Title: HARMONIC TREATMENT IN INDUSTRIAL POWER SYSTEMS
1HARMONIC TREATMENT IN INDUSTRIAL POWER SYSTEMS
- Presented by
- Stefanos Manias
2CONTACT INFORMATION
- Stefanos N. Manias
- National Technical University of Athens
- Phone 3010-7723503
- FAX 3010-7723593
- E-mail manias_at_central.ntua.gr
- Mailing Address
- National Technical University of Athens
- Department of Electrical and Computer Engineering
- 9, Iroon Polytechniou Str, 15773 Zografou
- Athens, Greece
3PLAN OF PRESENTATION
- DEFINITIONS
- CATEGORIES OF POWER QUALITY VARIATIONS
- HARMONIC DISTORTION SOURCES IN INDUSTRIAL POWER
SYSTEMS - EFFECTS OF HARMONICS ON ELECTRICAL EQUIPMENT
- HARMONIC MEASUREMENTS IN INDUSTRIAL POWER SYSTEMS
- HARMONIC STANDARDS
- HARMONIC MITIGATING TECHNIQUES
- GENERAL PASSIVE AND ACTIVE FILTER DESIGN
PROCEDURES - DESIGN EXAMPLES
- CONCLUSIONS
4WHY HARMONIC ANALYSIS ?
- When a voltage and/or current waveform is
distorted, it causes abnormal operating
conditions in a power system such as - Voltage Harmonics can cause additional heating in
induction and synchronous motors and generators. - Voltage Harmonics with high peak values can
weaken insulation in cables, windings, and
capacitors. - Voltage Harmonics can cause malfunction of
different electronic components and circuits that
utilize the voltage waveform for synchronization
or timing. - Current Harmonics in motor windings can create
Electromagnetic Interference (EMI).
5- Current Harmonics flowing through cables can
cause higher heating over and above the heating
that is created from the fundamental component. - Current Harmonics flowing through a transformer
can cause higher heating over and above the
heating that is created by the fundamental
component. - Current Harmonics flowing through circuit
breakers and switch-gear can increase their
heating losses. - RESONANT CURRENTS which are created by current
harmonics and the different filtering topologies
of the power system can cause capacitor failures
and/or fuse failures in the capacitor or other
electrical equipment. - False tripping of circuit breakers ad protective
relays.
6HARMONIC SOURCES
a) Current Source nonlinear load
Thyristor rectifier for dc drives,
heater drives, etc.
Per-phase equivalent circuit of thyristor
rectifier
b) Voltage source nonlinear load
Diode rectifier for ac drives, electronic
equipment, etc
Per-phase equivalent circuit of diode rectifier
7INPUT CURRENT OF DIFFERENT NOLINEAR LOADS
8(No Transcript)
9CURRENT HARMONICS GENERATED BY 6-PULSE CSI
CONVERTERS
CURRENT HARMONICS GENERATED BY 12-PULSE CSI
CONVERTERS
10RECENT CURRENT MEASUREMENTS TAKEN IN
AN INDUSTRIAL PLANT WITH 600 KVA, 20 KV/400
V DISTRIBUTION TRANFORMER
Current waveform and its respective spectrum at
the inputs of a motor drive system
11Current waveform and its respective spectrum at
the inputs of a motor drive system
12Current waveform and its respective spectrum at
the secondary of the distribution transformer (
i.e. at the service entrance)
13DEFINITIONS
f (t) Fourier Series of a periodic function f
(t)
(1)
(2)
(3)
(4)
h harmonic order
14Percentage of the Total Harmonic Distortion of a
nonsinusoidal voltage waveform
(5)
Percentage of the Total Harmonic Distortion of a
nonsinusoidal current waveform
(6)
harmonic component of the voltage
harmonic component of the current
RMS value of the voltage distortion
15RMS value of the current distortion
RMS value of a nonsinusoidal current
(7)
RMS value of a nonsinusoidal voltage
(8)
(9)
(10)
Harmonic Factor
16Full load kVA rating of the Drive system
Short Circuit kVA of the distribution system
at the point of connection
SINUSOIDAL VOLTAGE NONSINUSOIDAL CURRENT
(11)
(12)
(13)
17(14)
(15)
NONSINUSOIDAL VOLTAGE AND NONSINUSOIDAL CURRENT
(16)
(17)
18(18)
(19)
19(20)
(21)
(22)
(23)
20- Harmonic sequence is the phase rotation
relationship with respect to the fundamental
component. - Positive sequence harmonics ( 4th, 7th,
10th , . (6n1) th ) have the same phase
rotation as the fundamental component. These
harmonics circulate between the phases. - Negative sequence harmonics ( 2nd, 5th, 8th
(6n-1) th ) have the opposite phase rotation
with respect to the fundamental component. These
harmonics circulate between the phases. - Zero sequence harmonics ( 3rd, 6th, 9th,
.. (6n-3) th ) do not produce a rotating field.
These harmonics circulate between the phase and
neutral or ground. These third order or zero
sequence harmonics, unlike positive and negative
sequence harmonic currents, do not cancel but add
up arithmetically at the neutral bus.
21EXAMPLE 1
SINUSOIDAL VOLTAGE-NONSINIMUSOIDAL CURRENT
A periodic, sinusoidal voltage of instantaneous
value
Is applied to a nonlinear load impedance. The
resulting instantaneous current is
given by
Calculate the components P, Q, D of the apparent
voltamperes and hence calculate the displacement
factor, the distortion factor and the power
factor.
Solution
The presence of the nonlinearity causes frequency
components of current (i.e. the
second and third harmonic terms) that are not
present in the applied voltage.
The rms voltage and current at the supply are
22 The apparent voltamperes at the input is
therefore given by
In this example only the fundamental frequency
components are common to both voltage and
current. Therefore, the real power P and the
apparent power Q are
displacement angle between the fundamental of
the voltage and the fundamental of the current
23 Displacement factor
Distortion factor
Therefore, the power factor is
24EXAMPLE 2
NONSINUSOIDAL VOLTAGE-RL LOAD
A periodic, sinusoidal voltage given by
is applied to a series, linear,
resistance-inductance load of resistance 4O and
fundamental frequency reactance 10O.
Calculate the degree of power factor improvement
realizable by capacitance
Compensation when
Solution. The rms terminal voltage is given
by
Therefore
25The instantaneous load current is given by
The rms load current
is therefore given by
26Apparent voltamperes
at the load terminals in the absence of
capacitance is
therefore
Average power
In this case is
The power factor before compensation is therefore
27EXAMPLE 3
NONSINUSOIDAL VOLTAGE AND NONSINIMUSOIDAL CURRENT
A periodic, nonsinusoidal voltage with
instantaneous value given by
is applied to a nonlinear impedance.
The resulting current has an instantaneous value
given by
Calculate the components
of the load apparent voltamperes
and compare thee with the classical values
respectively.
Solution.
Note that the presence of the load nonlinearity
causes a frequency component of load current
(I.e. the third harmonic term) that is not
present in the supply voltage.
28The rms voltage and current at the supply are
given by
The load apparent voltamperes
therefore has a value defined in terms
and
Instantaneous expressions of the hypothetical
currents
are given by
29Note that current components
contain only those harmonic terms which
are common to both voltage and current. These are
therefore consistent with the
terms.
The rms load current components
are found, as expected to sum
to the total rms load current
Components
of the apparent voltamperes can now be obtained
30The component voltamperes are seen to sum to the
total apparent voltamperes
Components
of
are found as follows
31From the possible compensation viewpoint it is
interesting to note that
and
differ by significant amount.
could be defined as that component of the load
apparent voltamperes that
Is obtained by the combination of supply voltage
harmonics with quadrature
Components of corresponding frequency load
current harmonics.
32Similarly the definition of active voltamperes
could be given by that
component of the load apparent voltamperes that
is obtained by the combination
of supply voltage harmonics with in-phase
components of corresponding
frequency load current harmonics.
Both
and
are entirely fictitious and non-physical. The
active
voltamperes
Is not to be compares in importance with the
average power
which is a real physical property of the circuit.
Term
Is merely the
analytical complement of term
the energy-storage reactive voltamperes, is that
component
Term
of the load apparent voltamperes that can be
entirely compensated (for sinusoidal
supply voltage) or minimized (for nonsinusoidal
supply voltage) by energy-storage
methods.
33Voltage and current profiles in a commercial
building
34HARMONIC STANDARDS
- International Electrotechnical Commission (IEC)
European Standards. - - EN 61000-3-2 Harmonic Emissions standards
were first published as IEC 55-2 1982 and applied
only to household appliances. It was revised and
reissued in 1987 and 1995 with the applicability
expanded to include all equipment with input
current 16A per phase. However, until January
1st, 2001 a transition period is in effect for
all equipment not covered by the standard prior
to 1987. - - The objective of EN 61000-3-2 (harmonics) is
to test the equipment under the conditions that
will produce the maximum harmonic amplitudes
under normal operating conditions for each
harmonic component. To establish limits for
similar types of harmonics current distortion,
equipment under test must be categorized in one
of the following four classes. -
35- CLASS-A Balanced three-phase equipment and
all other equipment - except that stated in one
of the remaining three classes. - CLASS-B Portable electrical tools, which are
hand held during normal - operation and used for a
short time only (few minutes) - CLASS-C Lighting equipment including dimming
devices. - CLASS-D Equipment having an input current
with special wave shape - ( e.g.equipment with
off-line capacitor-rectifier AC input - circuitry and switch Mode
power Supplies) and an active - input power 600W.
- - Additional harmonic current testing,
measurement techniques and instrumentation
guidelines for these standards are covered in IEC
1000-4-7.
36- IEEE 519-1992 United States Standards on
harmonic limits - IEEE limits service entrance harmonics.
- The IEEE standard 519-1992 limits the level of
harmonics at the customer service entrance or
Point of Common Coupling (PCC). - With this approach the costumers current
distortion is limited based on relative size of
the load and the power suppliers voltage
distortion based on the voltage level. - IEEE 519 and IEC 1000-3-2 apply different
philosophies, which effectively limit harmonics
at different locations. IEEE 519 limits harmonics
primarily at the service entrance while IEC
1000-3-2 is applied at the terminals of end-user
equipment. Therefore, IEC limits will tend to
reduce harmonic-related losses in an industrial
plant wiring, while IEEE harmonic limits are
designed to prevent interactions between
neighbors and the power system.
37POWER QUALITY STANDARDS IEEE 519-1992
STANDARDS
TABLE I CURRENT DISTORTION LIMITS FOR GENERAL
DISTRIBUTION SYSTEMS (120-69000 V)
38TABLE II LOW VOLTAGE SYSTEM CLASSIFICATION AND
DISTORTION LIMITS IEEE 519-1992 STANDARTS
39TABLE III LIMITS OF THD IEEE 519-1992 STANDARDS
40TABLE IVPROPOSED IEC 555-2 CLASS D STANDARDS for
power from 50 to 600W
41METHODOLOGY FOR COMPUTING DISTORTION
- Step 1 Compute the individual current harmonic
distortion at each dedicated bus using different
Software programs (i.e. SIMULINK, SPICE, e.t.c.)
or tables that provide the current distortion of
nonlinear loads. - Step 2 Compute the voltage and current
harmonic content at the Point of Common Coupling
(PCC) which is located at the input of the
industrial power system. - - Each individual harmonic current
at the PCC is the sum of harmonic current
contribution from each dedicated bus. - - The load current at PCC is the
sum of the load current contribution from each
dedicated bus. - - The maximum demand load current
at PCC can be found by computing the load
currents for each branch feeder and multiply by a
demand factor to obtain feeder demand. Then the
sum of all feeder demands is divided by a
diversity factor to obtain the maximum demand
load current.
42- Step 3 Choose a base MVA and base KV for the
system use the following equations in order to
compute individual and total current and voltage
harmonic distortions at PCC and any other point
within the power system.
Ib Base current in Amps
(24)
(25)
System impedance
MVAb Base MVA, MVAsc short circuit MVA at
the point of interest
VH Percent individual harmonic voltage
distortion
(26)
43(27)
h harmonic order
(28)
IH Percent individual harmonic distortion
Isc Short Circuit current at the point under
consideration.
IL Estimated maximum demand load current
S.C. Ratio Short circuit Ratio
(29)
MVAD Demand MVA
44K Factor Factor useful for transformers design
and specifically from
transformers that feed
Adjustable Speed Drives
(30)
ONCE THE SHORT CIRCUIT RATIO IS KNOWN, THE IEEE
CURRENT HARMONIC LIMITS CAN BE FOUND AS SPECIFIED
IN TABLE I OF THE IEEE 519-1992 POWER QUALITY
STANDARDS
USING THE ABOVE EQUATIONS VALUES OF IDIVINDUAL
AND TOTAL VOLTAGE AND CURRENT HARMONIC DISTORTION
CAN BE COMPUTED AND COMPARED WITH THE IEEE LIMITS
45- Step 4 If the analysis is being performed for
CSI-type drives then the area of the voltage
notch AN should also be computed. - At this point an impedance diagram of the under
analysis industrial power system should be
available. - The Notch Area AN at the PCC can be calculated
as follows.
AN AN1 AN2 . V . microsec
(31)
AN1 , AN2 , are the notch areas contribution
of the different busses
(32)
ANDR1 Notch area at the input of the drive
46Step 5 Determine preliminary filter design.
Step 6 Compute THDv and THDi magnitudes and
impedance versus frequency plots with filters
added to the system, one at a time. SIMULINK or
PSPICE software programs can be used for final
adjustments.
Step 7 Analyze results and specify final filter
design.
47EXAMPLE OF A SYSTEM ONE LINE DIAGRAM
48System impedances diagram which can be used to
calculate its resonance using PSPICE or SIMULINK
programs
49TYPES OF FILTERS
1) Parallel-passive filter for current-source
nonlinear loads
- Harmonic Sinc
- Low Impedance
- Cheapest
- VA ratings VT (Load Harmonic current
reactive current of the filter)
502) Series-passive filter for voltage-source
nonlinear loads
- Harmonic dam
- High-impedance
- Cheapest
- VA ratings Load current (Fundamental drop
across filter Load Harmonic Voltage)
513) Basic parallel-active filter for current
source in nonlinear loads
524) Basic series-active filter for voltage-source
in nonlinear loads
535) Parallel combination of parallel active and
parallel passive
6) Series combination of series active and series
passive
547) Hybrid of series active and parallel passive
8) Hybrid of parallel active and series passive
559) Series combination of parallel-passive and
parallel-active
10) Parallel combination of series-passive and
series-active
5611) Combined system of series-active and
parallel-active
12) Combined system of parallel-active and
series-active
57A SIMPLE EXAMPLE OF AN INDUSTRIAL POWER
DISTRIBUTION SYSTEM
58HARMONIC LIMITS EVALUATION WHEN
POWER-FACTOR-CORRECTION CAPASITORS ARE USED
- As it can be seen from the power distribution
circuit the power-factor-correction capacitor
bank, which is connected on the 480 Volts bus,
can create a parallel resonance between the
capacitors and the system source inductance. - The single phase equivalent circuit of the
distribution system is shown below.
Using the above circuit the following equations
hold
59(33)
(34)
The turns ratio of the transformer at PCC
(35)
(36)
60(37)
(38)
(39)
(40)
(41)
(42)
61The impedance looking into the system
from the load, consists of the parallel
combination of source impedance
and the capacitor impedance
(43)
(44)
The equation for can be used to determine
the equivalent system impedance for different
frequencies. The harmonic producing loads can
resonate (parallel resonance), the above
equivalent circuit. Designating the parallel
resonant frequency by (rad/sec) or (HZ)
and equating the inductive and capacitive
reactances.
62- Harmonic current components that are close to the
parallel resonant frequency are amplified. - Higher order harmonic currents at the PCC are
reduced because the capacitors are low impedance
at these frequencies. - The figure below shows the effect of adding
capacitors on the 480 Volts bus for power factor
correction.
This figure shows that by adding some typical
sizes of power factor correction capacitors will
result in the magnification of the 5th and 7th
harmonic components, which in turns makes it even
more difficult to meet the IEEE 519-1992 harmonic
current standards . - Power factor correction
capacitors should not be used without turning
reactors in case the adjustable speed drives are
gt10 of the plant load.
63EXAMPLE
- Let us examine an industrial plant with the
following data - Medium voltage 20KVLL
- Low voltage 0.4 KVLL
- Utility three phase short circuit power 250 MVA
- For asymmetrical current, the ratio of
system impedance
The Transformer is rated 1000 KVA, 20 KV-400
Y/230 V Rpu 1, Xpu 7
- - The system frequency is fsys 50 HZ.
- - For power factor correction capacitors the
following cases are examined - 200 KVAR
- 400 KVAR
- 600 KVAR
- 800 KVAR
64- The parallel resonant frequencies for every case
of power factor correction is calculated as
follows
65Case a
For 200 KVAR, the harmonic order at which
parallel resonance occurs is
66Case b
Case c
67Case d
It is clear for the above system that in the 600
KVAR case, there exists a parallel resonant
frequency close to the 5th harmonic.
68POWER FACTOR CORRECTION AND HARMONIC TREATMENT
USING TUNED FILTERS
- - Basic configuration of a tuned 3-f capacitor
bank for power factor correction and harmonic
treatment.
- Simple and cheap filter
- Prevents of current harmonic magnification
69- IN ORDER TO AVOID HARMONIC MAGNIFICATION WE
CHOOSE A TUNED FREQUENCY lt FITH HARMONIC (i.e
4.7) - The frequency characteristic of the tuned filter
at 4.7 is shown below
- As it can be seen from the above figure
significant reduction of the 5th harmonic is
achieved. Moreover, there is some reduction for
all the other harmonic components.
70The single phase equivalent circuit of the power
distribution system with the tuned filter is
shown below
Using the above circuit the following equations
hold
71(45)
Resonant frequency of the series filter
(46)
The new parallel combination is having resonant
frequency when
(parallel resonance)
resonance frequency of the equivalent
distribution circuit
(47)
Also
(48)
72(49)
(50)
(51)
73or 4.7 th harmonic
As it was discussed before Selecting
With KVcap 0.4 , KVARcap 600
The new parallel combination is having resonant
frequency
with
we have
(without Lf was 4.76)
74The following table shows the variation of
Parallel resonant frequency With and without
resonant inductor
75SIMULATED RESULTS USING MATLAB/SIMULINK
76SIMULINK RESULTS
77SIMULINK RESULTS
78ACTIVE FILTERING
Parallel type
Series type
79RESULTS OF ACTIVE FILTERING
Input current of a 6-pulse Rectifier driving a DC
machine without any input filtering
Input current with Active Filtering
80Typical 6-pulse drive voltage waveform
Voltage source improvement with active filtering
81SHUNT ACTIVE FILTERS
- By inserting a parallel active filter in a
non-linear load location we can inject a harmonic
current component with the same amplitude as that
of the load in to the AC system.
C
Equivalent circuit
82ADVANTAGES OF THE SHUNT OR PARALLEL ACTIVE FILTER
- Low implementation cost.
- Do not create displacement power factor problems
and utility loading. - Supply inductance LS, does not affect the
harmonic compensation of parallel active filter
system. - Simple control circuit.
- Can damp harmonic propagation in a distribution
feeder or between two distribution feeders. - Easy to connect in parallel a number of active
filter modules in order to achieve higher power
requirements. - Easy protection and inexpensive isolation
switchgear. - Easy to be installed.
- Provides immunity from ambient harmonic loads.
83WAVEFORMS OF THE PARALLEL ACTIVE FILTER
Source voltage
Load current
Source current
A. F. output current
84PARALLEL ACTIVE FILTER EQUATIONS
(52)
(53)
(54)
(55)
If
Then the above equations become
(56)
(57)
85(58)
Equation (55) is the required condition for the
parallel A.F. to cancel the load harmonic
current. Only G can be predesign by the A.F.
while Zs and ZL are determined by the system.
For pure current source type of harmonic source
and consequently equations (53) and (55) become
(59)
(60)
Source impedance
Is the equivalent harmonic current source
Equivalent load impedance
equivalent transfer function of the active
filter
Equation (59) shows that the compensation
characteristics of the A.F. are not influenced by
the source impedance, Zs. This is a major
advantage of the A.F. with respect to the passive
ones.
86- The DC bus nominal voltage, , must be
greater than or equal to line voltage peak in
order to actively control - The selection of the interface inductance of the
active filter is based on the compromise of
keeping the output current ripple of the inverter
low and the same time to be able to track the
desired source current. - The required capacitor value is dictated by the
maximum acceptable voltage ripple. A good initial
guess of C is
Also
peak line-neutral voltage
DC voltage of the DC bus of the inverter
Line phase current
maximum acceptable voltage ripple,
Phase current of the inverter
87P-Q THEORY
For identifying the harmonic currents in general
the method of computing instantaneous active and
reactive power is used. Transformation of the
three-phase voltages and and
the three-phase load currents and
into a-ß orthogonal coordinate.
88Then according to theory, the
instantaneous real power and the
instantaneous imaginary (reactive) power
are calculated.
where
DC low frequency comp. high freq. comp.
DC low frequency comp. high freq. comp.
89The conventional active power is corresponding to
, the conventional reactive power to
and the negative sequence to the 2 f components
of and .
The commands of the three-phase compensating
currents injected by the shunt active
conditioner, , and are
given by
Instantaneous real power command
Instantaneous reactive power command
90Substituting
Current Harmonics compensation is achieved
Current Harmonics and low frequency
variation Components of reactive power
compensation
Current Harmonics and low frequency
variation Components of active and reactive power
compensation
91HARMONIC DETECTION METHODS
- Load current detection iAF iLh
- It is suitable for shunt active filters
which are installed near one or more non-linear
loads.
ii) Supply current detection iAF KS iSh
Is the most basic harmonic detection method
for series active filters acting as a voltage
source vAF.
iii) Voltage detection It is suitable
for shunt active filters which are used as
Unified Power Quality Conditioners. This type of
Active Filter is installed in primary power
distribution systems. The Unified Power Quality
Conditioner consists of a series and a shunt
active filter.
92SHUNT ACTIVE FILTER CONTROL
a) Shunt active filter control based on voltage
detection
93Using this technique the three-phase voltages,
which are detected at the point of installation,
are transformed to and on the dq
coordinates. Then two first order high-pass
filters of 5HZ in order to extract the ac
components and from
and . Next the ac components are applied
to the inverse dq transformation circuit, so that
the control circuit to provide the three-phase
harmonic voltages at the point of installation.
Finally, amplifying each harmonic voltage by a
gain Kv produces each phase current reference.
The active filter behaves like a resistor 1/KV
ohms to the external circuit for harmonic
frequencies without altering the fundamental
components. The current control circuit compares
the reference current with the actual current
of the active filter and amplifies the error
by a gain KI . Each phase voltage detected at the
point of installation, v is added to each
magnified error signal, thus constituting a feed
forward compensation in order to improve current
controllability. As a result, the current
controller yields three-phase voltage references.
Then, each reference voltage is compared
with a high frequency triangular waveform to
generate the gate signals for the power
semiconductor devices.
94b) Reference current calculation scheme using
source currents (is), load currents (iL) and
voltages at the point of installation (vS).
953-f HYBRID ACTIVE-PASSIVE FILTER
Compensation of current harmonics and
displacement power factor can be achieved
simultaneously.
96In the current harmonic compensation mode, the
active filter improves the filtering
characteristic of the passive filter by imposing
a voltage harmonic waveform at its terminals with
an amplitude
97 If the AC mains voltage is pure sinusoidal, then
- THDi decreases if K increases.
- The larger the voltage harmonics generated by the
active filter a better filter compensation is
obtained. - A high value of the quality factor defines a
large band width of the passive filter, improving
the compensation characteristics of the hybrid
topology. - A low value of the quality factor and/or a large
value in the tuned factor increases the required
voltage generated by the active filter necessary
to keep the same compensation effectiveness,
which increases the active filter rated power.
98Displacement power factor correction is achieved
by controlling the voltage drop across the
passive filter capacitor.
Displacement power factor control can be achieved
since at fundamental frequency the passive filter
equivalent impedance is capacitive.
99HYBRID ACTIVE-PASSIVE FILTER
Single-phase equivalent circuit for 5th Harmonic
Single-phase equivalent circuit
100This active filter detects the 5th harmonic
current component that flows into the passive
filter and amplifies it by a gain K in order to
determine its voltage reference which is given by
As a result, the active filter acts as a pure
resistor of K ohms for the 5th harmonic voltage
and current. The impedance of the hybrid filter
at the 5th harmonic frequency, Z5 is given by
The active filter presents a negative resistance
to the external Circuit, thus improving the Q of
the filter.
101CONTROL CIRCUIT
The control circuit consists of two parts a
circuit for extracting the 5th current harmonic
component from the passive filter iF and a
circuit that adjusts automatically the gain K.
The reference voltage for the active filter
HARMONIC-EXTRACTING CIRCUIT
The extracting circuit detects the three-phase
currents that flow into the passive filter using
the AC current transformers and then the a-ß
coordinates are transformed to those on the d-g
coordinates by using a unit vector (cos5?t,
sin5?t) with a rotating frequency of five times
as high as the line frequency.
102 SERIES ACTIVE FILTERS
- By inserting a series Active Filter
between the AC source and the load where the
harmonic source is existing we can force the
source current to become sinusoidal. The
technique is based on a principle of harmonic
isolation by controlling the output voltage of
the series active filter. -
-
Equivalent Circuit
103- The series active filter exhibits high
impedance to harmonic current and consequently
blocks harmonic current flow from the load to the
source.
(61)
(62)
Equivalent transfer function of the detection
circuit of harmonic current, including delay time
of the control circuit.
(63)
104 A gain in pu ohms
The voltage distortion of the input AC source
is much smaller than the current distortion.
If
and
(64)
Then
(65)
(66)
105HYBRID SERIES AND SHUNT ACTIVE FILTER
- At the Point of Common Coupling provides
- Harmonic current isolation between the sub
transmission and the distribution system (shunt
A.F) - Voltage regulation (series A.F)
- Voltage flicker/imbalance compensation (series
A.F)
106SELECTION OF AF S FOR SPECIFIC APPLICATION
CONSIDERATIONSAF Configuration with higher
number of is more preferred
107CONCLUSIONS
- Solid State Power Control results in harmonic
pollution above the tolerable limits. - Harmonic Pollution increases industrial plant
downtimes and power losses. - Harmonic measurements should be made in
industrial power systems in order (a) aid in the
design of capacitor or filter banks, (b) verify
the design and installation of capacitor or
filter banks, (c) verify compliance with utility
harmonic distortion requirements, and (d)
investigate suspected harmonic problems. - Computer software programs such as PSPICE and
SIMULINK can be used in order to obtain the
harmonic behavior of an industrial power plant. - The series LC passive filter with resonance
frequency at 4.7 is the most popular filter. - The disadvantages of the the tuned LC filter is
its dynamic response because it cannot predict
the load requirements. - The most popular Active Filter is the parallel or
shunt type. - Active Filter technology is slowly used in
industrial plants with passive filters as a
hybrid filter. These filters can be used locally
at the inputs of different nonlinear loads. - Active Filter Technology is well developed and
many manufactures are fabricating Active filters
with large capacities. - A large number of Active Filters configurations
are available to compensate harmonic current,
reactive power, neutral current, unbalance
current, and harmonics. - The active filters can predict the load
requirements and consequently they exhibit very
good dynamic response. - LC tuned filters can be used at PCC and the same
time active filters can be used locally at the
input of nonlinear loads.
108REFERENCES
- RECOMMENDED PRACTICES ON HARMONIC TREATMENT
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