[W-SE-53] Transition to Steady State in a Short Time

1. Background
2. Scope of TP-EEC method
3. TP-EEC method for the application with the anti-periodicity in the induction machine model
4. TP-EEC method for the application with the anti-periodicity in the switching transformer model
5. Time constant and the effect of the method
6. Conclusion
7. References

1. Background

There is a strong demand in the market for reducing calculation time in electromagnetic field analysis. One of the reasons is that, it is necessary to calculate time steps of many cycles because a model with a long time constant takes a long transient state before reaching the steady state. JMAG incorporates a correction function using the Time Periodic Explicit Error Correction (TP-EEC) method which works for such issues.
In the following, it is shown that the steady state analysis results can be obtained with less number of time steps by using the TP-EEC method.

Fig. 1 Effect by TP-EEC method
In the torque analysis of the motor using the voltage source, the induced voltage in the coil delays the torque from reaching steady state (Black line). By using the TP-EEC method, the number of steps needed to reach the steady state was shortened to 1/10 of the original value (Red line).

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