Phase Conversion Technology Overview
Dr. Larry Meiners, Ph.D.
Introduction
A wide variety of commercial and industrial electrical
equipment requires three-phase power. Electric utilities do
not install three-phase power as a matter of course because
it costs significantly more than single-phase installation.
As an alternative to utility installed three-phase, rotary
phase converters, static phase converters and phase
converting variable frequency drives (VFD) have been used
for decades to generate three-phase power from a
single-phase source. However these technologies have serious
limitations, which motivated Phase Technologies, LLC
to develop a new digital phase converter, Phase Perfect®.
This new patented technology overcomes the limitations of
earlier phase converters, and is an affordable alternative
to utility three-phase.
Construction
of three-phase power lines can cost as much as $50,000 per
mile and can have an undesirable environmental impact. Even
when three-phase lines are nearby, the cost of installation
is considerable. Based on anticipated electricity demand for
the three-phase application, the utility may or may not
charge the customer for the cost of installation. Continuing
monthly surcharges for the service are also common.
Phase
converters have historically been employed where utility
three-phase power was unavailable, or where the electricity
demand did not justify the cost of utility three-phase
installation. Reduced motor life caused by voltage and
current imbalance, harmonics that pollute the power grid and
damage equipment, or the inability to operate sensitive
equipment or multiple loads are just some of the problems
that have limited the use of phase converters.
Phase
Perfect is a new, patented technology that supplies
three-phase power from a single-phase source to power
inductive, resistive and capacitive loads with distinct
advantages over any existing converter technology. Phase
Perfect has an input stage with electronic power factor
correction, producing true, near unity power factor. The
input current is sinusoidal with very low harmonic content.
The output signal passes through an LC filter which blocks
the high frequency harmonics from entering the load,
producing a sinusoidal output with no external filtering
required. A digital signal processor (DSP) monitors the
process to generate balanced voltages and currents and to
protect the load. Its many integrated features allow
customers to avoid add-on costs associated with other phase
converter technologies.
Electric Power
Distribution
The backbone
of every modern electric power distribution system is a
three-phase
alternating current (AC) transmission line. It consists of
three primary current-carrying wires sometimes referred to
as L1, L2, and L3 and in some cases a fourth wire called the
neutral conductor. Single-phase distribution systems are
also common because single-phase transmission lines costs
significantly less than three-phase lines. They consist of
one high-voltage line and a neutral. Most residential and
rural areas are supplied with single-phase
service. Three-phase power cannot be supplied from
single-phase service unless a phase converter is used.
Single-phase
power is a single voltage that alternates between a positive
voltage and a negative voltage for a specific number of
times per second (in the U.S., 60 times per second or 60
Hz). Three-phase power is three distinct AC voltages, each
shifted in time 120 degrees relative to one another as
depicted in figure 1.
The wave
forms shown in figure 1 can be calculated using the sine
function in trigonometry and are called sine waves. Notice
that the voltage between L2 and neutral (L2-N) is delayed by
1/3 of a cycle from the L1-N
voltage, and that the L3-N voltage is displaced 1/3 of a
cycle from the L2-N voltage. A complete cycle of the one of
the wave forms corresponds to one complete rotation around a
circle or 360 degrees. The phase delay in the L2 and L3
voltages is often referred to as 1/3 times 360 degrees or
120 degrees for L2 and 240 degrees for the L3 voltage
Customers
are supplied with electricity from the distribution system
by placing transformers on the high voltage distribution
system to reduce voltage to a level compatible with electric
devices, for example, 240 volts. Three-phase service
requires three transformers compared to one for single-phase
service, and requires different metering equipment as
well. Because of this, three-phase service costs more to
install, so utilities usually prefer to install single-phase
service unless there is a specific demand for three-phase
power at the site.

Why Is Three-Phase Power Desirable?
Motors that convert electrical energy to
mechanical energy are a large portion of the industrial
demand for electricity. Most of these motors are three-phase
squirrel-cage induction motors which consist of an
arrangement of coils wound in slots in a stack of iron
laminations shown in cross section in figure 2 below. This
part of the motor is stationary and is called the stator.
The coils in the stator are connected in a manner to produce
at least three separate windings which are at angles of 120
degrees with respect to each other. This is shown
schematically in figure 2.
If
a set of 3-phase
voltages is applied to the windings shown, a magnetic field
will be produced in the center portion of the stator which
is constant in magnitude, and which rotates at the frequency
of the applied voltages
(either 50 or 60 Hz depending on what country you're
in).
The second part of the motor
(the rotor) is a set of round iron laminations that have
been attached to a shaft with bearings. There are slots in
this set of laminations as well. In this instance the slots
are filled with very low resistance bars of aluminum that
are shorted together at the outer edges of the laminated
stack of iron. If the rotor is inserted into the center part
of the stator, the magnetic field generated by the stator
will cross through the shorting bars of the rotor causing a
large current in the rotor. These rotor currents react with
the magnetic field generated by the stator and cause the
rotor to spin. The rotor will continue to accelerate until
the shaft rotation speed is nearly equal to the velocity at
which the magnetic field of the stator is spinning.
The
important point here is that if the stator had only a single
coil driven by a single-phase
voltage, then the magnetic field generated by the stator
would not rotate--it could for example point either up or
down, but not left or right. The motor could never start
because there would be no rotational component of the
magnetic field. Thus a 3-phase
system allows the mechanical energy being fed into the
generator to be transferred to 3-phase
induction motors very efficiently. Three-phase motors also
have the advantage of being very simple and reliable--there
are no electrical switches contained in them. If they are
not overheated, the only thing that wears out is the
bearings, which are replaceable.
Other heavy
equipment such as welders or electronic power supplies can
be made lighter and less expensive if it is powered from a 3-phase
source. Consequently, most industrial electric equipment is
three-phase.
Three-phase
vs. Single-Phase Motors
Single-phase motors are
readily available, especially in smaller sizes for loads
requiring less than 5 HP. These motors have a primary
winding which is used all the time, and a secondary winding
which is used primarily for startup. On some
single-phase
motors, the secondary winding is also used when the motor is
running. The secondary winding is connected to the input
voltage in series with either a resistor or a capacitor to
produce the necessary phase shift to get the motor
started. Usually there is a switch inside the motor that
either disconnects the secondary winding altogether or
connects it to a different value of capacitor once the rotor
is spinning. From the previous discussion we see that the
single phase motor will have more losses than a 3-phase
motor of the same
capacity and will have to be designed to accommodate these
losses. For motors up to about 5 HP the single-phase
solution is usually
acceptable. Above 10 HP it becomes increasingly difficult
to handle the extra heat generated in a single-phase
motor and they are not common. If reversing capability, such
as on machine tools, is needed or if the motor is subjected
to frequent start-stop cycles, a three-phase motor is much
more desirable. It is much more convenient to reverse a
3-phase motor since all that is required is to reverse two of the
leads to the motor.
Another
consideration is the reliability of the motor. The primary
failure mechanism of single-phase
motors is failure of the switch that controls the secondary
winding. When the contacts eventually become corroded, the
switch will fail to close and the motor won't start. This
will overheat the primary winding and may cause destruction
of the motor. Since 3-phase
motors don't have this internal switch, they do not have
this failure mechanism. Long motor life is an important
consideration for deep-well submersible pumps where the
labor cost for replacing the pump can be more that the cost
of the pump itself.
Rotary and Static Phase Converters
Phase converters provide
3-phase
power from a single-phase
source, and have been used for decades. The simplest type of
old technology phase converter is generically called a
static phase converter. This device typically consists of
one or more capacitors and a relay to switch between the two
capacitors once the motor has come up to speed. These units
are comparatively inexpensive. They make use of the idea
that a 3-phase motor can be started using a capacitor in series with the
third terminal of the motor. It is almost guaranteed that a
static phase converter will do a poor job of balancing the
voltages on the motor. Unless motors operated on static
converters run only for short periods or deliver
significantly less than half of their rated output, they
will be damaged from overheating.
The second
type of old-technology phase converter is generically called
a rotary phase converter. This device consists of a
3-phase
motor (usually without
external shafts) and a bank of capacitors wired together to
act as a single large capacitor. Two of the leads to the
motor are connected to the single-phase
power source and the third lead to the motor is connected in
series with the capacitor bank to either one of the
single-phase
inputs. The output leads
from the phase converter are connected across the three
motor terminals. Typically the motor used in the phase
converter is larger than the loads it is supplying. For
example, a rotary converter designed for a 7.5 Hp load might
use a 10 Hp motor frame. The electrical interaction between
the capacitor bank and the free-running phase converter
motor generates a voltage on the third motor terminal which
approximates the voltage needed for a balanced 3-phase system. However, it usually isn't a very good approximation.
For example, measurements on a 7.5 Hp rotary converter in an
actual machine shop installation resulted in line-to-line
voltages of 252 V, 244.2 V and 280.5 V, which is about a 12%
imbalance in the voltages.
To
understand how this voltage imbalance will effect a motor is
useful to first transform these line-to-line voltages into
their equivalent line-to-neutral voltages, which are shown
in figure 3 below. These voltages are shown in what is
called a phasor diagram. The magnitude of each voltage is
proportional to the length of the arrow or vector and the
relative phase angle of each voltage is proportional to the
angle between any two arrows. The L1-L2 voltage has been
arbitrarily drawn with an absolute angle of zero degrees. If
one imagines that these vectors are spinning around the
center point clockwise at a rate of 60 times per second,
then the value of a voltage at any particular instant in
time would be the projected length of its vector onto the
horizontal axis. This set of vectors, which represent
unbalanced voltages, rotating clockwise, can be further
separated into two balanced sets of vectors, one rotating
counterclockwise and called the positive-sequence voltages,
and one rotating clockwise and called the negative-sequence
voltages. These are also shown in figure 3 below.

An induction
motor responds quite differently to the positive-sequence
voltages as compared to the negative sequence voltages. The
positive-sequence voltages are rotating at 60 Hz (3600
cycles/min) and if we take the example of a 2-pole motor,
the rotor is spinning at about 3450 rpm. The slip speed
between the field created by the positive-sequence voltages
and the actual rotor velocity is low and the inductance seen
by these voltages is relatively large.
If we take the example of a 7.5 Hp 240 V motor, the no-load
running current is about 14 A. The
phase-to-neutral voltage is 240/(3)1/2=139 V, and
the phase-to-neutral inductance is: L=139/(377*14)=26mH (1
mH=1 Henry/1000, a Henry being the basic unit of
inductance). The negative-sequence voltages are rotating in
the opposite direction to the rotor velocity and the slip is
almost twice the rotor velocity. This sequence of voltages
sees an inductance nearly equal to that which would be
measured if the rotor were locked in position. The
locked-rotor inductance is about one sixth of the normal
running inductance or about 4.4 mH for a 7.5 Hp motor. The
figure below shows the individual positive and negative
sequence currents and the combined current for the voltages
shown above.

Notice that
while the voltages were only 12% out of balance, the
currents differ by almost a factor of three. Since the
negative sequence voltages feed into an inductance which is
one sixth of the inductance seen by the positive-sequence
voltages, a rather modest imbalance in the voltages produces
a totally unacceptable imbalance in the currents. In this
example, the lead to the motor carrying the smallest current
could be totally disconnected and it would not significantly
change the performance of the motor.
If a single
motor is always run at a constant load, and the rotary phase
converter and its associated capacitor bank are carefully
adjusted, then it is possible to achieve better than a 12%
voltage imbalance as discussed in the example above and get
acceptable operation of the motor. The procedure would
involve setting up the system of phase converter, motor and
load; then measuring the generated voltages and the currents
in each motor phase. If the current balance were
unacceptable, then capacitors would need to be either added
to, or taken out of the capacitor bank until the currents
were balanced. In some cases, it might be necessary to
switch to a different size phase converter to get the system
balanced.
If the motor
were required to operate over a wide range of load
conditions, or if several motors were powered using the same
phase converter, it would be nearly impossible to get good
voltage balance over the whole range of operation. If none
of the motors were run at their full capacity, the job of
getting everything to work properly would be easier. If the
motor(s) were run at their full capacity for extended
periods, such as in pumping applications, they would not
tolerate voltage imbalance.
In
summary, phase imbalance adversely impacts both the
performance and the life of a motor. Even modest voltage
imbalance between the phases will require a motor to be
de-rated as indicated in Table 1.2 Phase
imbalance will significantly reduce the life of motors that
have a high duty cycle and operate at their maximum rated
capacity.
Table 1
|
Voltage
Imbalance
In Percent |
Derate Motor to
These
Percentages of the Motor's Rating |
|
1%
2%
3%
4%
5% |
98%
95%
88%
82%
75% |
Variable
Frequency Drives
Variable frequency drives (VFDs)
are designed primarily to control the speed of AC motors,
but can be adapted to function as phase converters. They
also have some problems with power quality.
While a
phase converter will supply a 3-phase
output at the same frequency as the input voltage from the
power line, a VFD has the ability to create voltages that
vary in frequency. A VFD has an input rectifier (either 4 or
6 semiconductor diodes) which charge up a DC link
capacitor. Three pairs of semiconductor switches are also
connected to the DC link capacitor. Each switch pair is
connected in series and has connections to the two capacitor
terminals. The center connection of each switch pair is
connected to one of the output terminals. If the top switch
is on, the output terminal will be connected to the top or
positive terminal of the link capacitor. If the bottom
switch is on, then the output terminal will be connected to
the bottom or negative terminal of the DC link
capacitor. Each of the three output terminals is connected
to one of the leads of a 3-phase
induction motor.

A VFD cannot
produce a sinusoidal output voltage. It can only connect the
output terminals to either the positive or negative terminal
of the link capacitor. For example, the voltage on the top
terminal of the capacitor is +170 V and the voltage on the
bottom terminal of the capacitor is at -170 V. If during
some short time interval the top switch is on half the time
and the bottom switch is on half the time, the average
voltage at that output terminal would be zero. If the top
switch were on all the time, the average voltage would be
+170V, and if the bottom switch were on all the time then
the average voltage would be -170V. Thus, the switches can
produce average voltages over a short interval that can have
any value between +170V and -170V.
The
inductance of a motor powered by a VFD responds to the area
beneath the curve of a plot of the voltage as a function of
time. So, even though the voltage isn't sinusoidal, if the
on/off times of the switches are chosen correctly then the
current in the leads to the motor can be sinusoidal
as long as the average value of the voltage is
sinusoidal. Since the torque generated by the motor is
proportional to the currents and not the voltages, then to a
first approximation the motor behaves as if it had
sinusoidal voltages applied to it.
Problems can
arise with VFDs if they are used to power loads other than
motors, if there are multiple loads on the VFD, if the motor
needs to provide braking action, if the distance between the
motor and the VFD is appreciable, or if the current drawn by
the VFD is large compared to the rating of the utility
step-down transformer.
VFDs were
not originally designed to function as phase converters, in
fact most VFDs are powered from a three phase source. When
used in this manner, six input diodes rectify the 3-phase
input signal and are used to charge up the DC link
capacitor. If a single-phase
source is used instead, then 2 of the input diodes go unused
and all of the current into the unit has to be carried by
the remaining 4 diodes. Also, the ripple current in the DC
link capacitor will be significantly larger, so the power
handling capability of all these components has to be
increased if the unit is to be powered from a single-phase
source. This type of input rectifier typically produces
large harmonic distortion in the input current. Table 2
below gives typical values of the harmonic distortion
expressed as a percentage of the fundamental component of
the input current at 60 Hz.
Table 2
VFD Input Harmonic Content
|
Harmonic |
3rd |
5rd |
7rd |
9rd |
11rd |
13rd |
15th |
|
Percent |
73.2 |
36.6 |
8.1 |
5.7 |
4.1 |
2.9 |
0.8 |
The harmonic
component of the current will be a problem when the current
flowing into the VFD is a significant portion of the total
current load that the step-down transformer is capable of
delivering. If a very large VFD is used or if multiple
smaller VFDs are all attached to the same line then there
may be problems. The relatively large current drawn by the
input circuit of the VFD at the peak of the voltage sine
wave can distort the voltage waveform and cause problems for
other users on the power system. Input line reactors are
often used between the VFD and the power system to help
alleviate this problem.
VFDs are
designed to drive a single motor load. The manufacturer's
recommendations usually are that the wires to the motor be
solidly connected to the VFD and that the connections not be
broken under normal operating conditions. That is, one would
not normally install a contactor between a VFD and a motor
because the high voltage and arcing that are a normal part
of the contactor opening and closing can have unpredictable
effects on the semiconductor switches in the VFD and
increase the risk of failure. If multiple loads are
connected to a VFD with individual contactors for each
separate load, the VFD may not be able to handle the current
surges which occur when individual loads are switched on and
off. If a VFD were connected to a piece of equipment which
contained 3-phase
motors as well as other controls, it is very likely that
both the VFD and the equipment would be damaged. For
example, if there were any capacitors in the equipment
connected directly across the VFD outputs, the VFD would
have to shut down immediately or be destroyed by the
extremely high currents that would flow when the output
voltage pulses were applied to the capacitors.
The starting
sequence of a VFD is carefully controlled to avoid damage.
When the start button is pushed, the pulse sequence to the
output switches is adjusted so that the average voltage
applied across the motor has a low value, with low
frequency. As the motor starts to spin, the voltage is
allowed to increase and the frequency is increased until the
motor reaches full operational speed. A start at full
voltage and max frequency would overload the output
switches. If a VFD is putting out full voltage at 60 Hz to
one motor on its output, and a second motor is suddenly
connected by closing a contactor, then the VFD will probably
either shut down if it can respond to the overload, or be
damaged if it can't.
The
circuitry in a VFD does not allow power to flow from the
motor back to the power system, as is required when the
motor acts as a brake. If the application requires this
feature, then one or more braking resistors and additional
switches must be added to the VFD so that this power is
absorbed without destroying either the output switches or
the DC link capacitor. Rotary and static phase converters
intrinsically have the ability to absorb braking currents
because two of the wires to the motor are connected directly
to the supply system. A Phase Perfect unit is able to feed
power from the generated phase back into the power system as
well.
The output
voltage from a VFD is not sinusoidal, but rather a series of
pulses which have average values that are sine waves. The
switches that control these pulses have to make their on/off
transitions very rapidly (in about 0.2 microsecond) for the
VFD to operate efficiently. The high frequency components of
these pulses travel from the VFD to the motor through the
connecting wires, which become an electrical transmission
line. Transmission line effects are normally not a problem
at 60 Hz to the average user because the wavelength of a 60
Hz signal is about 2200 miles (assuming the signal travels
at 0.8 x the speed of light in the wires). However, at 5 MHz
the wavelength drops to about 180 feet and the effects
become important. The electrical impedance of the
transmission line is unpredictable but typically has values
between a few tens of ohms to a few hundred ohms. On the
other hand, the impedance of the motor and the VFD is
usually just a few ohms. This mismatch between the line
impedance and the impedance of the terminations at the motor
and the drive causes standing wave patterns to be set up in
the line with resultant voltages that can be much larger
than the voltage at the drive output. These standing-wave
voltages can damage the wiring, the motor and the drive. If
the distance between the VFD and the motor is short (less
that 10 feet), there shouldn't be any problem. As the
distance approaches 50 feet or more, most VFD manufacturers
recommend that output line filters be used on each of the
output leads.
In their
simplest form these filters consist of an inductor in series
with each output line with a capacitor connected to the
second terminal of each inductor. The other terminal of each
capacitor is connected to a common point. This filtering
does not make the output voltages sinusoidal, and so even
with filtering, residual harmonics may have some impact on
the wire and motor in installations where the motor and
drive are far apart At distances of 200 feet or more, as
would be typical for a deep-well submersible pump, output
line filters are a necessity and will add to the cost of the
drive installation.
Phase
Perfect Digital Phase Converters
Both rotary and static converters have
difficulty adjusting voltage balance to accommodate changing
load conditions. Voltage regulation schemes for rotary
converters are available which switch in different amounts
of capacitance as the load changes. However, it is still
difficult to get good control, and the high current pulses
created in the system as the capacitors are switched in and
out can be a problem. What is needed is a circuit
configuration that can quickly adapt to changing load
conditions.
The Phase
Perfect system is similar to static and rotary phase
converters in that two of the phase leads to the load come
directly from the power line. At that point the similarity
ends.

Power to generate the
voltage for the third lead flows into the digital phase
converter through an inductor and a set of semiconductor
switches which feed a DC (constant voltage) link
capacitor. The switches on the input can control the
waveform of the input current and insure that it is
sinusoidal, so as not to create harmonic distortion on the
power grid. The DC link capacitor is connected to a second
set of semiconductor switches which feed a second inductor
and a filter capacitor to smooth out the high-frequency
pulses created by the switches.
The system
is controlled by a small microcontroller, specifically a
digital signal processor (DSP) which can measure voltages
and feed controlled pulses into the switches, in addition to
performing high-speed calculations. The DSP is constantly
monitoring the system voltages and current to insure that
the input current is sinusoidal, and the output voltage is
also sinusoidal. The output voltage can be made equal in
magnitude to the input voltage to an accuracy that is
primarily determined by the measurement accuracy of the DSP.
Typically,
the line-line output voltages of Phase Perfect are
balanced to within 1-2%. As the load on the system changes,
the DSP senses any drop in the voltage and adjusts the
pulses to the semiconductor switches to maintain this
accuracy from no load up to full load. Any motor load, or
any combination of motors up to the maximum rating of the
digital phase converter can be connected without creating
unbalanced voltages. This is the first product to apply
modern technology to the problem of phase conversion.
Power
Quality
Voltage
Balance
Because the voltages from a Phase Perfect
converter will be balanced as long as the total load on the
converter is less than or equal to its load rating, there
isn't any engineering work required by the customer. If you
examine the product literature provided by manufacturers of
rotary phase converters, one thing conspicuously absent is
any mention of the phase balance provided by the
converter. Since a rotary converter has no control over the
output voltage, each motor and each load represents a
different situation and manufacturer is not able to predict
how their converter will behave.
Sensitive
CNC equipment may not even turn on if it is powered by a
rotary converter. In the example of the 7.5 HP rotary
converter used in a machine shop where one of the line-line
voltages from the rotary converter was at 280 V, the
electronics unit of a CNC would probably be damaged if it
were operated at such a high voltage. A typical utility
standard for voltage balance is nominal voltage +/-10%, so a
Phase Perfect converter is achieving voltage balance about
5-10 times better than what the utility can guarantee.
Harmonic Distortion
The harmonic distortion limit for utility
power on 2.3-6.9 kV lines (which covers most distribution
lines) is 5.0% for total harmonic distortion, and 3.0%
maximum for an individual harmonic1. The harmonic
content in the output of a typical Phase Perfect
converter is given below in Table 3. The n=2,3
etc. values represent the amplitudes of the sub-components
of the output voltage at frequencies of 2 x 60, 3 x 60Hz,
etc. expressed as a percentage of the voltage at 60 Hz. The
total harmonic output is the square root of the sum of the
squares of the individual components. It can be seen that
the amplitudes of the individual components as well as the
total harmonic output are better than what utility supplied
3-phase power is expected to
provide.
Table 3
Phase Perfect Output Harmonic Content
|
Harmonic |
2nd |
3rd |
4th |
5th |
6th |
7th |
Total |
|
Percent |
1.41 |
2.7 |
0.38 |
0.86 |
0 |
1.16 |
3.4 |
The input
current to a Phase Perfect is sinusoidal with low harmonic
current. Typical values of the harmonic components are
given below in Table 4.
Table 4
Phase Perfect Input Harmonic Content
|
Harmonic |
2nd |
3rd |
4th |
5th |
6th |
7th |
Total |
|
Percent |
.72 |
1.13 |
0.04 |
1.6 |
0.03 |
0.98 |
2.3 |
Power Factor
The total current into a digital phase
converter with a motor running at full load will have a
phase angle which leads the input voltage by about 5
degrees. This is referred to as a leading power factor and
in this case is about 0.99. A typical induction motor has a
lagging power factor of about 0.85 and the combination of a
rotary phase converter and induction motor load has a
combined power factor as low as 0.6. Power factor is
important because for a given load in kilowatts the current
supplied has to increase as the power factor decreases.
Let's take
an example of a 10 Hp single-phase load supplied from 240 V
single phase with unity power factor. The required
single-phase
current to supply this load is:
I=10Hp(746 Watts/Hp)/240v =31 amps.
If the power
factor drops to PF=0.6, the current required is:
I=31
amps/0.6 =51.8 amps.
The
increased current caused by the poor power factor will
require larger wire sizes and larger switch gear than the
load with unity power factor.
Protection for the Load
Phase Perfect’s digital computer
control and inherent design characteristics provide
protection for the operated load that other phase converters
and utility three-phase do not offer. It is programmed to
shut down in overvoltage and undervoltage conditions, and
provides inherent protection against single-phasing that can
occur with utility three-phase service. Some models are also
rated as a motor starter and include a breaker switch,
contactor and adjustable overload relay. In most single
motor applications this reduces cost by eliminating the need
for a separate starter panel. A control circuit is also
integrated into many models, which allows a remote switch to
control both the converter and the load.
Conclusion
A Phase Perfect digital phase
converter provides excellent power quality with voltage
balance under all load conditions, near unity power factor
and essentially no harmonic distortion on both the input and
output. Consequently, it can safely power virtually any
three-phase load within its rated capacity. Three-phase
applications such as submersible pumps, center pivot
irrigation, machine tools, saw mills, elevators, HVAC
equipment and CNC equipment can be powered easily and
reliably in areas where three-phase power is not available.
Even when
three-phase transmission lines are nearby, small or medium
sized applications may not justify the cost of installing
three-phase service. In these cases, Phase Perfect
offers an affordable alternative source of three-phase power
from a single-phase source.
1. C.K.
Duffey and R.P. Stratford, "Update of Harmonic Standard
IEEE-519 IEEE Recommended Practices and Requirements for
Harmonic Control in Electric Power Systems," IEEE IAS
Transactions, Nov./Dec. 1989, pp. 1025-1034
2. Cooper
Bussman, “Motor Protection Against Single-Phasing”, Bulletin
PSP
Phase Perfect Case Study
Study
Design
A 10 HP model DPC-10 Phase Perfect
digital phase converter was connected to two legs of a 208V
grounded wye three-phase service.The converter generated the
third leg voltage. Two loads were connected to the output of
the phase converter. One was a centrifugal pump powered by a
7.5 HP three-phase motor, the other a squirrel cage fan
powered by a 3 HP three-phase motor. A load distribution
panel allowed the loads to be switched in or out of the
circuit independently.
Measurements
The input voltage to the phase converter was
measured on terminals 1 and 2, and is referred to below as V12.
The generated voltage occurs on terminal 3. The voltages on
the phase converter output under various load conditions are
given in table 1 below.
Table 1
|
Load Condition |
V12 |
V13 |
V23 |
|
No load
3 Hp load
10.5 Hp load |
201.0 V
199.4 V
193.4 V |
204.3 V
201.1 V
194.1 V |
200.3 V
199.2 V
196.4 V |
The single-phase input current
supplied to the phase converter is expressed as Iin.
The currents measured on the output are I1,
I2 and I3, with I3 being
the generated phase. The phase currents and the total input
current to the system under the two loading conditions are
given in table 2 below.
Table 2
|
Load Condition |
I1 |
I2 |
I3 |
Iin |
|
3 Hp load
10.5 Hp load |
4.7 A
22.6 A |
4.6
A
23.6 A |
4.8
A
25.1 A |
7.6
A
39.0 A |
Results
The NEMA
definition for voltage imbalance is that the percentage
voltage imbalance is given by
|
% imbalance = |
(max. voltage on any line) |
- (average
voltage) |
|
average voltage |
A similar
equation gives the current imbalance. If this definition is
applied to the above results, the voltage imbalance is 1.2%
at no-load, 0.6% with a 3 Hp load, and 0.9% with a 10.5 Hp
load. The current imbalance is 2.1% with the 3 Hp load, and
5.6 % with the 10.5 Hp load.
As the load
on the system increased, the voltage supplied from the
service panel decreased as evidenced by the figures in table
1. This is due to voltage drop in the single-phase line
supplying the unit as the current demand reaches 39
amps. Larger wire supplying the phase converter or more
capacity in the utility service would reduce this voltage
drop. It is important to note that the digital phase
converter followed this drop in line voltage and balanced
the phases on the output.
Discussion
The voltage imbalance at the output of the
phase converter under all load conditions from zero to full
load did not exceed 1.2% which is significantly better than
the +/- 10% value that utility power is expected to
maintain. The above result was obtained with no adjustments
to the phase converter, that is, the unit self corrected to
maintain the above voltage balance with no operator
intervention.
The current
imbalance to the motors never exceeded 5.6%. This amount of
current imbalance would have no perceptible impact on the
life or proper functioning of the motor. The overall power
factor of the system when it was operating at full load was
0.99. The near unity power factor reduces the input current
to the system and under some utility billing programs will
significantly reduce the power costs to the user.
|