2-Winding 3-Phase Saturable Autotransformer with Internal Tertiary

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2-Winding 3-Phase Saturable Autotransformer with Internal Tertiary

Description

This model implements an autotransformer with one tapping point. It can be used in many applications including the starting of induction motors, voltage regulation of transmission lines, and to transform voltages when the primary to secondary ratio is close to unity.



Table of Contents

Mask and Parameters

General Parameters

Tertiary connection

Select whether the delta-connected winding voltage will lead or lag the star-connected winding voltage or ground C-phase

Flux-Current characteristic model

Model saturation only or saturation with hysteresis

Iteration in saturation model

Enable or disable iteration to achieve more accurate results at the expense of computation time when the saturation segment changes

Base serial/common/tertiary winding voltage (rmsLL)

Base value for PU conversion (kV)

Rm

Equivalent resistance of iron losses of the magnetic circuit (Ω)

Base primary/secondary winding voltage (rmsLL)

Base value for PU conversion (kV)

  • Voltage expressed in kV rms LL

  • This base voltage and nominal voltage will change, if the corresponding winding connection switches between delta and Y.

Base power (total)

Base value for PU conversion (MVA)

Base frequency

Base value for PU conversion (Hz)

Parameter calculation method

  • Equal R1 R2: Resistance of the series winding is set equal to the common winding

  • Classic: R1, R2, and R3 are calculated using between winding resistances R12, R13 and R23 

R12

Primary to secondary resistance (pu)

R13

Primary to tertiary resistance (pu)

R23

Secondary to tertiary resistance (pu)

L12

Primary to secondary inductance (pu)

L13

Primary to tertiary inductance(pu)

L23

Secondary to tertiary inductance (pu)

Neutral Impedance Parameters

R1, R2, R3, R4

Neutral resistance of the winding; only applies to Y ground (Ω)

L1, L2, L3, L4

Neutral inductance of the winding; only applies to Y ground (H)

C1, C2, C3, C4

Neutral capacitance of the winding; only applies to Y ground (F)

Saturation Parameters

Number of data points

Number of segments of the current-flux saturation curve; only the positive part of the curve must be specified, the negative part being completed by symmetry

Saturation current

Current for each segment of the saturation curve; the origin (0,0) is implied (A)

Saturation flux

Flux for each segment of the saturation curve; the origin (0.0,0.0) is implied (V.s)

Hysteresis Parameters

Saturation data type

Determines if the saturation curve is calculated by the model or defined by a series of segments (Equation, Curve)

Air core inductance

Value of the saturation inductance that the curve approaches asymptotically (H)

Slope at Ic:

Flux slope at coercive current (H)

Coercive current - Ic

Positive coercive current at null flux (A)

Saturation current - Is

Current value of the first point in the saturation zone (A)

Current tolerance

Special parameter limiting the generation of minor nested loops. When the magnetizing current values at the last inversion point and the preceding inversion point are closer than the specified tolerance (in % of Ic), it is assumed that there is a displacement on a trajectory represented by a straight line segment.

Remanent flux - Φr

Positive remanent flux at null current (V.s)

Saturation flux - Φs

Flux value of the first point in the saturation zone (V.s)

Flux tolerance

Special parameter limiting the generation of minor nested loops. When the flux values at the last inversion point and the preceding inversion point are closer than the specified tolerance (in % of Φs), it is assumed that there is a displacement on the current loop.

Initial flux (peak)

Initial flux determining initial trajectory which is calculated by supposing that it has an inversion point on the main cycle (V.s)

Number of data points

Number of segments of the current-flux saturation curve; only the positive part of the curve must be specified, the negative part being completed by symmetry

Saturation current

Current for each segment of the saturation curve; the first value must be equal to Is (A)

Saturation flux

Flux for each segment of the saturation curve; the first value must be equal to Φs (V.s)



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