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ASHRAE Rocky Mountain Chapter
VFD Fundamentals
April 16, 2010
Jeff Miller - 
2010
What is a Drive / VFD/ AFD?
0
230
460
Volts
Hertz
30 60
460 V
60 Hz
= 7.67
V
Hz
230 V
60 Hz
= 3.83
V
Hz
If 230 VAC Power Line:
230 V Motor
460
V
M
otor
What is a Drive?
Motor
L1
L2
L3
C
L
Input Converter
(Diode Bridge)
Output Inverter
(IGBT’s)
DC Bus
(Filter)+
_
+
_
+
_
+
_
+ +
_ _
What is a Drive?
A variable frequency drive converts incoming 60 Hz utility
power into DC, then converts to a simulated variable voltage,
variable frequency output
VFD Fundamentals
60 Hz Power
Electrical Energy
ABB
Zero - 120 Hz
To
Motor
VFD
RECTIFIER
(AC - DC)
INVERTER
(DC - AC)
AC DC AC
VFD
Zero - 120 Hz60 Hz
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Area Under The Square-Wave Pulses
Approximates The Area Under A Sine Wave
Frequency
Voltage
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
How Often You Switch From Positive
Pulses To Negative Pulses Determines
The Frequency Of The Waveform
Frequency
Voltage
Frequency = 30Hz
Frequency = 60Hz
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Motor
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Motor
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Motor
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Motor
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Motor
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Motor
RECTIFIER
Positive
DC Bus
Negative
DC Bus
+
-
INVERTER
Motor
Non-Linear Loads?
• Loads which draw non-sinusoidal
current from the line:
– Non-incandescent lighting
– Computers
– Uninterruptible power supplies
– Telecommunications equipment
– Copy machines
– Battery chargers
– Electronic variable speed drives
– Any load with a solid state AC to DC
power converter
Typical AC Drive Configuration
M
460VAC
3-phase
650VDC
Simulated AC
(PWM)
All AC Drives rectify AC to DC, then convert to simulated AC
(PWM) to provide the motor Variable voltage and Frequency. The
AC to DC conversion generates harmonics.
Harmonics — Definitions
• Non-linear loads draw current in a non-sinusoidal or
distorted manner
• Harmonics or harmonic content is a mathematical
concept implemented to allow quantification and
simplified analysis of non-linear waveforms
• Harmonics are typically present in both network
currents and network voltages
• Non-linear current draw creates non-linear voltage as it
flows through the electrical network
– Current harmonics → Voltage harmonics
Harmonic
Frequencies
Fundament
al
5th Harmonic
7th harmonic
11th Harmonic
13th Harmonic
17th Harmonic
19th Harmonic
60 Hz
300 Hz
420 Hz
660 Hz
780 Hz
1020 Hz
1140 Hz
The Theory: Fundamental, 5th
and 7th
Harmonics
f5 300= ω5 2π f5×= i5 t( ) 0.32 cos ω5 t× π−( )×=
f7 420= ω7 2π f7×= i7 t( ) 0.09 cos ω7 t× π−( )×=
0 0.005 0.01 0.015 0.02 0.025 0.03
1
0.5
0
0.5
1
i1 t( )
i5 t( )
i7 t( )
t
Fundamenta
l
5th
7th
iT t( ) i1 t( ) i5 t( )+ i7 t( )+=
0 0.005 0.01 0.015 0.02 0.025 0.03
1.5
1
0.5
0
0.5
1
1.5
iT t( )
t
Components
Summation
Harmonic Content, 6- Pulse Drive
PWM Drive Harmonic Input Spectrum
5th
7th
Fundamental
11th
13th
– Harmonic Current Distortion —
• Added heating in transformers and
cables, reduces available capacity
• May stimulate a resonance condition
with Power Factor Correction
Capacitors
–Excessive voltage
–Overheating of PF correction capacitors
–Tripping of PF protection equipment
Voltage Distortion interfering w/ sensitive
equipment. Largest Concern!
Harmonics — Why worry?
– Harmonics produced by an individual load are only
important to the extent that they represent a significant
portion of the total connected load
– Linear loads help reduce system harmonic levels
– TDD equals the THD of the nonlinear load multiplied by
the ratio of nonlinear load to the demand load:
Harmonics — A System Issue!
DL
NL
THDTDD NL ⋅=Where
TDD = TDD of the system
THDNL = THD of the nonlinear loads
NL = kVA of nonlinear load
DL = kVA of demand load
(nonlinear + linear)
Harmonics — By the Numbers
Table 10.2
Low-Voltage System Classification and Distortion Limits
Special
Applications
General
System
Dedicated
System
Notch Depth 10% 20% 50%
THD (Voltage) 3% 5% 10%
Notch Area, µVs 16,400 22,800 36,500
Note: Notch area for other than 480 V systems should be multiplied by V / 480.
IEEE 519 - 1992
Harmonics — By the Numbers
(cont.)
Table 10.3
Current Distortion Limits for General Distribution Systems
ISC / IL <11 11≤h<17 17≤h<23 23≤h<35 35≤h TDD
<20 4.0 2.0 1.5 0.6 0.3 5.0
20<50 7.0 3.5 2.5 1.0 0.5 8.0
50<100 10.0 4.5 4.0 1.5 0.7 12.0
100<1000 12.0 5.5 5.0 2.0 1.0 15.0
Note: All harmonic current levels are in percent with fundamental current IL as the base.
IEEE 519 - 1992
Harmonics — Attenuation Options
• Reactors (Chokes)
• Passive Filters
– Harmonic Trap
– Hybrid
• High Pulse Count
Rectification
• Active Filters
– Drive Front End
– Stand Alone
Reactors (Chokes)
• Simplest and least
expensive harmonic
reduction technique
• May be included in base
drive package
• Often meet harmonic
needs provided drive
load is a small portion
of total connected load
• May be implemented
with AC line reactors or
with DC link reactors
– AC line reactors provide
better input protection
– DC link reactors provide
load insensitive drive
output voltage
– Both types provide
similar harmonic
benefits
• “Swinging” choke
design provides
enhanced light load
harmonic performance
Reactors, AC Line or DC Link
A C L in e
R e a c t o r
M
D C L in k
R e a c t o r
M
• Different design
techniques
• Equal harmonic
reduction for same
normalized
% reactance
• Typical full load
THD (current) at
drive input
terminals
28% → 46%
Hybrid Filter
• Installs in series with
drive input
• May feed multiple
drives
• Improves power factor
(may go leading)
• Typical full load THD
(current) at filter input
terminals
5% → 8%
• Relatively unaffected
by line imbalance
High Pulse Count Rectification
• Typical configurations are either 12 pulse or 18
pulse
• Phase shifting transformer is required
• Additional drive input bridge(s) is needed
• Typical full load THD (current) at transformer
primary 8% → 12% (12 pulse), 4% → 6% (18
pulse)
• Performance severely reduced by line
imbalance (voltage or phase)
• Excellent choice if step-down transformer is
already required
High Pulse Count Rectification
(cont.)• 6 pulse rectifier
Transformer and
cabling simple
Current very distorted
Ithd typically 45% with
3% reactor
DC/AC
DC/AC
Transformer and cabling
complicated
Current distorted
Ithd 8% to 12% (depending
on network impedance)
• 12 pulse rectifier
• 18 pulse rectifier
DC/AC
Transformer and cabling
complicated
Current wave form good
Ithd 4% to 6% (depending on
network impedance)
Active Filter Front End with LCL Filter
 LCL Filter (Sine Filter) removes high frequencies >1 kHz.
(Current and voltage)
 Full output voltage is available with 80% input voltage
(400VIn = 480VOut)
 Full regenerative capability
 No transformer required
 Not affected by line imbalance
LCL filter
Line
inverter
(rectifier)
Motor
inverter Motor
L L
C
M
Remember!
Even an 80% THD nonlinear load with a will result in only 8%
TDD if the nonlinear load is 10% and the linear load is 90%.
(80%•(10%/(10%+90%))=8%)
Harmonic Reduction Summary
Effectiveness of Harmonic Mitigation Techniques
(Assuming 100% Nonlinear Loading, ISC / IL = 60)
Technique
THD
(Current)
Harmonic
Reduction
No mitigation (reference level) 72% 
3% line reactors (or equivalent DC link reactor) 39% 45.8%
5% line reactors (or equivalent DC link reactor) 33% 54.2%
5% line reactors + 5th
harmonic trap filter 12% 83.3%
12 pulse input rectifier with 5% impedance transformer 10% 86.1%
Hybrid filter 7% 90.3%
18 pulse input rectifier with 5% impedance transformer 5% 93.1%
12 pulse input rectifier with 5% impedance transformer
+ 11th
harmonic trap filter
4% 94.4%
Active harmonic filter 3.5% 95.1%
Summary – Practical Advice
• With a main distribution transformer, 20-30% of its
load on non-linear loads will typically comply with
IEEE 519-1992
• Voltage distortion causes interference with sensitive
equipment, not current distortion!
• 5% reactors address 90+% of typical applications.
They also provide protection against line transients
and keep input currents low to avoid oversizing power
wiring to comply with NEC.
• Make VFD vendor perform a harmonic distortion
calculation with the submittals.
PEAK: 1,040 volts
Peak Voltage all at 50’ of cable
Peak Voltage has
many Contributing
Factors
Inverter Rated
Motors Help
Minimize the Issue
Less dV/dT
minimizes; problems
with RFI/EMI Motor
Insulation & Bearing
Current
Drive
Peak
Voltage
1 1040
2 1110
3 1180
4 1290
5 1350
6 2454
Recommendations
• Keep cable length short as possible
• Use a NEMA MG1, Part 31 motor (not
“inverter duty” or “inverter ready”
• Ensure that grounding is sound
VFD Fundamentals

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