phase we most likely are not sure
of that. Oscilloscopes are out of the question, we have to use some sort of
accurate vector voltmeter or calibrated selective level meter.

Probably
the best inexpensive home measurement technique would be using back-to-back
identical devices. We can convert up to the high impedance in one balun or unun
and back again in an identical reverse connected unit. This method has clear
advantages, but also has some disadvantages.

For advantages, the
back-to-back system allows use of 50-ohm meters at each end, or S21 and S12
measurements with network analyzers, for loss and mismatch errors.
Taking
half the measured loss through two identical devices can get us very close to
the real loss **if** both the baluns and ununs are reasonably low loss and the
baluns are properly balanced. As the loss goes up, measurement errors also
increase above basic calibration errors.       

Back to back balun test 

   Transmission loss through a device, as in the test above, may
not give the exact power loss. It is, however, close enough to spot any
significant problems. It is infinitely better than no measurement at all. .  

(being edited 2/12/2019)

Measured Impedance

Common-mode impedance varies with frequency, as the following Smith
Chart common mode impedance plot shows:

air core balun

 

Unless the winding style and physical size places unwanted series resonances
outside desired bands, an air-core balun is generally good for a maximum
frequency range of three or four-to-one. An air core choke is generally useful when common mode impedance is inductive
or the common mode system impedance has same sign as the choke or balun’s common mode impedance. If we are not careful
with system design, an air-core balun can make system balance worse!

In contrast a good core-type balun looks like this:

ferrite core balun

 

 

SWR

The lowest SWR is desirable, although any mismatch can often be compensated
by adjustment of antenna dimensions. This SWR mainly comes from incorrect wire
impedance inside the balun. It may be caused by excessive length of internal
leads, or incorrect cable or winding impedance inside the balun. It generally is
a construction related problem.

Measured SWR and Choking Impedance

The following data is measured using a currently certified network analyzer
with low capacitance test fixture:

Centaur DXE W2DU(1) W2DU(2) Force 12 Scramble Solenoid W2AU
volt
Choke
Impedance
        Note 2
R+X@1.8   84 129j 554 1.4k j 378 617j 230 325j 169 286j 1.67 245j 1 +1.18k j .488 5j
         
R+X@15   3.76 2.7k j 835 -1.84k j 727 -611j 761 -10j 883 -105j 11.97 -850j 62 -895j 1.36 42j
         
R+X@30   143 -729j 153 -893j 284 -440j 610 -296j 538 -381j 73 162j 68 -168j 8.2 68j
         
Max Z@F   17 MHz 6.65 MHz 7.16 MHz 15.3 MHz 13.24 MHz 6.42MHz 4.25 MHz 60 MHz
R+X at max Z   5.87k -943j 4.5K -340j 1.3K -13j 770 -20j 914 2.25j 42.7k 0j 34K 37K j 75 286j
         
Min Z@F             27.68MHz 11.7Mhz  
R+X at min Z             10 -2j 198 -252j  
         
SWR          
F SWR=1.25   6.8 MHz 65 MHz 21.15 MHz   20.2 MHz note 1 note 1 20.9 MHz
1.8MHz 1.07 1.02 1.03   1.03   1.43
15MHz   1.58 1.04 1.17   1.18     1.2
30MHz 2.16 1.08 1.37   1.39   1.35

note 1: SWR not measured because construction and cable type affects SWR

note 2: This is a W2AU voltage balun. It is only shown as a example of poor
shield isolation offered by voltage baluns if the antenna is not perfectly
matched to the balun with the feed line exiting the balun at right angles. This
type of balun is unsuitable for non-symmetrical systems such as off-center-fed
antennas, verticals, or antennas with the feed line paralleling the antenna (even
at a fairly large distance). 

The W2DU baluns were manufactured by Unidilla. (1) is a Maxi balun and 2 is a
10-40 meter model.

The DX Engineering balun is the dipole balun type DXE-BAL050-H05-P

The scramble-wound choke was about 20 feet of RG8X in a six-inch diameter
“bundle”.

The solenoid balun was about 60 feet of RG-8X on a 4″ PVC thin wall
drain pipe coated with rubberized roofing tar.

Power Dissipation and feed line Common-mode Current Estimates

Note: This section revised 1/2/2003 to correct model
error. Please report any other errors to me!

Balun power dissipation is estimated using Eznec to simulate a perfectly balanced
dipole. 

Here is a copy of the model used:

160m balun EZ

Please be aware I made no special effort to create a “bad
antenna” other than I intuitively understand what the worse case condition
of feed line length would normally be and I selected that length. I dropped the
wire representing the feed line vertically from the center of a perfectly
balanced dipole, and made that wire 1/4 wl long. 

 Here is a view of the model with no balun:

Dipole balun current common mode

SWR is 1.46:1 power is 1500 watts

Currents at 1500 watts are approximately:  

5.65 amperes into wire 1

2.63 amperes into wire 2

3.73 amperes into wire 3 (coaxial cable shield)

 

 

 

 

 

 

 

Using this model (a 135 foot high 160-meter dipole) we can add each of the
balun impedances in the coaxial cable shield and estimate feed line current and
power dissipated in the balun:

Centaur DXE W2DU(1) W2DU(2) Force 12 Scramble Solenoid W2AU
0.90 amp 0.12  amp .25 amp .47 amps .57 amps .87 amps .16 amp .4 amps
69 watts 8.5 watts 25 watts 51 watts 55 watts 1.3 watts

(26w TL loss)

.03 watt (74w TL loss) 34 watts

From this we can see the following:

  • Adding more beads is very inefficient. W2DU(1) has about twice the
    beads as W2DU(2), yet it has 53% of the current and 49% of the power
    dissipation! This does increase power rating by a factor of four, but it is
    still too low to prevent balun heating. 
  • The solenoid has (by far) the lowest choking or balancing power loss, but it is 60-feet
    of RG-8X wound on a 4″ diameter form in a single layer. It adds
    transmission line loss of 74 watts, but since the area is so large it will
    not overheat.
  • The scramble wound balun has inadequate impedance since wire length
    is only 20 feet. It has low loss, but it really isn’t acting like a balun
    (at 6.5 MHz it would be super, having 42K ohms of impedance).
  • Of the baluns above, only the DXE, scramble wound, and solenoid would not
    be overheated in normal operation for continuous Morse CW transmissions.

Perspective of Heat

Think about the heating this way. Imagine you had a 60-watt light bulb.
Nearly all of the applied power is turned to heat, and the surface area of the
bulb and conduction through the base radiates that heat. Would you hold a 60
watt light bulb?

Now picture a balun core with a surface area a fraction of the size of the
light bulb. This core area is enclosed in a case that often has poor thermal
conductivity. 

  • The large air-core baluns mainly produce heat from transmission line
    losses. 
  • W2DU and other style baluns mainly have CORE losses. Transmission line
    losses are negligible since the transmission lines are very short. 

Currents

Every ampere of current not going onto the cable shield goes to
the dipole’s shield-fed leg! The total is not the exact sum, because of
phase differences. Here is a view of currents in the dipole with
the DXE balun:

Dipole feedline balance

Currents are:

Wire 1   4.52 amperes

Wire 2  4.52 amperes

 Wire 3    .12 ampere

Remember power radiated increases by the square of current. The feed line
shield current is now .12A compared to 3.73A without a balun!  The feed line
radiates about .1% of the power it radiated without a balun. While pattern
distortion on transmit may not hurt, the feed line radiation probably aggravates
RFI and allows noise to couple into the antenna when
receiving.   

 

 

Remember this model is worse case in the NO BALUN condition.  This
does not mean every system or most systems will be this bad. This example was
only intended to show how bad balance can be and how much power baluns (even
with a matched load) can dissipate!

Ladder Line Voltage and Current tests

The data below was taken with a half-wave 80 meter doublet about 120 feet or so
above ground. This doublet is suspended between two towers and is suspended by
rope for at least 30 feet from each tower. Nothing is within 100 feet of the
doublet. feed line is a vertical drop of Wireman “heavy duty” ladder line, twisted
to maintain electrical balance and reduce wind oscillation. 

test sample line voltage and current

 

Ladder line sample unit

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7005 voltage test

   

 

 

 

 

 

 

 

In the table below, “D C” is a standard dual-core two-transmission line
balun. It has two independent magnetic paths for each balun transmission line. 

Look
at how terrible balance is on a single-core 4:1 “current balun” below.
A 4:1 single-core “current balun”, as presented in “Baluns and Unun’s” and used
in some commercial designs, forces a system into gross voltage unbalance. It is
not a balun. This is what happens when we offer a balun design without
understanding or measuring balance.

 

www/images/Baluns/XLS/balun5m.xls

Date 7/9/2010                
      Voltage in volts, current in milliamperes               Z1 Z2
Balun type Frequency Voltage A Voltage B V Phase Current A Current B I Phase V Unbal I unbal note
DualCore
200 ohm res
3.5 6 5.5 -2 63.33 63.33 0 0.54 0.00 floating 94.74 86.84 181.6
D C
resistor 200
3.5 5.7 5.7 -3.5 63.00 63.67 0.5 0.35 0.87 CT Ground 90.48 89.53 180.0
D C
resistor 200
14 4.55 4.65 -5 55.00 55.00 -4.5 0.41 4.32 floating 82.73 84.55 167.3
D C
resistor 200
14 4.55 4.65 -6.5 55.00 55.00 -4.5 0.53 4.32 CT Ground 82.73 84.55 167.3
Single Core
4:1 200
3.5 2.85 8.75 0 63.33 63.33 0 5.90 0.00 floating 45.00 138.16 183.2
Single Core
4:1 200
3.5 3.7 7.1 -32 41.67 78.33 -30 4.42 47.11 CT Ground 88.80 90.64 179.4
Single Core
4:1 200
14 1.6 12 120 65.00 75.00 36 12.87 44.30 floating 24.62 160.00 184.6
Single Core
4:1 200
14 5 5.75 -4 58.33 70.00 -30 0.84 35.07 CT Ground 85.71 82.14 167.9
Unmatched
source cannot be used for power, balance only
                   
D C
unmatched
3.5 6.25 7.75 -14 88.33 90.00 1 2.26 2.28   70.75 86.11 156.9
D C
unmatched
3.7 4.085 4.265 -26 98.33 100.00 1 1.89 2.40 lowest Z 41.54 42.65 84.2
D C
unmatched
4.5 3.1 2.8 -2.5 19.00 19.00 -1.5 0.33 0.50 highest Z 163.16 147.37 310.5
                     
D C
unmatched
5.8 3.475 5 -11 120.00 120.00 4.5 1.72 9.42 low Z 28.96 41.67 70.6
                     
D C
unmatched
7 7.5 6.25 1 20.33 21.67 -2 1.26 1.52   368.85 288.46 657.3
D C
unmatched
7.4 8.5 10 4 6.33 6.75 6 1.63 0.80 highest Z 1342.11 1481.48 2823.6
                     
D C
unmatched
14 2.6 2.1 -22 61.67 62.33 -3.5 1.02 3.84   42.16 33.69 75.9
D C
unmatched
14.2 5.75 4.75 -12 63.33 64.00 -2.2 1.48 2.53 low Z 90.79 74.22 165.0
                     
D C
unmatched
21 2.9 3.5 5.5 51.67 50.00 -2.5 0.67 2.77   56.13 70.00 126.1
                     
D C
unmatched
28.85 3.75 9.5 30 113.33 160.00 16 6.53 59.86 bad hand effect 3-4″ 33.09 59.38 92.5
                    from balun winding
Single
core 4:1
3.5 8 2.3 2 25.67 18.67 6 5.70 7.37   311.69 123.21 434.9
Single
core 4:1
3.77 5 1 -9 27.67 23.33 -11 4.02 6.52   180.72 42.86 223.6
Single
core 4:1
4.5 9.5 3.75 -1.5 4.33 3.00 130 5.75 6.67   2192.31 1250.00 3442.3
                     
Single
core 4:1
5.8 4.85 1.85 -10 35.00 31.67 6 3.05 4.82   138.57 58.42 197.0
                     
Single
core 4:1
7 8.1 3.7 36 33.33 21.33 -24 5.55 16.34   243.00 173.44 416.4
Single
core 4:1
7.4 10.25 3.25 16 4.67 1.10 -120 7.18 5.30   2196.43 2954.55 5151.0
                     
Single
core 4:1
14 5.6 2.6 155 46.67 58.33 -40 8.03 37.55   120.00 44.57 164.6
Single
core 4:1
14.2 10.25 6.25 140 50.00 63.33 -90 15.57 80.69   205.00 98.68 303.7
                     
Single
core 4:1
21 3.4 4.4 80 50.00 50.00 34 5.07 29.24   68.00 88.00 156.0
                     
Single
core 4:1
28.85 1.75 3 20 32.00 50.00 27.5 1.48 26.18   54.69 60.00 114.7
                     
Balun type Frequency Voltage A Voltage B V Phase Current A Current B I Phase V unbal I unbal note
Matched to
gen
                   
Johnson MB 3.5 5.75 7.25 -3.5 81.67 81.67 -2.5 1.55 3.56   70.41 88.78 159.2
Johnson MB 3.77 3.7 3.4 -16.5 75.00 76.67 -3 1.06 4.31   49.33 44.35 93.7
Johnson MB 4.5 13.75 16.25 8 62.00 68.67 -22 3.26 25.78   221.77 236.65 458.4
                     
Johnson MB 5.8 4 5.25 -5.5 118.33 120.00 0 1.33 1.67   33.80 43.75 77.6
                     
Johnson MB 7 16 15.75 3 46.67 47.33 15.5 0.87 12.69   342.86 332.75 675.6
Johnson MB 7.4 19.5 21.25 -0.8 14.67 14.00 -26 1.77 6.48   1329.55 1517.86 2847.4
                     
Johnson MB 14 3.4 3.5 -9 93.33 88.33 1.5 0.55 5.54   36.43 39.62 76.1
Johnson MB 14.2 6 6.5 -3 76.67 72.00 4.5 0.60 7.47   78.26 90.28 168.5
                     
Johnson MB 21 8.25 6 25 130.00 103.33 6.5 3.79 29.73   63.46 58.06 121.5
                     
Johnson MB 28.85 3.75 6.25 22 96.67 108.33 6 3.11 15.84 hand effect 38.79 57.69 96.5
                     
ATR30 3.5 5 7.5 -5 78.33 83.33 9 2.56 13.63   63.83 90.00 153.8
ATR30 3.77 3.2 3.4 -14 78.33 77.33 7 0.83 9.56   40.85 43.97 84.8
ATR30 4.5 17.5 12.5 7.5 68.33 68.33 3.5 5.36 4.17   256.10 182.93 439.0
                     
ATR30 5.8 4.3 6 2 130.00 130.00 3 1.71 6.81   33.08 46.15 79.2
                     
ATR30 7 16.5 15 14 50.00 45.00 2.5 4.12 5.41   330.00 333.33 663.3
ATR30 7.4 17.25 21.25 28 15.00 14.00 40 10.09 9.96   1150.00 1517.86 2667.9
                     
ATR30 14 3.5 3.25 -18 96.67 95.00 2.5 1.08 4.50   36.21 34.21 70.4
ATR30 14.2 6.5 5.75 -6 78.33 76.67 1.5 0.99 2.63   82.98 75.00 158.0
                     
ATR30 21 6 7.5 3 113.33 110.00 1.5 1.54 4.43   52.94 68.18 121.1
                     
ATR30 28.85 4.65 4.75 15 110.00 95.00 3 1.23 15.93 hand effect 42.27 50.00 92.3
                     
                     
D C on                    
ATR30 3.5 5.75 7.4 -7 81.33 82.67 7.5 1.83 10.81   70.70 89.52 160.2
                     
D C on 7 16.5 14.5 11 46.67 48.33 3 3.58 2.99   353.57 300.00 653.6
ATR30                    
  14 4.7 3.5 -14 95.00 95.00 1.5 1.55 2.49   49.47 36.84 86.3