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Hum and Buzz In Unbalanced Interconnect Systems Jensen AN-004
Hum and Buzz In Unbalanced Interconnect SystemsORIGINS OF HUM
Often sound systems exhibit strange and perplexing behavior such
as hum that appears and disappears when power to other
equipment, not even part of the audio system, is switched on or off!
Traditional methods to eliminate hum often seem more like voo-doo
than engineering and, more often than not, are trial and error
exercises that end only when someone says “I can live with that”.
This author has previously written about balanced lines in audio
systems, so this paper will be strictly confined to unbalanced
systems.[2]
In contrast to a balanced system, an unbalanced system uses only
two wires, one for signal and one for ground. Its use still prevails in
consumer audio, probably because it is cheap to make and it
performs acceptably well in very small systems such as typical home
stereo setups. However, any unbalanced scheme has an inherent
problem called common impedance coupling. From Ohms law
we know that when current flows in a resistance, a voltage drop
appears across that resistance. With the exception of superconductors, any conductor (wire) has resistance. If two different
circuits share the same conductor or wire, a current flowing in either
circuit will produce a voltage drop across the wire. As shown in
Figure 2, a partial schematic of the simplest possible system, the
shield conductor of the interconnecting cable becomes the
offending common impedance.
Since the cable shield is effectively connecting the grounds of the
devices together, it carries a current derived from the power line as
well as the audio signal current. Although this fact is often
overlooked or ignored, it is fundamental to this discussion. Whatever
voltage is present between its inputs, points A and C in Figure 2, will
be amplified by Device B. It cannot tell the difference between signal
and hum, and will amplify both if they are present. To determine
what the input “sees”, we must trace the circuit loop from point A to
B to C. Since the voltage A to B (shield voltage drop) is in series with
the voltage B to C (the signal), the voltages will directly add. Clearly,
it would be very desirable for the shield voltage drop to be zero to
avoid contaminating the signal. In the real world, regardless of shield
construction, material or gauge, we cannot make the shield conductor resistance zero. Our only remaining choice is to somehow reduce the interchassis current, I in Figure 2, to an acceptable level.
INTERCHASSIS CURRENT: THEORY
This current is caused by the charge and discharge of capacitances between power line and chassis. An undesired but unavoidable
primary to secondary capacitance exists in the power transformer of every piece of AC operated equipment. Sometimes intentional
capacitors and resistors are added from power line to chassis to suppress RFI and/or meet safety regulations. To predict the severity
of the hum problem these capacitances create, we can analyze the circuit using the steps of simplification shown in Figure 1.
Figure 1: ANALYZING THE EQUIVALENT CIRCUIT
Figure 2: THE HUM GENERATING MECHANISM
The basic problem is that the shield is a common path for both inter-chassis “ground” and signal currents.
Jensen AN-004 1
Note the Vx ± Vy term in the single capacitor equivalent circuit. The
± accounts for the fact that most consumer equipment has a twoprong
AC plug which can be inserted into an outlet either of two
ways. A special example illustrates how extreme the effects of plug
reversal can be. Consider the case where CPS1 is ½ the value of CPS2
and CPS3 is ½ the value of CPS4 (this condition would be highly
unlikely in the real world). If the two plugs are connected to the
AC line as shown in the diagram, each pair of capacitors forms a
voltage divider with a 3:1 division ratio, making chassis voltages Vx
and Vy each 40 volts AC with respect to ground. Since no current
will flow in a wire connecting two points of equal voltage, current I
will be zero. However, if one of the AC plugs is reversed, the chassis
voltages will no longer be equal and current I will flow. Except for
this special case, plug reversals simply cause a change in the
interchassis current, rather than the total cancellation seen in this
example. For this reason, reversing AC plugs will almost always
change the hum level in a system..
It is also very unlikely that the two capacitances, CPS1 and CPS2 or
CPS3 and CPS4, would be exactly matched in any piece of equipment.
Mismatch ratios of two to one are common. Since all utility 120 VAC
power in this country is distributed asymmetrically with respect to
earth ground, one side called “neutral”, is grounded. The other,
called “hot” or “line”, is at 120 volts with respect to ground.[4]
Recently, proponents of a scheme called “Balanced AC Power” have
claimed that “[hum reduction] results are often quite dramatic”.[3]
Balanced power uses a center-tapped transformer to make each side
of the line 60 volts with respect to ground. Although intuitively
attractive, this approach can completely cancel interchassis currents
in a system of three or more devices only in the case where each of
the devices had such matched capacitances. This would be an
extremely rare occurrence. Although 10 to 15 dB hum reductions,
which would be more routinely achieved, might be considered“dramatic” in a video system, this author cannot recommend this or
any other “line conditioning” method as a cost effective solution for
audio system hum problems.
INTERCHASSIS CURRENT: MEASUREMENT
When designing or troubleshooting a system, a highly recommended
first step is to measure actual ground currents of the system devices.
This can be done quite simply using an AC voltmeter adapted, as
shown in Figure 3, to measure AC current. This same setup can also
measure chassis current between devices.
The 1 kS resistor converts current to voltage at 1 millivolt per
microamp while the capacitor limits the measurement to frequencies
under about 1 kHz. One lead of this current meter is connected to
the shield of an input or output jack on the device under test. An
IHF/RCA plug is handy for this and it generally wont matter which
jack you choose, since all shield grounds are usually tied together
inside the device. The other lead of the current meter is connected.
Figure 3: MEASURING THE CHASSIS CURRENT
to a ground equivalent to power line neutral. The safety ground of
any modern outlet is convenient for this. It is required by safety
codes to be tied to earth ground, as is the neutral. The current
measurement should be taken under four conditions: device "off",
device "on", then repeated with the devices AC plug reversed.
Taking the highest reading will give us a "worst case" number which
can then be used, along with Figure 4, to estimate the system hum
levels produced when this device is connected to others via cables.
The author has tested a variety of consumer devices, including CD
players, cassette decks, tuners, receivers, and power amplifiers, for
chassis current to ground. The broad categories of typical ground
currents developed from the testing were used in Figure 4. Ground
current is generally related to AC power consumption of the device,
since this dictates the size of its power transformer and, to some
extent, its interwinding capacitances. Ground current L, 5 µA RMS,
is typical of "low power" consumer gear drawing under 20 watts.
This includes most CD players, cassette decks, and turntables.
Current M, 100 µA RMS, is typical of "medium power" consumer
gear drawing 20 to 100 watts. This includes most tuners, low to
medium power receivers or power amplifiers, and some small TV
receivers. Current H, 1 mA RMS, is typical of "high power"
consumer gear drawing, or capable of drawing, well over 100 watts.
This includes most high powered amplifiers or powered subwoofers
and large screen or projection TV receivers. Figure 4 shows the
calculated effect of these currents when they flow in interconnect
cable shields in an unbalanced audio system. A contact resistance of
50 mS per connection was used and the 0 dB reference level is 300
mV RMS or about !10 dBV. All results have been rounded to the
nearest dB.
Please note that this characterization of chassis current applies only
to devices with two-prong AC plugs. Three-prong plugs effectively
connect the device chassis to safety ground, making the chassis a
voltage source. System effects of this will be discussed later.
Figure 4: Table - CALCULATED HUM LEVEL, dB re 300 mV, vs GROUND CURRENT, CABLE LENGTH, and SHIELD GAUGE
Jensen AN-004 2
AUDIBILITY OF HUM & BUZZ
Just what level of hum or buzz is audible depends on many factors.
A recent AES paper indicates that noise artifacts should be under
!120 dB to be inaudible for serious listening in residential
environments.[5] The experience of this author indicates that levels
higher than about !80 dB are annoying to most listeners. The noises
originating with the power line are generally described as either
"hum", which is predominantly 60 Hz, or "buzz", which consists of a
mixture of high-order harmonics of 60 Hz. These harmonics are the
result of power line waveform distortion, which commonly reaches
5% THD and is caused by many types of non-linear power line
loads. Because the human ear is much more sensitive to frequencies
in the 2 kHz to 5 kHz range at these very low levels, buzz is usually
more audible than hum, even though the hum level may be
electrically larger.
BREAKING THE INTERCHASSIS CURRENT PATH
To eliminate hum, we must effectively eliminate interchassis ground
current. We could eliminate it by simply breaking the chassis to
chassis shield connection. Of course, this alone would not solve our
problem. We must break the signal line as well and insert a device
which will sense the voltage at the output of device A and regenerate
it into the input of device B, while ignoring the voltage that exists
between the now disconnected device grounds. These properties
generally describe a differential responding device with high
common-mode rejection, usually called a ground isolator. See
reference [2] for more information on this subject.
Two basic types of differential responding devices, active differential
amplifiers and audio transformers are available at reasonable cost.
We wont consider active optical or carrier modulated isolation
amplifiers here because such devices which also have acceptable
audio performance are still quite expensive.
Active differential amplifier circuits are used in a number of
commercially available devices. To a greater or lesser extent, they all
share several disadvantages: they can further complicate the ground
system by contributing interchassis currents of their own, since they
require AC power; they cannot handle ground voltage differences
over about 10 volts RMS; they use semiconductors or integrated
circuits which are prone to degradation or failure caused by power
line or lightning induction voltage transients; and, worst of all, they
are exquisitely sensitive to source impedance. This sensitivity limits
hum rejection, even in a balanced system (for which they are
intended), but it makes them nearly useless in an unbalanced
system.[2] A typical example of such devices is the popular Sonance
AGI-1 (which uses the Analog Devices SSM2141). Lab
measurements on this unit, shown in Figure 5, reveal that over the
200 S to 1 kS range of source (output) impedances typical in
consumer equipment, its hum rejection is only 15 to 30 dB.
High quality audio transformers are, by their nature, relatively
insensitive to source impedance and exhibit excellent hum rejection
performance in either balanced or unbalanced systems. Under the
same conditions and same range of source impedances, the passive
transformer based ISO-MAX® model CI-2RR measures 90 to
110 dB. As shown in the Figure 5 graph, its measured hum rejection
is over 70 dB better than the active device. It requires no power
of any kind and can handle ground voltage differences up to 250
volts RMS without malfunction, degradation, or damage.
There is a widespread belief that all audio transformers have
inherent limitations such as high distortion, mediocre transient
Figure 5: HUM REJECTION vs SOURCE IMPEDANCE
response, and large phase errors. Unfortunately, many such
transformers do exist and not all of them are cheap. The vast
majority of available audio transformers, even when used as
directed, do not achieve professional performance levels. As Cal
Perkins wrote “With transformers, you get what you pay for. Cheap
transformers create a host of interface problems, most of which are
clearly audible.”[6] If well designed and properly used, however,
audio transformers qualify as true high fidelity devices. They are
passive, stable, reliable, and require neither trimming, tweaking, nor
excuses.
DIAGNOSIS OF A LARGER SYSTEM
Most systems consist of more than two devices and often consist of
a mixture of floating (2-prong AC plug) and safety grounded (3-prong AC plug). In addition, devices may be connected to external
sources of ground currents, such as cable TV. Our previous analysis
of a generalized two device system allows us to apply the same
principles to analyze and treat hum problems in larger systems. Our
example system, shown in Figure 6, consists of a large screen TV
receiver with audio outputs, a stereo preamp control center, a subwoofer
with internal power amplifiers, and a stereo power amplifier
for the satellite speakers. All devices have 2-prong AC plugs, except
the sub-woofer, which has a 3-prong plug. Initially, we will not make
the cable TV connection shown by the dotted line. The interconnect
cable is a foil shielded type with a #24 gauge drain wire having a
resistance of 25 mS per foot. Now, lets go through the process stepby-step.
Step 1 is to measure or estimate the worst case ground current of
each device having a 2-prong AC plug (as described under heading
3). To keep our analysis process as easy as possible, we will be using
some simplifying assumptions and approximations throughout.
Therefore measurements need not be made with laboratory
precision. Our calculated hum levels will generally be pessimistic by
several dB.
Step 2 is to measure or calculate the interchassis resistance for each
cable run. Vendor data usually provides either resistance per unit
length or equivalent wire gauge information for the cables shield.
Remember to include some shield contact resistance at each
connector (normally one at each end) as part of the total. If the cable run is a stereo pair, remember to divide by two because the
two shields are in parallel. The 50 foot run from TV to preamp in
Figure 6 was calculated as follows:
Jensen AN-004 3
- 50 ft cable shield @ 25 mS/ft = 1.25 S
2 connector contacts @ 50 mS each = 0.1 S
Total resistance per cable = 1.25 S + 0.1 S = 1.35 S
Resistance of 2 paralleled cables = 1.35 S ÷ 2 = 0.68 S
Step 3 is to estimate current flow in each cable (or cable pair, in this
case). At this point we will make some simplifying assumptions, but
according to the following rules:
A - If two devices with different ground currents are
connected, the current flow between them is limited to the
lower of the two currents. If the ground currents have
equal values, flow between them is that value.
B - Current flow between two high ground current devices can
flow through a lower ground current device chassis from
connector to connector.
C - A device connected to safety ground or any external path
to earth ground or AC neutral can support unlimited
current flow.
D - If current into a device may flow out in multiple paths,
assume that value will flow in all paths that can support it
(according to rule A).
Make a simple diagram of the system, similar to Figure 6, and enter
the measured or estimated worst case ground current for each
floating (2-prong plug) device near its AC plug symbol. Applying the
rules, determine the current flow in each cable (or cable pair) and
enter the value on the diagram. In our example, although the
preamp can support only 30 µA through its power connection, note
that the 1 mA ground current from the TV will flow through it to
either the power amplifier (which can support 1 mA through its
power connection) or the sub-woofer (which can support unlimited
current through its safety ground).
Step 4 is to calculate the hum voltage drop for each cable. Knowing
the values of interchassis resistance (from step 2) and current flow
(from step 3) for each cable, allows us to find the hum voltage.
According to Ohms law, E = I x R where E is the hum voltage, I is
the interchassis current, and R is the interchassis resistance.
Therefore, in Figure 6, the hum voltages are:
- 1 mA x 0.68 S = 0.68 mV for TV to preamp cable,
1 mA x 0.55 S = 0.55 mV for preamp to sub-woofer, and
1 mA x 0.11 S = 0.11 mV for preamp to power amplifier.
Step 5 expresses the ratio in dB of each of these hum voltages to
the signal voltage, since the hum voltage directly adds to the signal
at the receive end of each cable. Because each cable carries a
nominal 300 mV (sometimes expressed as !10 dBV) maximum
signal level, this will be our reference level. For each voltage
calculated in step 4, the hum level, in dB relative to the reference
signal, is calculated as dB = 20 x log ( E ÷ 300 mV). Expressing our
example voltages in dB gives us:
- !53 dB at preamp input from TV,
!55 dB at sub-woofer input from preamp, and
!69 dB at power amplifier input from preamp.
These numbers do not include the additional hum caused by a
device which may amplify the hum appearing at its input. In this
example, even if the preamp volume control is “off”, unacceptably
high hum levels exist at the inputs of both the sub-woofer and power
amplifiers. If we advance the volume to unity preamp gain (preamp
input and output levels the same), the hum level to both power
amplifiers will further increase. Calculations should assume that
all hum voltages are in-phase and additive. While it is possible
for the hum at the preamp input to be anti-phase to the hum at the
power amplifiers ( as volume is advanced, hum would decrease to a
“null” and then increase beyond the null), we wont rely on this
possibility.
TREATMENTS TO REDUCE HUM
As a general rule, problem areas involve the longer cables and
higher interchassis currents. In our example system of Figure 6, these
are the 40 and 50 foot cable runs. Figure 7 shows the same system
with transformer isolators added to the long runs. Note how the
isolators reduce interchassis currents ( the 1 µA flow through each
isolator is due to interchassis voltage now present - more on that
later). Since the isolators block the high chassis currents from the TV
and sub-woofer, the preamp to power amplifier current is now only
30 µA and flows in the shortest, lowest shield resistance cable. Following steps 3, 4, and 5 as before, the new hum estimates
calculate as:
Jensen AN-004 4
- !113 dB at preamp input from TV,
!115 dB at sub-woofer input from preamp, and
!99 dB at power amplifier input from preamp.
In reality, we cant achieve the !113 dB and !115 dB levels. Recall
that Figure 1 showed a Thevenin equivalent circuit for each device,
consisting of voltage source VX and capacitance CX. If an isolator
effectively disconnects a device from ground, its chassis will “float”
above safety ground at its Thevenin voltage. This voltage, which
appears as common-mode (on both input lines) to the isolator, could
range from 0 to 120 V. A reasonable typical is 60 V which is +46 dB
relative to a 300 mV reference signal. Even the best real isolator,
with a CMRR of 120 dB, will have an output hum level of +46 dB
! 120 dB or !74 dB.
If, as shown in Figure 6, we ground each device through a separate
wire (not through the audio cable shields), we can essentially remove
the common-mode voltage from the isolator. More and more
equipment, TV receivers especially, have plastic cabinets and the
only exposed metal may be screwheads and connectors, making it
unclear how to ground the “chassis”. DO NOT make the ground wire
connection to anything INSIDE the cabinet ? you may severely
damage the equipment and/or create a lethal shock hazard. You can
confirm that a screwhead, for example, is an effective “chassis”
ground by: 1) disconnecting the equipment from everything except
AC power, 2) with an AC voltmeter, monitor the voltage between an
audio output jacks outer (shield) contact and the AC outlets safety
ground pin, and 3) verify that the voltmeter reading drops to under
a volt when the grounding wire connected to the AC outlets safety
ground pin is touched to the screwhead. When grounded this way,
the output hum level of our example system will drop from !74 dB
to about !110 dB (the thermal noise floor of a Jensen ISO-MAX®
CI-2RR isolator). With isolators and added grounds in place, our
estimate becomes:
-
!110 dB at preamp input from TV,
!110 dB at sub-woofer input from preamp, and
!99 dB at power amplifier input from preamp.
The !99 dB figure can be improved further by lowering the shield
resistance of the 5 foot cable which uses a foil shielded cable with
#24 gauge drain wire (25 mS per foot). Cable using a #18 gauge
equivalent braided copper shield (6.5 mS per foot) will lower hum
level by 5 dB from !99 dB to !104 dB.
The cable TV connection is shown to illustrate the problems it can
cause. Most cable systems supply AC power to their trunk mounted
repeater amplifiers through the trunk cable itself. This 60 Hz AC
current flows through the shield of the coaxial trunk cable and
(surprise) causes AC voltage drops. For safety reasons (lightning
strikes to the trunk line, for example) the residential “drop” cable is
usually “grounded” near its point of entry to the building. This
ground may be to a water pipe, a separate earth ground rod, the
same ground point used by the main AC power panel, or the ground
connection may not even exist. In any case the cable TV shield will
typically carry several volts of hum with respect to the buildings
safety ground wiring. When the dotted cable connection is made in
Figure 6, this ground voltage difference can cause very high currents
(just under 200 mA in our example) to flow from cable shield to TV,
through audio cable to the preamp through more audio cable to the
sub-woofer system and its safety ground. The resulting voltage drops
in the audio cables produce truly horrible hum levels of about !6
dB. One might be sorely tempted to “lift” the safety ground of the
sub-woofer to reduce the hum (which it would).
DO NOT DEFEAT SAFETY GROUNDS!
A “ground adapter” is intended to provide a safety ground
for 3-conductor power cords when used with 2-prong
outlets, NOT defeat the safety ground provided by a 3-prong
outlet. Defeating a safety ground could allow lethal voltages
to appear on all equipment in an interconnected system.
In most systems, the best way to deal with the cable TV problem is
to stop the current flow with a 75 S RF isolator. Most commercial RF
isolators are simply high-pass filters which use capacitive coupling,
resulting in input to output capacitances up to 4 nF. Although these
isolators certainly reduce the current injected into the ground system,
RF transformer type isolators, with capacitances under 50 pF, work
about 40 dB better, to effectively eliminate the current. The Jensen
ISO-MAX® VR-1FF is such a transformer type isolator. Because our
modified system of Figure 7 prevents the TV chassis currents from
passing through any audio cables, it does not need an RF isolator.
Generally, neither RF isolator type can be used with DSS receivers
because they do not pass DC current.
An unbalanced audio system with two or more safety grounded
devices (3-prong AC plugs) will virtually always require audio
isolators to prevent hum. Without isolation, the voltage drops
occurring in the safety ground wiring of the building are forced onto
the audio cable shield system through the two or more safety ground
connections. This problem will generally be made more severe as the distance (and length of intervening building safety ground wiring)
increases.
Jensen AN-004 5
The worst case is two safety grounded devices operating
from two different branch circuits of the buildings AC power. The
best case is two safety grounded devices located very near each
other and operated from the same AC receptacle.
Magnetic pickup loops can easily be created by improper routing of
cables. Any closed loop of wire in the proximity of an AC magnetic
field will have a current induced in the loop. When this current flows
in the shields, it produces voltage drops which contaminate the
audio just as interchassis currents do. Common sources of strong AC
magnetic fields are power transformers, motors, fluorescent lights,
AC power wiring (even inside walls and conduit), TV sets, and
computer CRT displays. A simple stereo pair of interconnect cables
between two devices forms a loop because the shields are tied
together at both ends. Since loop pickup is directly proportional to
the area inside the loop, the cables should be dressed as physically
close together as possible. In fact, all cables that connect between the
same two devices should be bundled together in order to minimize
loop area. The bundles should, of course, be kept as far as possible
from magnetic field sources.
CONCLUSIONS AND TIPS
Hum and buzz in unbalanced audio systems is caused by common
impedance coupling in the shield resistance of the interconnecting
cables. This coupling can be minimized by reducing shield
resistance, reducing or eliminating interchassis currents, or both.
TChoose shielded cable for low shield resistance. A cable
with 6.5 mS/ft (6.5 S per 1000 ft) shield resistance and
90% shield coverage is much preferred over one with
25 mS/ft shield resistance and 100% shield coverage.
T Use high quality, transformer based audio ground isolators
to eliminate high interchassis currents.
T Bundle together all audio cables connecting the same two
devices and keep the bundle away from power cabling or
other AC magnetic fields.
T NEVER, NEVER DEFEAT THE SAFETY GROUNDING
of any device having a 3-prong power cord. The results of
doing so can be deadly to you and/or your customer.
T If the system contains more than one safety grounded
device, use audio ground isolators to eliminate current flow
through audio cables connecting them.
T Add external grounding, if possible, to devices without any
other system ground path in order to reduce commonmode
voltage at the isolators.
T Use a transformer type RF isolation device, if necessary, to
prevent ground currents that may result from the cable TV
connection.
Figure 8
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REFERENCES:
[1] B. Hofer, “Transformers in Audio Design”, Sound & Video
Contractor, March 15, 1986, p. 24.
[2] B. Whitlock, “Balanced Lines in Audio Systems: Fact,
Fiction, and Transformers”, J. Audio Eng. Soc., vol. 43,
pp. 454-464 (1995 June).
[3] M. Glasband, “Lifting the Grounding Enigma”, Mix,
November 1994, pp. 136-146.
[4] D. Engstrom, “The AC Connection: A Tutorial, Part 1”,
Sound & Communications, February 25, 1995, pp. 28-38.
[5] L. Fielder, “Dynamic Range Issues in the Modern Digital
Audio Environment”, J. Audio Eng. Soc., vol. 43, pp. 322-
339 (1995 May).
[6] C. Perkins, “To Hum or Not to Hum”, Sound & Video
Contractor, March 15, 1986, p. 41.
ISO-MAX® is a registered trademark of Jensen Transformers, Inc.
Copyright 1996, Jensen Transformers, Inc.
Figure 9: contact information
Jensen AN-004 6
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