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Armnicas en Sistemas ElctricosEstandar IEEE-519
Jess Baez Septiembre 2000
Referencia: Guide for Applying Harmonic Limits on Power Systems
http://www.electrotek.com
P519A/D5May 4, 1996
Distorsin de voltaje y distorsin de corriente
Carga NoLineal
+
Vs(t)
-
i (t)+
VL(t)
-
Voltaje de la Fuente Voltaje de la Carga(distorsionado)
Corriente de la carga
ProveedorTHDv mx
UsuarioTHDI mx
Distorsin de Voltaje
Distorsiones < 5% son recomendables Distorsiones de voltaje por arriba del 5% provocan efectos negativos en motores, transformadores, relevadores, medidores, etc.
Distorsiones arriba del 10% son INACEPTABLES
El Estandar IEEE-519 recomienda que las compaas suministradorasmantengan los niveles de distorsin de voltaje de acuerdo a la tablade la siguiente pgina y que losclientes mantengan la inyeccin de corriente debajo de valoresque dependen de la rigidez del sistema. Los lmites establecidos para la corriente son fijados de tal manera que si todos los usuarios los respetan, la compaa suministradora puede mantenerla distorsin por debajo de los lmites marcados por el estndar
IEEE-519
3.1 Basic Responsibilities
Harmonics are created by nonlinear loads and devices on the power system. There are a wide variety ofdevices that generate harmonics and they can be connected to the power system at any voltage level. Theone line diagram in Figure 3.1 provides a conceptual system illustrating the interconnection of differentharmonic-producing devices on the power system. The procedures outlined in IEEE 519-1992 aredesigned to limit harmonic currents from individual customers and equipment so that harmonic voltagelevels on the overall power system will be acceptable. The approach involves a divided responsibilitybetween the customer and the utility.
1. The customer. For individual customers, the revised standard limits the level of harmoniccurrent injection at the point of common coupling between the customer and the utility.Recommended limits are provided for individual harmonic components and for the Total DemandDistortion (TDD). These limits are expressed as a percentage of the customer's demand currentlevel, rather than as a percentage of the fundamental, in order to provide a common basis forevaluation over time.
2. The utility. The utility system is the transmission and/or distribution system that serves multiplecustomers. The utility is responsible for the voltage distortion at the point of common coupling.For most systems (below 69 kV), the Total Harmonic Distortion (THD) should be less than 5%.This means that the utility must make sure that system resonance conditions do not result inunacceptable voltage distortion levels, even if all customers are within the recommendedguidelines for harmonic current generation.
Bus Voltage at PCC (Vn)Individual Harmonic
Voltage Distortion (%)Total Voltage
Distortion - THDVn (%)
V kVn 69 3.0 5.0
69 161kV V kVn< 1.5 2.5
V kVn > 161 1.0 1.5
THD
V
VV
hh
nn
= =
22 100%
where:
Vh = magnitude of individual harmonic components (rms volts)h = harmonic orderVn = nominal system rms voltage (rms volts)
Lmites en distorsin de voltaje
T a b l e 3 . 3 . 2H a r m o n i c c u r r e n t d i s t o r t i o n l i m i t s ( Ih ) i n
% o f I L
V kVn 69
I Isc L/ h < 11 11 17
=
LIhI100(%)
hTDD
=
=
=L
maxhh
2hI
2I100(%)TDD
h
[ ]LL
CC
kVMVA
kAIcc3
)( =
Niveles de distorsin permitidos por el estndar IEEE-519
Distorsin en Corriente (Responsabilidad del usuario)
IL representa el valor de corriente correspondiente al valor promediode la demanda mxima que se ha presentado en los ltimos doce meses
Estndar IEEE-519 (Eleccin del punto de acoplamiento comn)
Utility System
Customer Under Study
Other UtilityCustomers
PCC
IL
Utility System
Customer Under Study
Other UtilityCustomers
PCC
IL
THD B ins (%)
Frequency
0
5
10
15
20
25
30
35
40
45
50
0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
0.00%
10 .00%
20 .00%
30 .00%
40 .00%
50 .00%
60 .00%
70 .00%
80 .00%
90 .00%
100.00%Site 1092 THD HistogramJune 19 - June 26 , 1992
Count = 305Min imum = 0 .739Max imum = 1 .949
Range = 1.211Mean = 1.406
Median = 1.489Standard Deviation = 0.318
Standard Error = 0.0182Variance = 0.101
Skewness = -0 .521Kurtosis = -0.777
IEEE 519-1992 states that the steady state harmonic limits can be exceeded by 50% for short periods oftime (up to one hour per day). One hour per day is approximately 4% of the time. Therefore, this limitationis consistent with using the design limits as the 95% probability of not being exceeded. The higher limit (1.5x the design limits) can be compared with the measured harmonic level that is not exceeded 99% of thetime (the 99% probability point).
Tolerancias en niveles de distorsin
Case A
0.0%
2.0%
4.0%
6.0%
8.0%
10.0%
0 20 40 60 80 100
Time (minutes)
Tota
l D
em
and D
isto
rtio
n
(%)
Tmaximum = 50 minutes
Ttotal = 50 minutes
Case B
0.0%
2.0%
4.0%
6.0%
8.0%
10.0%
0 20 40 60 80 100
Time (minutes)
Tota
l D
em
and D
isto
rtio
n
(%)
Tmaximum=10 minutes
Ttotal = 50 minutes
4.2.2 Magnitude/Duration Limits for Short Duration HarmonicLevels
The probability distributions do not distinguish between many short bursts of harmonics and one longerburst of harmonics that may exceed a specified threshold. Figure 4.2.2 provides an exaggeratedcomparison of two time trends of harmonic levels illustrating the difference. Both of the cases have thesame total duration where the harmonics exceed a threshold (e.g. 8%) but they may have significantlydifferent impacts on motor or transformer heating.
Tolerancias en niveles de distorsin
There a re tw o indices that can be ca lcu la ted to character ize the t ime va ry ing nature of the ha rmon ics andtake into account both of these cases:
1. The tota l durat ion of harmonic bursts (Ttotal) is the summ a tion of all the t im e in terva ls in w h ich themeasured leve l exceeds a par t icu la r leve l dur ing a spec ified measurement pe r iod.
2. The max imum dura t ion of a single burst (Tm a x i m u m) is the longest t im e in terva l in w hich themeasured d istort ion leve l cont inuously exceeded a par t icu la r leve l dur ing the spec ifiedmeasurement pe r iod.
Both Ttotal and Tm a x i m u m a r e functions of the threshold se lec ted . Spec ific lim its can be deve loped for rangesof these indices and then the lim its can be p lot ted on a magnitude durat ion plot (see example in Sec t ion 5)for compar ison w ith the m e a surement resu lts. Tab le 4 .2.1 provides example magn itude/durat ion lim its thatcan be used to inc lude the t ime va ry ing nature of ha rmon ics in the eva luat ion [6]. They use the steady statelim its from I E E E 519-1992 as a basis (r e fer red to as des ign lim its in the table ). N ote that harmonic burstsw ith durat ions less than 5 seconds are ignored. W hile these short durat ion bursts of harmonics cou ld bevery important , it is difficu lt to apply steady state lim its to control them. W hile r e fe r e n c e [6] uses 5 secondsas the defining per iod for these short bursts, it may be des irab le to use 3 seconds s ince that is the samplingper iod used in IEC 1000-4-7.
T a b l e 4 . 2 . 1 .S h o r t d u r a t i o n h a r m o n i c d i s t o r t i o n l i m i t s
b a s e d o n a 2 4 h o u r m e a s u r e m e n t p e r i o d .
A c c e ptable harmonic d istort ionle v e l (indiv idual or TD D )
M a x imum durat ion o f a s ing leharmonic burst
(Tm a x i m u m)
Tota l duration of all harmon icbursts(T to ta l)
3.0 x (design lim its) 1 sec < Tm a x i m u m < 5 sec 15 sec < Ttotal < 60 sec
2.0 x (design lim its) 5 sec < Tmaxim u m < 10 min 60 sec < Ttotal < 40 min
1.5 x (design lim its) 10 min < Tm a x i m u m < 30 min 40 min < Ttotal < 120 min
1.0 x (design lim its) 30 min < Tm a x i m u m 120 min < Ttotal
Tolerancias en niveles de distorsin
Choose PCC
Calculate Short CircuitCapacity (ISC)
Stage 1:Is Detailed Evaluation
Necessary?
Estimate Weighted DisturbingPower (SDW) or % Nonlinear
Load
Is Power FactorCorrection Existing or
Planned?
No
Calculate Short Circuit Ratio(SCR=ISC/IL)
Yes
Characterize Harmonic Levels(Measurements, Analysis)
Stage 2:Does facility
meet harmoniclimits?
Calculate Average MaximumDemand Load Current (IL)
Yes
No
Design Power FactorCorrection and/or HarmonicControl Equipment (includeresonance and interaction
concerns)
Verification Measurementsand Calculations
(if necessary)
Yes
No
UTILITY CUSTOMER
Procedimiento para la evaluacin de lmites de armnicas