Priemysel Kompenzacia Aples Technologies Katalog-F
Priemysel Kompenzacia Aples Technologies Katalog-F
Priemysel Kompenzacia Aples Technologies Katalog-F
capacitors
16
Harmonics
INTRODUCTION
GENERAL INFORMATION
In recent years, the modernisation of industrial The FOURIER decomposition (harmonic analysis) of the
processes and the sophistication of electrical machines current consumption of a non-linear receiver shows:
and equipment have led to major developments in The fundamental, a sinusoidal term at the 50 Hz
power electronics: mains supply frequency
The harmonics, sinusoidal terms whose frequencies
Semi-conductor-based systems (transistors, thyris- are multiples of the fundamental frequency
tors, etc.) designed for:
Static power converters: AC/DC According to the equation:
Rectifiers
n
Inverters Irms = I21 + h∑= 2 I2h
Frequency converters
And many other multicycle or phase controlled ∑ : Sum of all the harmonic currents from harmonic 2 (50 Hz x 2) to the last
harmonic n (50 Hz x n)
devices.
These systems represent "non-linear" loads for
electrical supplies. A "non-linear" load is a load for These harmonic currents circulate in the source. The
which the current consumption does not reflect the harmonic impedances of the source then give rise to
supply voltage (although the voltage of the source harmonic voltages, according to the equation:
imposed on the load is sinusoidal, the current Uh = Zh x Ih
consumption is not sinusoidal).
Other "non-linear" loads are also present in electrical The harmonic currents give rise to most of the
installations, in particular: harmonic voltages causing the overall harmonic
Variable impedance loads, using electric arcs: arc distortion of the supply voltage.
furnaces, welding units, fluorescent tubes, discharge
n
lamps, etc. Vrms = U21 +h∑= 2 U 2h
Loads using strong magnetising currents: Note: The harmonic distortion of the voltage generated by construction
saturated transformers, inductors, etc. defects in the windings of the alternators and transformers is generally
negligible
17
Harmonics (continued)
Sous-Titre
Schematic 1
diagram Equivalent diagram Main harmonic currents
Texte courant Texte courant Texte courant Texte
courant Texte courant Texte courant Texte courant
XLT : SC C (kVA) The main harmonic currents present in electrical
Texte courant Texte courant Texte courant Texte installations come from semi-conductor based
courant Texte courant Texte courant Texte courant systems. The theoretical rates of such systems are as
Texte courantM Texte courant Texte XLT courant
XC Texte
R follows:
XC ±
courant
Q(kvar) Texte courant Texte courant Texte courant - Harmonic 5 (250 Hz) - I5 - 20% I1*
Texte courant Texte courant Texte courant Texte - Harmonic 7 (350 Hz) - I7 - 14% I1*
courant Texte courant Texte courant Texte courant - Harmonic 11 (550 Hz) - I11 - 9% I1*
R L
Texte courant - Harmonic 13 (650 Hz) - I13 - 8% I1 *
P (kW)
Note: As the inductance of the motor is much higher than that of the source, (* I1: Semi-conductor system current at 50 Hz)
it becomes negligible in parallel configuration.
18
PROTECTING CAPACITORS USING DETUNED REACTORS
GENERAL INFORMATION
For supplies with a high level of harmonic pollution, The most commonly used F.r.s values are:
installing an detuned reactor, tuned in series with the - 50 Hz fundamental: 215 Hz (n=4.3)
capacitor, is the only effective protection. 190 Hz (n=3.8)
135 Hz (n=2.7)
The detuned reactor performs a dual role:
Increasing the impedance of the capacitor in relation - 60 Hz fundamental: 258 Hz (n=4.3)
to the harmonic currents 228 Hz (n=3.8)
Shifting the parallel resonance frequency (Fr.p) of the 162 Hz (n=2.7)
source and the capacitor to below the main frequencies
of the harmonic currents that are causing interference For frequencies below Fr.s., the reactor/capacitor
system behaves like a capacitance and compensates
Fr.p.: Detuned reactor/capacitor/MV/LV transformer the reactive energy.
parallel resonance frequency For frequencies above Fr.s., the reactor/capacitor
system behaves like an inductance which, in parallel
Fr.s.: Detuned reactor/capacitor serial resonance with the inductance XLT, prevents any risk of parallel
frequency resonance at frequencies above Fr.s. and in particular
at the main harmonic frequencies.
HARMONIC FILTERS
For installations subject to a high level of harmonic For this type of installation, LEGRAND offers the
pollution, the user may be faced with a dual following services:
requirement: Analysis of the mains supply on which the equipment
To compensate for the reactive energy and protect is to be installed, with measurement of harmonic
the capacitors voltages and currents
To reduce the harmonic distortion of the voltage to Computer simulation of the compatibility of the harmonic
values that are acceptable and compatible with correct impedances of the supply and the various filters
operation of most sensitive receivers Calculation and definition of the various components
(PLCs, industrial computers, capacitors, etc.) of the filter
Supply of capacitors, inductances, etc.
For this, LEGRAND can offer "passive" harmonic Measurement of the efficiency of the system after
filters. A "passive" harmonic filter is a combination of installation on site
a capacitor and an inductance in series, for which each
tuning frequency corresponds to the frequency of an
unwanted harmonic voltage to be eliminated.
19