Phasor Estimation; Distance Characteristics - GE D60 Instruction Manual

DISTANCE ELEMENTS
The relay provides for an adaptive distance reach control to cope with the overreaching and sub-synchronous oscillations
when applied to, or in a near vicinity of series compensated lines. The Application on Series Compensated Lines section
has information.
The distance elements use phase angle comparators to shape their characteristics as described in the Distance
Characteristics section. The voltage and current phasors are estimated using optimized techniques as explained in the
next section.

9.1.2 Phasor estimation

The relay samples its input AC signals at 64 samples per power system cycle. A fast and accurate frequency tracking
mechanism ensures accurate filtering and phasor estimation during off-nominal frequency conditions.
The phasor estimation process for both currents and voltages is based on the commonly used Fourier algorithm. Due to a
different nature of signal distortions in the current and voltage signals digital pre-filtering algorithms have been, however,
designed and optimized separately for the current and voltage channels.
The current signals are pre-filtered using an improved digital MIMIC filter. The filter removes effectively the DC
component(s) guaranteeing transient overshoot below 2% regardless of the initial magnitude and time constant of the DC
component(s). The filter has significantly better frequency response for higher frequencies as compared with a classical
MIMIC filter. This was possible without introducing any significant phase delay thanks to the high sampling rate used by
the relay.
The voltage signals are pre-filtered using a special digital filter designed to cope with CVT transients. The patented filter
combines filtering and memory actions enabling the relay to cope with CVT noise under high Source Impedance Ratios
(SIRs). The filter controls underestimation of the fault voltage magnitude to less than 1% of the nominal and prevents
certain phase angle anomalies that can be encountered under heavy CVT noise and high SIRs.

9.1.3 Distance characteristics

9.1.3.1 Definitions
The relay shapes its distance characteristics using phase angle comparators and voltage and current phasors estimated
as described in the previous section.
The following definitions pertain to all of the distance functions:
• I , I , I — Phase A, B, and C current phasors
A B C
• I — Ground current from a parallel line
G
• V , V , V — Phase A to ground, phase B to ground, and phase C to ground voltage phasors
A B C
• ( )_1 — Positive-sequence phasor of ( ) derived from the phase quantities
• ( )_2 — Negative-sequence phasor of ( ) derived from the phase quantities
• ( )_0 — Zero-sequence phasor of ( ) derived from the phase quantities
• ( )M — Memorized value of ( )
• Z — Reach impedance (
• Z — Reverse reach impedance for non-directional applications (
REV
— Directional characteristic impedance (1 ∠
• Z
D
• Z — Right blinder characteristic impedance: Z
R
• Z — Left blinder characteristic impedance: Z
9
L
• K0 — Zero-sequence compensating factor: K0 = (
• K0M — Mutual zero-sequence compensating factor: K0M = 1/3 x
• Θ — Non-homogeneity angle setting (
9.1.3.2 Directional mho characteristic
The dynamic 100% memory polarized mho characteristic is achieved by checking the angle between
9-2
∠
)
REACH RCA
DIR RCA
=
RGT BLD
R
=
LFT BLD
L
Z0/Z1 MAG
NON-HOMOGEN ANG
CHAPTER 9: THEORY OF OPERATION
∠
REV REACH REV REACH RCA
)
× sin ( ) × 1∠ (
RGT BLD RCA RGT BLD RCA
× sin ( ) × 1∠ (
LFT BLD RCA LFT BLD RCA
∠ ) – 1
Z0/Z1 ANG
∠
Z0M/Z1 MAG Z0m/Z1 ANG
)
D60 LINE DISTANCE PROTECTION SYSTEM – INSTRUCTION MANUAL
+ 180°)
– 90°)
+ 90°)