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EMTP-RV
              USER GROUP MEETING




EMTP_RV MODELLING FOR THE TRANSMISSION LINE
   LIGHNTING PERFORMANCE COMPUTATION
               T. Sadovic, S. Sadovic




               Dubrovnik 30.04.2009
LINE LIGHTNING PERFORMANCE

THE ANNUAL NUMBER OF LIGHTNING
OUTAGES PER 100 KM OF LINE LENGTH
                                                  I0, tf



                                                           BACK FLASHOVERS
           I0, tf                 I 0, t f




 INDUCED



                             SHIELDING FAILURES
LINE BACK FLASHOVER RATE


THE ANNUAL OUTAGE RATE CAUSED BY A   I0, tf
    FLASHOVER OF LINE INSULATION
 RESULTING FROM THE STROKES TO THE
  TOWERS AND TO THE GROUND WIRES




                                                 Back
                                              flashover
LINE SHIELDING FAILURES

THE ANNUAL NUMBER OF LIGHTNING EVENTS      THE ANNUAL NUMBER OF
THAT BYPASS THE OVERHEAD GROUND WIRES      FLASHOVERS CAUSED BY
AND TERMINATE ON THE PHASE CONDUCTORS        SHIELDING FAILURES


                            I0, tf




                                             Shielding failure
                                                flashover


                       Shielding failure
HOW TO IMPROVE LINE LIGHTNING PERFORMANCE?




                                Additional Shield Wires


                                             Underbuilt Ground Wire
   Increasing Insulation




                                  Line Surge Arrester

      Guy Wires




                           Foot_resistance
                            improvement
LINE SURGE ARRESTER APPLICATION
      123 kV Line Dubrovnik - Ston




                      2 LSA
                     per tower




          1 LSA
         per tower
ELECTROMAGNETIC TRANSIENTS SIMULATION
        MODEL OF THE LINE INSULATION FLASHOVER


            (s2)
                                                                             Flashover models:
U(t)                   (s1)
                              (U - t) Insulation characteristic              Constant voltage
 U2                                                                          Equal area
 U1
                                                                             Leader propagation

 U0

                                                                  Leader propagation model:


       t2     t1                                   t                                                        u (t )
                                                                             u (t )              0 , 0015
                                                                                                              d
                                                                  vl   170 d              E0 e
                                                                             d ll

       d           l                                               vl - Leader speed (m/s)
                                  u(t)

                                                                   d - Arcing distance (m)
                                                                   ll - Leader length (m)
                                                                   u(t) - Applied voltage (kV)
                                                                       E0 = 520 (kV/m)
EQUAL AREA FLASHOVER MODEL                                                                 d                      Ugap(t)



    U(t)
                          t                                                            710
                               ( U gap (t ) U 0 )   k
                                                        D            U        (400             ) d      (kV) [IEEE]
     U2    s              t0
                                                                                       t 0, 75
                          k 1
     U50%      D                                                                                     710
     U0                                                              U8   s    U 50%      (400              ) d   550 d
                                                                                                     80, 75

                   2                        8               t ( s)   U0       0,9 U 50%          495 d

EMTP_RV Model data:
                                                                                          710
                                                                     U2   s     (400              ) d    822 d
[d - arcing distance in meters]                                                           2 0, 75

     U0        495 d
                                                                     D        0,2045 d
     k 1
     D 0,2045 d
ELECTROMAGNETIC TRANSIENTS SIMULATION
SOIL IONIZATION TOWER FOOTING RESISTANCE MODEL
    I



                                       Rlc
                             Ri                   U (kA)            Linear Resistance
                                             I
                                   1
                                             Ig
                                                                Non-Linear Resistance
                                       Eg
                              Ig        2                                     I (kA)
                                    2 Rlc
                                                           Ig

Rlc – low current tower footing resistance ( )
Ri – tower footing impulse resistance ( )
I – impulse current (kA)
Ig – soil ionisation limit current (kA)
Eg – soil ionisation critical electric field (kV/m) – [Eg = 400 (kV/m)]
QUICK BACK FLASHOVER RATE COMPUTATIONS

Stroke current is changed until
flashover [IC obtained]
                                     W - Line shadow width
                                     A - Line attraction area
                   IC
                                     hav - Tower average height
                                     IC - Back flashover critical current
                                                100 km




                                       A = 100 x W (km2)                    W


                           Back
hav                      Flashover
                                           Ra    14 hav, 6
                                                     0


                                           W     2 Ra        b
                                           A 100 W
                                           N L NG A
              W
QUICK BACK FLASHOVER RATE COMPUTATIONS

                                                          100 km
             IC



                                                 A = 100 x W (km2)                   W



                                             1               Ra      14 hav, 6
                                                                         0
                                   PI C
                                             I
                    Back                  1 ( C ) 2,6        W       2 Ra        b
hav               Flashover                  31
                                                             A 100 W
                                  BFR      0,6 N L PI C
                                                             N L NG A
                              W - Line shadow width
                              b - Ground wire separation distance
         W
                              NL - Number of strokes collected [str/100km/year]
                              NG – Ground flash density [str/km2/year]
                              BFR - Back flashover rate
                              0,6 > Takes into account strokes hitting shield wire
IEEE DISTRIBUTION



                             1                     i0 (t)        S (kA/ s)
CURRENT PEAK
                    PI
                              I
                          1 ( ) 2,6              I0
                             31
                                                 I0/2
                             1                                                t ( s)
STEEPNESS           PS
                              S 4                           tf           tt
                          1 ( )
                             24

Equal Probability        PS    PI



                               I0
                         S
                               tf
                                        Equivalent Front Time
123 kV TRANSMISSION LINE DUBROVNIK STON


    No       DC Resistance   Outside diameter    x [m]         y [m]           y [m]
              [Ohm/km]             [cm]                                     at midspan
        1       0.1444            1.708           2.5           22.7           14.1
        2       0.1444            1.708           -3            20.5           11.9
        3       0.1444            1.708           3.5           18.3            9.7
        4       0.4555              0.9            0            28.9           21.3
    4

                                                                       L1 = 2,8 H

                                                                       L2 = 1,37 H
                         Un=       123 kV
                         Length = 46 km                                L3 = 1,37 H
             1           Span = 200 m
                         L = ZT/v
2                        v - velocity of light           hT = 28,9 m                          Propagation
             3                                                                                  element
                                                                                         lprop = 20 m

                                                                                         ZT = 184
LINE SURGE ARRESTER



    Rated voltage: 123 kV
    IEC Class II
    Polymer housed


Current (A)         Voltage (V)
   1000              239000
   2500              252000
   5000              275000
  10000              291000
  20000              324000
  40000              357000
123 kV TRANSMISSION LINE DUBROVNIK STON


                Ground flash density: 5 strokes/km2/year
                Length = 46 km


    Ra   14 hav, 6
             0
                         14 28,90, 6      105 (m)
    W    2 Ra        b    2 105 0         210 (m)
    A 100 W 100 0,210 21                         (km2)
    N L N G A 5 21 105                           (strokes/100km/year)
                Using EMTP_RV find IC (Critical current)

                                          1
                              PI C
                                          I
                                       1 ( C ) 2,6
                                          31
                              BFR       0,6 105 PI C
AUTOMATIC BACKFLASHOVER COMPUTATIONS


EMTP_RV Line section model created
Netlist file obtained
AUTOMATIC BACKFLASHOVER SIMULATIONS

                           Tower Model> Sub circuits




Air gap model
Signal = 0: No flashover
Signal =1: Flashover
AUTOMATIC BACKFLASHOVER SIMULATIONS

     Tool developed to run EMTP_RV in a loop




 Initial stroke current   Current step
AUTOMATIC BACKFLASHOVER SIMULATIONS

  EMTP_RV is running in the loop until gap signal > 0




                                Stroke Sub circuit


Flashover Tower 2
Phase conductor C
AUTOMATIC BACKFLASHOVER SIMULATIONS

EMTP_RV is running in the loop until gap signal > 0

                     Critical current




                      Back flashover rate
FUTURE WORK > 3D EGM

                I0, tf
                                                         WS - SIMULATED WIDTH

                                                          STRIKING DISTANCES
                              DOWNWARD
                               LEADER                          1. TO PHC & GW:

     rT1                                                          rS = A I B
                                  rT2
                                                                [A=10, B=0,65]

                                         span                  2. TO TOWERS:
                                                                   rTT = k rS
                         rE
                                                                  [k= 1 – 1,1]

                                                                3. TO EARTH:
x0                                         WS


           y0                                   IEEE :    rE     3,6 1,7 ln(43 yv ) I0,65
FUTURE WORK > 3D EGM


                                          DOWNWARD
         I0, tf
                                      LEADER APPROACHES
                                         UNDER ANGLE

                                                           2
                                                      f        cos2

                              rGW                         rGW = rPHC = rNO = rS

                               rPHC    GW
         rNO

NEARBY                        PHC
OBJECT
     hl
                              dl
                  x0

                       WS/2                   WS/2
FUTURE WORK > sigma slp like interface
EMTP_RV modeling and transients computation
  Monte Carlo Statistical Study and 3D EGM

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Sadovic Lighting Performance Computation

  • 1. EMTP-RV USER GROUP MEETING EMTP_RV MODELLING FOR THE TRANSMISSION LINE LIGHNTING PERFORMANCE COMPUTATION T. Sadovic, S. Sadovic Dubrovnik 30.04.2009
  • 2. LINE LIGHTNING PERFORMANCE THE ANNUAL NUMBER OF LIGHTNING OUTAGES PER 100 KM OF LINE LENGTH I0, tf BACK FLASHOVERS I0, tf I 0, t f INDUCED SHIELDING FAILURES
  • 3. LINE BACK FLASHOVER RATE THE ANNUAL OUTAGE RATE CAUSED BY A I0, tf FLASHOVER OF LINE INSULATION RESULTING FROM THE STROKES TO THE TOWERS AND TO THE GROUND WIRES Back flashover
  • 4. LINE SHIELDING FAILURES THE ANNUAL NUMBER OF LIGHTNING EVENTS THE ANNUAL NUMBER OF THAT BYPASS THE OVERHEAD GROUND WIRES FLASHOVERS CAUSED BY AND TERMINATE ON THE PHASE CONDUCTORS SHIELDING FAILURES I0, tf Shielding failure flashover Shielding failure
  • 5. HOW TO IMPROVE LINE LIGHTNING PERFORMANCE? Additional Shield Wires Underbuilt Ground Wire Increasing Insulation Line Surge Arrester Guy Wires Foot_resistance improvement
  • 6. LINE SURGE ARRESTER APPLICATION 123 kV Line Dubrovnik - Ston 2 LSA per tower 1 LSA per tower
  • 7. ELECTROMAGNETIC TRANSIENTS SIMULATION MODEL OF THE LINE INSULATION FLASHOVER (s2) Flashover models: U(t) (s1) (U - t) Insulation characteristic Constant voltage U2 Equal area U1 Leader propagation U0 Leader propagation model: t2 t1 t u (t ) u (t ) 0 , 0015 d vl 170 d E0 e d ll d l vl - Leader speed (m/s) u(t) d - Arcing distance (m) ll - Leader length (m) u(t) - Applied voltage (kV) E0 = 520 (kV/m)
  • 8. EQUAL AREA FLASHOVER MODEL d Ugap(t) U(t) t 710 ( U gap (t ) U 0 ) k D U (400 ) d (kV) [IEEE] U2 s t0 t 0, 75 k 1 U50% D 710 U0 U8 s U 50% (400 ) d 550 d 80, 75 2 8 t ( s) U0 0,9 U 50% 495 d EMTP_RV Model data: 710 U2 s (400 ) d 822 d [d - arcing distance in meters] 2 0, 75 U0 495 d D 0,2045 d k 1 D 0,2045 d
  • 9. ELECTROMAGNETIC TRANSIENTS SIMULATION SOIL IONIZATION TOWER FOOTING RESISTANCE MODEL I Rlc Ri U (kA) Linear Resistance I 1 Ig Non-Linear Resistance Eg Ig 2 I (kA) 2 Rlc Ig Rlc – low current tower footing resistance ( ) Ri – tower footing impulse resistance ( ) I – impulse current (kA) Ig – soil ionisation limit current (kA) Eg – soil ionisation critical electric field (kV/m) – [Eg = 400 (kV/m)]
  • 10. QUICK BACK FLASHOVER RATE COMPUTATIONS Stroke current is changed until flashover [IC obtained] W - Line shadow width A - Line attraction area IC hav - Tower average height IC - Back flashover critical current 100 km A = 100 x W (km2) W Back hav Flashover Ra 14 hav, 6 0 W 2 Ra b A 100 W N L NG A W
  • 11. QUICK BACK FLASHOVER RATE COMPUTATIONS 100 km IC A = 100 x W (km2) W 1 Ra 14 hav, 6 0 PI C I Back 1 ( C ) 2,6 W 2 Ra b hav Flashover 31 A 100 W BFR 0,6 N L PI C N L NG A W - Line shadow width b - Ground wire separation distance W NL - Number of strokes collected [str/100km/year] NG – Ground flash density [str/km2/year] BFR - Back flashover rate 0,6 > Takes into account strokes hitting shield wire
  • 12. IEEE DISTRIBUTION 1 i0 (t) S (kA/ s) CURRENT PEAK PI I 1 ( ) 2,6 I0 31 I0/2 1 t ( s) STEEPNESS PS S 4 tf tt 1 ( ) 24 Equal Probability PS PI I0 S tf Equivalent Front Time
  • 13. 123 kV TRANSMISSION LINE DUBROVNIK STON No DC Resistance Outside diameter x [m] y [m] y [m] [Ohm/km] [cm] at midspan 1 0.1444 1.708 2.5 22.7 14.1 2 0.1444 1.708 -3 20.5 11.9 3 0.1444 1.708 3.5 18.3 9.7 4 0.4555 0.9 0 28.9 21.3 4 L1 = 2,8 H L2 = 1,37 H Un= 123 kV Length = 46 km L3 = 1,37 H 1 Span = 200 m L = ZT/v 2 v - velocity of light hT = 28,9 m Propagation 3 element lprop = 20 m ZT = 184
  • 14. LINE SURGE ARRESTER Rated voltage: 123 kV IEC Class II Polymer housed Current (A) Voltage (V) 1000 239000 2500 252000 5000 275000 10000 291000 20000 324000 40000 357000
  • 15. 123 kV TRANSMISSION LINE DUBROVNIK STON Ground flash density: 5 strokes/km2/year Length = 46 km Ra 14 hav, 6 0 14 28,90, 6 105 (m) W 2 Ra b 2 105 0 210 (m) A 100 W 100 0,210 21 (km2) N L N G A 5 21 105 (strokes/100km/year) Using EMTP_RV find IC (Critical current) 1 PI C I 1 ( C ) 2,6 31 BFR 0,6 105 PI C
  • 16. AUTOMATIC BACKFLASHOVER COMPUTATIONS EMTP_RV Line section model created Netlist file obtained
  • 17. AUTOMATIC BACKFLASHOVER SIMULATIONS Tower Model> Sub circuits Air gap model Signal = 0: No flashover Signal =1: Flashover
  • 18. AUTOMATIC BACKFLASHOVER SIMULATIONS Tool developed to run EMTP_RV in a loop Initial stroke current Current step
  • 19. AUTOMATIC BACKFLASHOVER SIMULATIONS EMTP_RV is running in the loop until gap signal > 0 Stroke Sub circuit Flashover Tower 2 Phase conductor C
  • 20. AUTOMATIC BACKFLASHOVER SIMULATIONS EMTP_RV is running in the loop until gap signal > 0 Critical current Back flashover rate
  • 21. FUTURE WORK > 3D EGM I0, tf WS - SIMULATED WIDTH STRIKING DISTANCES DOWNWARD LEADER 1. TO PHC & GW: rT1 rS = A I B rT2 [A=10, B=0,65] span 2. TO TOWERS: rTT = k rS rE [k= 1 – 1,1] 3. TO EARTH: x0 WS y0 IEEE : rE 3,6 1,7 ln(43 yv ) I0,65
  • 22. FUTURE WORK > 3D EGM DOWNWARD I0, tf LEADER APPROACHES UNDER ANGLE 2 f cos2 rGW rGW = rPHC = rNO = rS rPHC GW rNO NEARBY PHC OBJECT hl dl x0 WS/2 WS/2
  • 23. FUTURE WORK > sigma slp like interface EMTP_RV modeling and transients computation Monte Carlo Statistical Study and 3D EGM