Apparent Impedance Swing Circle


This page plots the apparent impedance seen at the machine terminals as the internal machine angle δ changes with respect to the system equivalent.

One-line diagram

Source Magnitudes

|E|, internal machine voltage (pu).
|V|, system voltage reference (pu).

Impedance Base

Zbase — R-X plot scaling. Impedances entered in pu; plot axes in pu × Zbase.

Generator Impedance ZG

RG:    XG:

GSU Impedance ZT

RT:    XT:

System Equivalent ZS

RS:    XS:

Initial Angle

Initial angle of E in degrees.

Direction of δ Deviation


Include Zapp at GSU high-side

Scale (top figure only)

COMTRADE Export (terminal 3ϕ V/I)

Swing Rate (deg/sec):
# of Swings:
Voltage Format:
Nominal Frequency:

Initial Conditions (pu)

VT (terminal voltage) =
I (current into system) =
Zapp (app Z) =
S = VT x I* =
Apparent impedance swing circle

Impedance Summary (@ machine terminal)