Title: A guide to the selection of flexible and semiflexible R.F. coaxial cable
Author: Times Microwave Systems
Company: Times Microwave Systems
1. In choosing the appropriate cable construction for a particular
application, the cable characteristics listed below are to be
considered:
- A-Characteristic Impedance
- B-Impedance Uniformity (VSWR)
- C-Capacitance
- D-capacitance & Impedance Stability
- E-C.W./. Power Rating
- F-Maximum Operating Voltage
- G-Attenuation
- H-Attenuation Uniformity
- I-Attenuation Stability
- J-Velocity of Propagation
- K-Electrical Length Stability
- L-Pulse Response
- M-Shielding
- N-Cut-Off Frequency
- O-Self-Generated Cable Noise
- P-Operating Temperature Range
- Q-Flexibility
- R-Environmental Resistance
- S-Gable Strength
- T-Qualification & UL Approval
2. It should be noted that the stipulation of materials and dimensions
does not guarantee that each lot of cable will have identical
mechanical or electrical characteristics. Different types of
manufacturing equipment or different manufacturing conditions can
give substantially different performance characteristics. For
example, VSWR and attenuation uniformity may have to be specified
over a band of frequencies. See Table I for formulae describing
cable characteristics.
- A. CHARACTERISTIC IMPEDANCE
- 1. The average characteristic impedance of a coaxial cable is determined
by the ratio of the inner diameter of the outer conductor to the
outer diameter of the inner conductor and by the dielectric constant
of the insulating material between the conductors. Select impedance
to match system requirements.
- 2. The most common values for coaxial cables are 50, 75, and 95 ohm.
Other impedances from 35 to 185 ohms are available in the coaxial
configuration.
- 3. The most common values for balanced lines are 75, 95, and 125 ohms.
- 4. Note that actual input impedance at a particular frequency may be
quite different from the characteristic, or surge impedance of the
cable due to reflections in the line. The VSWR (Voltage Standing
Wave Ratio) of a particular length of cable is an indicator of the
difference between the actual input impedance of the cable and its
average characteristic impedance.
- B. IMPEDANCE (VSWR) UNIFORMITY
- 1. The VSWR of a cable assembly is the summation of reflections due to
the connectors, the connector termination technique and the cable.
The VSWR of the cable is the summation of random and periodic
reflections within the cable, most commonly caused by variations
within the processing equipment. The VSWR will vary with frequency.
A common occurrence is the VSWR "spike" which is illustrated in
Figure 1. If required, cables can be procured in specified lengths
to a maximum VSWR requirement on a swept basis. If a very tow VSWR
is required, it may be necessary to procure complete assemblies
verified on a swept basis.
- C. CAPACITANCE
- 1. Select to meet system requirements.
- 2. Capacitance values (shown below) for standard coax lines depend only
on cable impedance and dielectric material.
TABLE II
NOMINAL CAPACITANCE CABLE TYPES
_PF/FT_
30.8 50 Ohm Solid Polyethytene
25.4 50 Ohm Foam Polyethylene
29.4 50 Ohm Solid PTFE
20.6 75 Ohm Solid Polyethylene
16.9 75 Ohm Foam Polyethylene
19.5 75 Ohm Solid PTFE
16.3 95 Ohm Solid Polyethylene
13.5 95 Ohm Air space Polyethylene
15.4 95 Ohm Solid PTFE
10.0 125 Ohm Air space Polyethylene
6.5 185 Ohm Air space Polyethylene
- D. CAPACITANCE & IMPEDANCE STABILITY
- 1. The capacitance and impedance of long lengths of cable will exhibit
very little change over their operating temperature ranges less than
2%. Semiflexible foam dielectric cables normally exhibit the least
change. In short cable lengths at frequencies over 1000 MHz, the VSWR
can vary significantly if dielectric movement at the connector
interface occurs.
- E. AVERAGE C.W. POWER RATING
- 1. Tables III through X serve as a guide to the average power ratings of
standard flexible and semiflexible coaxial cables under the conditions
noted.
- 2. These power ratings must be derated by correction factors for the
ambient temperature, altitude and VSWR encountered in a particular
application. High ambient temperature and high altitude reduce the
power rating of a cable by impeding the heat transfer out of the
cable. VSWR reduces power rating by causing hot spots.
- 3. To select the cable construction for a particular requirement,
determine the average input power at the highest frequency from
system requirements. Then determine the effective average input power
as follows:
Effective Power = (Average Power x (VSWR correction))/((Temp. correction)x(Alt. correction))
Temperature and altitude corrections are shown on Figures2 and 3.
VSWR correction factor =
1/2(VSWR + (1/VSWR)) + 1/2 K1 (VSWR (1/VSWR))
where k1 is shown in Figure 4. Select a cable from Table III rated at this
effective power level.
- F. MAXIMUM OPERATING VOLTAGE (A.C.)
- 1. A cable cannot operate continuously with corona which causes noise
generation, dielectric damage and eventual breakdown. The maximum
operating voltage must be less than the corona level
(extinction voltage) of the cable. This should not be confused with
the dielectric strength of the cable, which is a test voltage which
is applied for one minute only during manufacture .
- 2. Maximum operating A.C. (RMS) voltage levels or peak voltage are given
for each construction in the Cable Data Section of this catalog. The
maximum permissible D.C. voltage level is conservatively 3 times the
A.C. level.
- 3. To select a cable for a particular application, determine the actual
RMS (peakl.4) or peak voltage (RMS x 1.4) from system requirements.
Then determine the effective input voltage by multiplying the actual
input voltage by the square root of the VSVVR.
Effective voltage = (Actual voltage x VSWR^1/2)
Select a cable with a maximum operating voltage greater than the effective
RMS voltage. Note that the maximum operating voltages are listed in the
cable data section.
- 4. The maximum operating voltage of airspace dielectric tubular sheathed
cables can be increased by pressurizing with dry air or high
dielectric strength gases. See Figure 5 for the ratio improvement
which can be obtained with dry air and sulphur hexafluoride.
- G. ATTENUATION
- 1. Tables III through X serve as a guide to the attenuation
characteristics of the different standard coaxes at a temperature of
20 degrees C.
- 2. Attenuation must be modified by a correction factor for the ambient
temperature. Elevated temperature increases cable attenuation by
increasing the resistivity of the conductors and by increasing the
power factor of the dielectric (see Figure 6 for correction factor).
- 3. To select a cable construction for a particular application, determine
the desired attenuation at the highest frequency from system
requirements. Determine the corrected attenuation by dividing the
desired attenuation by the temperature correction factor. Choose the
smallest cable meeting the corrected attenuation value from the tables.
- H. ATTENUATION UNIFORMITY
- 1. The attenuation of any cable may not change uniformly as the frequency
changes. Random and periodic impedance variations give rise to random
and periodic attenuation responses. Narrow-band attenuation "spikes"
such as that shown in Figure 8 can occur. If required, cables can be
procured in various lengths where a maximum attenuation variation
from nominal is specified on a swept basis.
- I. ATTENUATION STABILITY
- 1. The attenuation of braided cables can increase with time and flexure.
The change with time can be caused by corrosion of the braided shield,
by contamination of the primary insulation due to jacket plasticizers,
and by moisture penetration through the jacket. (Vapor penetration
occurs through ail plastic and elastomeric materials.) Attenuation
degradation is more pronounced at frequencies above 1 GHz. Cables
having bare copper and tinned copper braids exhibit far greater
attenuation degradation than do cables having silver plated copper
braids. These effects are illustrated in Figures 7, 9 and 10.
2. The following guidelines apply:
a. Tin plated braids--Below 1 GHz cables manufactured with tin plated
braids have t 5-20% more attenuation than bare copper braids in the
"as manufactured" condition, but are more stable than bare copper
braided cables.
b. Foam polyethylene--flexible braided cables with foam polyethylene
dielectrics have approximately 15% less attenuation than solid
polyethylene cables of the same core size and impedance. However,
the attenuation of foam polyethylene cables will increase if
moisture is absorbed. In high humidity environments, the foam
dielectric flexible cables should, not be used above 200 MHz.
Avoid the use of cables with the Type I PVC jackets as they have
contaminating type plasticizers which will cause an attenuation
increase. All of the above problems are minimized or eliminated by
the use of the semiflexible cables. Foam polyethylene dielectrics
may be used up to 12 GHz when protected from moisture by the
seamless aluminum tube sheath construction.
3. For flexible cables in extreme environmental conditions, a protected
braid is recommended.
J. VELOCITY OF PROPAGATION
1. The velocity of propagation of cable is determined primarily by the
dielectric constant of the insulating material between the conductors.
This property is usually expressed as a percentage of the velocity of
light in free space.
2. The following table shows the velocity of propagation and time delay
of cables insulated with the most widely used dielectrics.
3. Modified coaxial structures using a helical wrapped center conductor
are available with time delays ranging from 10 to 100 nanoseconds per
foot. Balanced helical structures are also available with time delays,
up to 50 nanoseconds per foot.
K. ELECTRICAL LENGTH STABILITY
Applications such as antenna feed systems require many cable assemblies
that are trimmed to specific electrical length. In these applications
the change of the electrical length of the cable with temperature,
flexure, tension and other environmental factors is critical.
The variation of electrical length with temperature for standard
flexible cables is shown in Figure 11.
For polyethylene insulated cables:--100 to --250 parts/million/degree C.
For TFE insulated cables:-50 to -100 parts/million/degreeC.
The variation of electrical length with temperature for the standard foam
dielectric semiflexible cables is --20 to --30 parts/million/degree C.
L. PULSE RESPONSE OF COAXIAL CABLES
1. The following characteristics must be considered when analyzing the
Time Domain response of cable to pulses or step functions:
a--impedance and Reflection; b--Rise Time; c--Amplitude;
d-Overshoot or Preshoot; e--Pulse Echoes.
a. Impedance and Reflection
1. Select impedance to match system requirements.
2. The impedance will vary along the length of cable. Variations of +5% are
not uncommon. Cables can be produced to tolerances of +2%. Tighter
tolerances are not recommended .
b. & c. Rise Time and Amplitude
1. The output rise time is a function of input rise time, pulse width and
cable attenuation. A typical pulse response is shown in Figures 12 and
13, while a typical step response is shown in Figure 14. Increased
cable temperature causes an increase in rise time and decrease in
amplitude.
d. Overshoot or Preshoot
1. Figure 14 shows the overshoot which can be encountered with a 0.1 ns
input pulse rise time in cables due to finite reflections. Such
overshoot is not common in cables with longitudinally extruded
dielectrics or spline cables.
2. Preshoot is encountered in some balanced delay lines and can be minimized
by cable design.
e. Pulse echoes
When a narrow pulse is placed on a cable, the distortions noted above
will occur. In addition a small pulse of energy may emerge after the
initial pulse has arrived. This pulse echo is caused by finite periodic
reflections within the cable. Normally the echo level can be neglected.
M. SHIELDING AND CROSS-TALK (OR ISOLATION)
1. The shielding efficiency of a coaxial cable depends on the
construction of its outer conductor. The most common constructions
available are:
Single Braid - Consisting of bare, tinned, or silver plated round copper wires
(85-90% coverage).
Double Braid - Consisting of two single braids as described above with no insulation between them.
Triaxial - Consisting of two single braids as described above with a layer of
insulation between them.
Strip Braids - Consists of flat strips of copper rather than round wires (90% coverage).
Solid Sheath - Consisting of aluminum or copper tubing.
2. The relative shielding efficiencies of these constructions are
illustrated in Figure 15 over the frequency range from 10 MHz to
8 GHz. This graph shows the level of signal which leaks through the
outer shield of a one foot sample of each construction. The curves
describing the performance of the flexible cables, i.e., the triax
braid, double braid, and single braid construction are based on
measured data. To estimate leakage in cables under 1100 ft. long,
add 20 log L from the figure read from the graph (where L is the
cable length in feet). The curve showing the typical performance of
the semi-flexible (or solid sheath) cables is based on theory. In
practice the shielding efficiency of interconnections made using
semiflexible (solid sheath) cables is limited by the leakage at the
connectors.
3. The total isolation (or cross talk) between two coax cable runs is
the sum of the isolation factors of the two outer conductors of the
adjacent cables and the isolation due to the "coupling factor"
between the runs. This coupling factor will depend on the relative
spacing, positioning and environment of the cable runs and on the
grounding practices employed. The coupling factor can substantially
affect the isolation between the cable runs.
4. Measurements show that the RF(1-30 MHz) cross talk between two single
braided coaxes over a 20 foot run length is approximately 80 db down
from the signal level inside the cables. The coaxes were laid
side-by-side over the 20 foot test length.
5. Special Constructions - Stripflex cable. Times has developed a special
shield construction made up of wide strips of silver plated copper
which are braided together into the familiar basket-weave construction.
This differs from the standard braid construction where small diameter
round copper wires are laid side by side to make up a braid "Carrier,"
which is then woven into the familiar basket-weave construction. The
strip braid cables are only manufactured in silver plated strip
construction.
6. Reference "Analysis and Measurement of CATV Drop Cable RF Leakage"
for coaxial shield transfer impedance measurements and characteristics.
N. CUT-OFF FREQUENCIES
The cut-off frequency of a coaxial cable is that frequency at which modes
of energy transmission other than the TEM mode can be generated. It does
not mean that the TEM mode becomes highly attenuated. This frequency is a
function of the mean diameter of the conductors and the velocity of
propagation of the cable. The higher modes are only generated at
impedance discontinuities and in many situations the cable can be
operated above cut-off without substantial VSWR or insertion loss
increase. However, it is recommended that in general usage the cut-off
frequency not be exceeded.
O. SELF-GENERATED CABLE NOISE
A phenomenon noted in cable is that when flexed, the cable generates an
acoustical noise and an electrical noise. The acoustical noise is a
function of mechanical motion within the cable. Such noise can be
minimized by proper cable design. Electrical noise generation is
attributed to an electrostatic effect, which has exhibited more than
500 millivolts in RG cable. This noise voltage can be minimized by
preventing motion between dielectrics and conductors or dissipating
electrostatic charges between conductor and dielectrics with
semiconducting layers. Low noise constructions must take into account
the life expectancy and environmental conditions to which they are
subjected. Times manufactures low noise cables for special applications.
P. OPERATING TEMPERATURE RANGE
1. The operating temperature range of flexible coaxial cable is
determined primarily by the operating temperature range of the
dielectric and jacketing materials. Note that only silver plated
conductors are suitable for long term use at temperatures over 80"C.
2. Operating temperature limits of the most commonly used dielectrics
and jacket types are given in the following table:
MATERIAL Primary Dielectrics
Polytetraflouroethylene (PTFE).............. -250 degrees C to +250 degrees C
Polyethylene................................. -65 degrees C to + 80 degrees C
Foamed Polyethylene ...........................65 degrees C to + 80 degrees C
Foamed or Solid Ethylene Propylene ........... 40 degrees C to + 105 degrees C
Jackets
Fluorinated Ethylene Propylene (FEP) ...... 70 degrees C to +200 degrees C
Polyvinylchloride (PVC) ................... 50 degrees C to + 85 degrees C
Ethylene Ct7loro Trifluoroethylene (ECTFE). 65 degrees C to + 150 degrees C
Polyurethane. ............................-100 degrees C to +125 degrees C
Perfluoroalkoxy (PFA) .....................-65 degrees C to +260 degrees C
Nylon .....................................-60 degrees C to + 120 degrees C
Ethylene Propylene ........................-40 degrees C to + 105 degrees C
High Molecular Weight Polyethylene......... 55 degrees C to + 85 degrees C
Crosslinked Polyolefin .................... 40 degrees C to + 85 degrees C
Silicone Rubber ........................... 70 degrees C to +200 degrees C
Silicone Impregnated Fiberglass ........... 70 degrees C to +250 degrees C
High Temperature Nylon Fiber ............. 100 degrees C to + 250 degrees C
Q. FLEXIBILITY
Coaxial cables with stranded center conductor and braided outer
conductors are intended for use in those applications where the cable
must flex repeatedly while in service. Standard braid constructions
will withstand over 1000 flexes through 180 degrees if bent over a bend radius
equal to 20 times the O.D. of the cable. Flexible cables may be stored
and are normally shipped on reels with a hub radius equal to 10 times
the O.D. of the cable. If a flexible cable is to be installed in a fixed,
bent configuration, the minimum bend radius recommended is 5 times the
cable O.D. Tighter bends can be made. Special braid designs are available
for improved flex-life.
Coaxial cables with a tubular aluminum outer conductor, commonly referred
to as semiflexible cables. will not withstand more than ten 180" bends
over a bend radius equal to 20 times the O.D. of the cable. Semi-flex
cables are normally shipped on reels having a hub radius of 20 times
the O.D. of the cable.
Semi-flex cables may be field bent for installation. The minimum
recommended bend radius is equal to in times the O.D. of the cable.
Cables bent on a bend radius of 5 times the O.D. of the cable may
exhibit mechanical and electrical degradation. Times has developed
special bending techniques where bend radius of 5 times cable O.D. may
be used with negligible change in electrical characteristics.
R. ENVIRONMENTAL RESISTANCE
The life of a coaxial cable depends on many factors. The materials used,
ultra-violet exposure, high humidity, galvanic action, salt-water and
corrosive vapors are prime causes of cable failure. Resistance to flame
must also be considered. The following guidelines apply:
a. Sunlight--For low temperature cables exposed to sunlight
(ultra-violet), the use of high molecular weight polyethylene, with
a specific carbon black particle size, % by weight and particle
distribution, is recommended for maximum life expectancy. Polyvinyl
chloride jackets exhibit a life expectancy of less than '/2 that of
properly compounded polyethylene.
b. High Humidity -- Vapor can enter flexible cables through pin-holes
in the jacket, the terminations or by vapor transmission through the
plastic or elastomeric jacket. All materials exhibit a finite vapor
transmission rate. For example, a ten foot length of cable would
exhibit a helium leak rate of approximately 10-4 cc/sec. Because of
extrusion techniques even FEP does not offer any improvement over
that figure. The combination of finite vapor transmission rates and
large temperature extremes appears to cause condensation in cables,
if the cables were tilted, this moisture could collect in a low area
causing rapid corrosion or shorting of a connector. One method of
preventing moisture accumulation in cables is to fill all voids with
a moisture-proofing compound which will not harden with age.
c. Salt-water Immersion---The electrical characteristics of cable will
be rapidly affected if the conductors are exposed to salt-water.
Unless an immersion test is performed on the jacket, there is a good
possibility of one pinhole per 1000 feet. Even if sufficient tests
could be performed, damage during installation or due to animal
damage normally will cause leakage. Cables are recommended which
withstand the pressure at the cable depth.
d. Corrosive Vapors The use of tin and silver coatings does afford some
protection against corrosive vapors. However, such protection is
short-lived. For installation near salt-water or chemical plants,
a filled cable such as Imperveon is recommended.
e. Underground Burial & Galvanic Action--Underground moisture which comes
in contact with any cable metals, will cause rapid corrosion. Tubular
aluminum outer conductors have been almost destroyed in 90 days.
Therefore, any cables installed underground should have pinhole free
jackets. Since jacket damage due to installation techniques and
rodents could occur, cables filled with a flooding compound should
be used. In plastic jacketed tubular aluminum cables, a flooding
compound should be used under the jacket. For maximum reliability
against rodents, a steel tape armor with overjacketing is recommended.
f. Flame Resistance--
1. Flame resistance of cables is a characteristic which should be
understood. Cables have different degrees of flame resistance.
"Flame retardant" cables are cables over which a flame will not
travel when one end is subjected to a flame. Cables with PVC
jackets are normally considered flame retardant.
2. Flame retardant jackets which are actually within the flame will
burn. If the flame is removed, they will cease to burn. PVC will
not drip burning material. However, if the dielectric is
polyethylene, the dielectric may drip ignited materials. PTFE and
FEP are the most commonly used materials which will not support
combustion, drip or burn.
S. CABLE STRENGTH
The break strength of the cable depends primarily on the strength of
the outer conductor. The cables will normally achieve at least 70% of
the break strength of the outer conductor, if the center conductor will
stretch up to 10% before breakage. Caution must be taken with cables
with copper-covered steel or alloy center conductors where breakage would
occur with only 1 to 10% elongation. Conductor sizes less than 26 AWG can
easily be broken during assembly operation. Special alloy conductors
are available which can achieve a tensile strength of 110,000 psi and
10% elongation.
T. QUALIF1CATION APPROVAL
1. Military--Most military applications require that cable conform to
particular specifications. Many of these specifications require the
manufacturer to qualify product by conducting a series of tests on a
length of cable with a military representative present as a witness.
MIL-C-17, the basic specification for most coaxial cables, requires a
Qualified Products List (QPL).
2. Commercial (UL) approval---the building codes of many cities require
that cables installed in their buildings be approved by the Underwriters
Laboratories (UL). With UL service, the cable is subjected to a clearly
defined series of tests and examinations, and has met the quality and
safety standards imposed by Underwriters Laboratories. A large variety
of UL approved designs (style numbers) are available. Approval of new
designs meeting UL standards normally can be made in a relatively short
period of time.