This paper describes a new algorithm for transformer protection relays to discriminate between internal faults and inrush currents by estimating the magnetizing curve of a transformer core regardless of the ratio of the second harmonic components.
Every transformer core has its own magnetizing characteristic, called the
B-H curve. Even immediately after energizing or an external fault, this curve remains unchanged. The newly developed algorithm incorpo- rates a model
B-H curve as a reference, and trackes the locus of (
H, B) calculated from the instantaneous values of voltage and current at each terminal of the transformer. Because of the difficulty of obtaining the initial flux density, this algorithm determines the relative values of flux density instead of the absolute values.
The magnetic flux density (
B) and magnetic field intensity (
H) are calculated as
B=
Br+
Bd=
Br+
K1 ∫
Vdt,
H=
K2Id=
K2∑
Ii where
Br is the initial flux density,
Bd is the flux density caused by magnetizing voltage
V,
Id is the magnetizing current,
Ii, the is instantaneous current of each terminal of the transformer, and
K1 and
K2 are constants. When the sum of the currents reaches a threshold
Ir, this algorithm assumes
Br=0 and starts integration of the voltage to track the locus of (
H,
Bd). The locus follows the reference curve if there is no internal fault.
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