Overview ©1996 2013 ETAPOperation Technology, Inc – Workshop Notes Harmonics Harmonic Analysis Slide 2 ©1996 2013 ETAPOperation Technology, Inc Workshop Notes Harmonics Types of Power Quality Proble.
Trang 1Harmonic Analysis
Trang 2Types of Power Quality
Problems
Trang 4Harmonics
• One special category of power quality
problems
• “Harmonics are voltages and/or currents
present in an electrical system at some
multiple of the fundamental frequency.”
(IEEE Std 399, Brown Book)
Trang 61 1
3 2
Trang 7Harmonic Sources
• Utilities (Power Grid)
– Known as “Background Harmonic”
– Pollution from other irresponsible customers
Trang 8fractional-Harmonic Sources (cont’d)
• Transformers
– Due to magnetizing branch saturation
– Only at lightly loaded condition
– Usually a current source
• Power Electronic Devices
– Charger, Converter, Inverter, UPS, VFD, SVC, HVDC,
FACTS, … – Due to switching actions
Trang 9Harmonic Sources (cont’d)
• Other Non-Linear Loads
– Arc furnaces, discharge lighting, …
– Due to unstable and non-linear process
– Either a voltage source or a current source
• In general, any load that is applied to a
power system that requires other than a
sinusoidal current
Trang 10Harmonic I and V
Trang 12Phase Angle Relationship
• Fundamental Frequency
Trang 13Phase Angle Relationship
• Third Order
Trang 14Phase Angle Relationship
• Fifth Order
• Seventh Order
Trang 15Order vs Sequence
Trang 16Characteristic Harmonics
Trang 17Characteristic Harmonics
(cont’d)
Trang 18Harmonic Spectrum
Trang 19Harmonic-Related Problems
• Motors and Generators
– Increased heating due to iron and copper losses – Reduced efficiency and torque
– Higher audible noise
– Cogging or crawling
Trang 20Harmonic-Related Problems
(cont’d)
• Transformers
– Parasitic heating
– Increased copper, stray flux and iron losses
• Capacitors (var compensators)
– Possibility of system resonance
– Increased heating and voltage stress
Trang 21Harmonic-Related Problems
(cont’d)
• Power Cables
– Involved in system resonance
– Voltage stress and corona leading to dielectric
failure – Heating and derating
• Neutrals of four-wire systems (480/277V; 120/208V)
– Overheating
Trang 22Harmonic-Related Problems
(cont’d)
• Switchgears
– Increased heating and losses
– Reduced steady-state current carrying capability – Shortened insulation components life
• Relays
– Possibility of misoperation
• Metering
Trang 25Parallel Resonance
Trang 26Capacitor Banks
Trang 27Capacitor Banks
Trang 28Capacitor Banks
Say, Seventh Harmonic Current = 5% of 1100A = 55 A
Trang 29Capacitor Banks
Trang 30Parallel Resonance (cont’d)
Cause:
Impacts: 1 Excessive capacitor fuse
operation
2 Capacitor failures
3 Incorrect relay tripping
Source inductance resonates with capacitor bank at a frequency
excited by the facilities harmonic
sources
Trang 31Harmonic Distortion
Measurements
• Total Harmonic Distortion (THD)
– Also known as Harmonic Distortion Factor
(HDF), is the most popular index to measure the level of harmonic distortion to voltage and
current – Ratio of the RMS of all harmonics to the
fundamental component – For an ideal system THD = 0%
Trang 32Harmonic Distortion
Measurements (cont’d)
1 2
2
F
F THD
Trang 33Harmonic Distortion
Measurements (cont’d)
• Individual Harmonic Distortion (IHD)
- Ratio of a given harmonic to fundamental
- To track magnitude of individual harmonic
1
F
F
• Root Mean Square (RMS) - Total
- Root Mean Square of fundamental plus all harmonics
- Equal to fundamental RMS if Harmonics are
Trang 34Reducing System
Harmonics
• Add Passive Filters
– Shunt or Single Tuned Filters – Broadband Filters or Band Pass Filters – Provide low impedance path for harmonic
current – Least expensive
Trang 35Reducing System
Harmonics (cont’d)
• Increase Pulse Numbers
– Increasing pulse number of convert circuits
– Limited by practical control problems
Trang 36Reducing System
Harmonics (cont’d)
• Apply Transformer Phase Shifting
– Using Phase Shifting Transformers
– Achieve higher pulse operation of the total
converter installation
• In ETAP
– Phase shift is specified in the tab page of the
transformer editor
Trang 37Reducing System
Harmonics (cont’d)
• Either standard phase shift or special phase shift can be used
Trang 38Reducing System
Harmonics (cont’d)
• Add Active Filters
– Instantly adapts to changing source and load
conditions – Costly
– MVA Limitation
Trang 39Voltage Distortion Limits
Recommended Practices for Utilities (IEEE
At PCC
Individual Distortion (%)
Total Voltage Distortion THD (%)
In ETAP:
Specify Harmonic Distortion Limits in Harmonic
Page of Bus Editor:
Trang 40Current Distortion Limits
Recommended Practices for General
Distribution Systems (IEEE 519):