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发表于 2008-1-19 12:33:35
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论文摘要
4.2 ADDITIONAL POWER SWING DETECTION METHODS+ b$ n9 e$ y) K, p# l+ ^; K6 j
4.2.1 Continuous Impedance Calculation
3 K: h3 a& o0 T3 I) `6 {$ R& y4 vThis method determines a power swing condition based on a continuous impedance calculation.# g3 B/ H6 L# }" |, j6 ^3 N" _
Continuous here means, for example, that for each 5 ms step an impedance calculation is& k2 n$ `0 @' Y0 t3 ?. W* ^
performed and compared with the impedance calculation of the previous 5 ms. As soon as there is
6 W1 V0 ^* C0 y0 ]( }0 `9 Ua deviation, an out-of-step situation is assumed but not proven yet. The next impedance that
+ k8 E! _0 p- p% x$ r: e( @9 kshould be calculated 5 ms later is predicted based on the impedance difference of the previous
& q- W; R3 k" U: wmeasured impedances. If the prediction is correct, then it is proven that this is traveling impedance.
- M) J0 I, J) M' n' TIn this situation a power swing condition is detected. For security reasons additional predictive3 l" w- }/ Y4 y" D: ~3 q- a% q
calculations may be required.
& J g' c" e! v4 L) g2 FA delta impedance setting is not required anymore, because the algorithm automatically considers
6 E/ w7 V [: {0 ~8 aany delta impedance that is measured between two consecutive calculations and sets the delta9 P5 c3 j7 z' c) m& [# Y/ m
impedance for the next calculation automatically in relation to the previous calculation. This leads3 X% M8 a( k# j$ K' @* Y5 w
to a dynamic calculation of the delta impedance and an automatic adaptation to the change of the" q( ~& Z. r0 D9 H+ H
power swing impedance. Also the delta time setting is not required anymore because it is* k9 @! y; q+ O; T
determined by the calculation cycles of the algorithm.( l k7 i+ E/ S# b
R4 @8 z$ x, X+ a; @: A
X( o; m+ m9 b! P: X- r2 K
Stable power swing9 F$ t4 i. o6 \+ E' C' ]1 i
impedance trajectory
3 M2 w: t* v, r. BDZ1 DZ2 DZ32 V" p. M6 d+ }# N$ _0 c& | H
Load' Y9 s, Y$ `3 w# J
Figure 7 Power swing detection with continuous impedance calculation2 i1 E! X' N* U, Q- R
As long as the changing impedance vector is not approaching a tripping zone faster than the relay3 E* S* A! x$ D
can confirm the out-of-step condition (at least 3 calculations 10 ms) the detection will be successful.
3 P9 N% b5 L+ D! p/ q$ n oPOWER SWING AND OUT-OF-STEP CONSIDERATIONS ON TRANSMISSION LINES
6 |; I* b/ \% x& RIEEE PSRC WG D6" d# B) o9 s% l& p, n) ~# `' J6 }
17 / 59 2005-07-19* x. o* q2 {! Q) P' c
4.2.2 Swing-Center Voltage and its Rate of Change
% f( a* L3 x2 ` ~# H. y% c% nSwing-center voltage (SCV) is defined as the voltage at the location of a two-source equivalent
* K! z7 R/ K1 F: ]' bsystem where the voltage value is zero when the angles between the two sources are 180 degrees
+ J5 g* z% ?: Capart. When a two-source system loses stability and goes into an OOS situation after some1 `+ O# T( ?% R. z8 D1 y
disturbance, the angle difference of the two sources, d(t), will increase as a function of time. Figure
* V% A( v9 h: O5 d U2 c* @, s8 illustrates the voltage phasor diagram of a general two-source system, with the SCV shown as. h: B+ d3 m9 [4 g4 B _3 o" |# v
the phasor from origin o to the point o'.
% z R% ?+ j7 g9 j5 j: `o'
0 x+ B' c: J# m: `- ~o+ V! ^& p8 N7 `
o"$ a& h9 M! _4 [* F
Z1S•I Z1L•I
U6 n! o7 ^5 |: @& j8 [; p4 CVS* C( N: ~$ x( S" P0 O' Z) S2 g3 z
j ER5 Y' J8 L B+ i! Z; q! r
d
6 u0 E. Q s0 V% V8 m6 aSCV
% o; M0 p) k4 v1 i9 F. fZ1R•I: a" _( S% K4 M% Z
q9 H7 n- o; Z& N! |
I
' {9 [ p( o8 g+ S8 C1 v: z- bES
0 _' k* B/ T" q1 F# o8 l8 BVR
6 { A6 u' T% N* |0 k- mFigure 8 Voltage Phasor Diagram of a Two-Source System5 f' O9 j0 ]. f% n- v+ }; {
An approximation of the SCV can be obtained through the use of locally available quantities as9 L z; M. v0 U0 B
follows:1 H+ @% r* N* A2 O
SCV »| V | ×cosj S (6)
5 j9 W9 U: q7 g* |6 ]Where |VS| is the magnitude of locally measured voltage, and j is the angle difference between VS
! U( P8 k3 r$ V$ l$ {3 U% Cand the local current as shown in Figure 9. In Figure 9, we can see that Vcosj is a projection of VS6 Q: d' _$ x w& F1 @
onto the axis of the current, I. For a homogeneous system with the system impedance angle, q,
; {* c4 n3 W7 i/ x. P, Mclose to 90 degrees, Vcosj approximates well the magnitude of the swing-center voltage. For the" C8 H1 V' n% p7 U8 P* I" } o. ~
purpose of power-swing detection, it is the rate of change of the SCV that provides the main1 E/ c8 r% ]! \3 ~0 N' P
information of system swings. Therefore, some differences in magnitude between the system SCV
5 F# s) e, S5 W1 K0 A8 nand its local estimate have little impact in detecting power swings. Ilar [6] first introduced the3 u, a* R j O% u8 G. ]* H. [" U
quantity of Vcosj for power swing detection. |
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