Hysteresis Designer

View and edit hysteresis characteristic for saturable core of Saturable Transformer blocks

Since R2021b

Description

The Hysteresis Designer app allows you to view and edit a hysteresis characteristic for the saturable core of the Multi-Winding Transformer, Saturable Transformer, Three-Phase Transformer (Two Windings), and Three-Phase Transformer (Three Windings) blocks. The hysteresis characteristic includes the saturation region located at the limits of the hysteresis loop.

A default hysteresis characteristic displays when you open the app, but you can build as many hysteresis characteristics as you want and save them in different MAT-files. You can use the same characteristic for all your transformer blocks, or you can use different characteristics for each transformer block in the circuit. In the mask of a transformer block, select Simulate hysteresis and specify a MAT-file to use.

The Hysteresis Designer app includes a flux animation tool that can visualize how by Simscape™ Electrical™ Specialized Power Systems software performs the simulation of the hysteresis. This is an optional tool that is not necessary for the model parameterization. The app calculates the initial trajectory according to the defined hysteresis characteristic. The tool assumes that the last reversal point before starting flux is located on the major loop. The operating point travels until the defined stop flux.

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Open the Hysteresis Designer App

• MATLAB^® command prompt: Enter power_hysteresis

• In the Powergui block, click Hysteresis Designer

Parameters

Hysteresis Parameters

Parameter units — App parameter units

pu (default) | SI

Convert the fluxes and currents that define the hysteresis characteristic from SI to pu or from pu to SI.

Segments — Number of linear segments

512 (default) | 32 | 64 | 128 | 256

Number of linear segments used to define the right side of the hysteresis loop. The left side of the loop is the symmetric image of the right side.

Remnant flux FR — Remnant flux

0.85 (default) | positive scalar

Remnant flux point of the hysteresis characteristic (flux at zero current). The remnant flux point is identified by a + mark in the plot.

Coercive current IC — Coercive current

0.004 (default) | positive scalar

Coercive current point of the hysteresis characteristic.

dF/dI at coercive current — Flux slope at coercive current

1000 (default) | positive scalar

Slope of the flux at the coercive current point (current at zero flux).

Saturation flux Fs — Saturation flux

1.2 (default) | positive scalar

Saturation flux point where the hysteresis loop becomes a single-valued saturation curve. The saturation flux point is identified by a * mark in the plot.

Saturation current Is — Saturation current

0.015 (default) | positive scalar

Saturation current point where the hysteresis loop becomes a single-valued saturation curve. The saturation region is defined by the Saturation region currents parameter.

Nominal parameters [ P(VA), V(Vrms), f(Hz) ] — Transformer nominal parameters

[150e6, 500e3/sqrt(3), 60] (default) | vector of 3

Nominal parameters (nominal power in VA, nominal voltage of winding 1 in volts RMS, and nominal frequency in Hz) used in the conversion of the hysteresis parameters.

Saturation region currents — Saturation current

[0.015 0.03 0.06 0.09 0.12 2.5e+12] (default) | vector

Vector of current values that define the saturation characteristic. The number of specified points must be the same as the Saturation region fluxes parameter. You need to specify only the positive part of the characteristic.

Saturation region fluxes — Saturation current

[1.2 1.35 1.5 1.56 1.572 1e+12] (default) | positive scalar

Vector of flux values that define the saturation characteristic. The number of specified points must be the same as for the Saturation region currents parameter. You need to specify only the positive part of the characteristic.

Tolerances [Tol_F, Tol_I] — Saturation current

0.015 (default) | positive scalar

This parameter is mainly used to minimize the generation of superfluous, very small internal loops or new trajectories because they have little effect and they consume computer memory space. The model can memorize up to 50 embedded minor loops at any time.

The TOL_F parameter is the tolerance value used to detect whether, after a flux reversal, the operating point remains on the same minor loop or a new embedded loop is created. The smaller the value, the lesser the effect on the normal trajectory behavior. The bigger the value, the lesser the generated number of embedded minor loops.

Finally, when the distance between the I coordinate of the actual point of reversal and the penultimate one is less than TOL_I, then evolution within these two points follows a line segment instead of a loop.

Zoom around hysteresis — Saturation current

on (default) | off

Select to zoom the plot around the hysteresis curve.

Flux Animation

Start — Starting flux

0.0 (default) | scalar

Starting flux.

Stop — Ending flux

? (default) | scalar

Flux at which the flux animation stops.

Delta — Flux delta

1,78e-08 (default) | positive scalar

Flux increment, in pu or SI, that is used to go from start flux to stop flux.

Buttons

Update diagram — Update hysteresis diagram

Update the hysteresis diagram after you changed hysteresis parameters.

Animate — Animate flux animation

Start the flux animation tool.

Reset — Reset flux animation

Reset the flux animation tool.

Menu

Load — Load hysteresis parameters

Opens a browser window where you can select your own cable data. Select the desired MAT-file.

Save — Save hysteresis parameters

Saves your cable data by generating a MAT-file that contains the GUI information and the cable data.

Help — App documentation

Open the documentation page of the app.

Version History

Introduced in R2021b