Fundamentals of Electrical Drives by Andre Veltman Duco W.J. Pulle & Rik W. De Doncker

Author:Andre Veltman, Duco W.J. Pulle & Rik W. De Doncker
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

6.4 Tutorials

6.4.1 Tutorial 1: Three-Phase Transformer with Load

This tutorial is concerned with implementing the generic model given in Fig. 6.7. The load which is connected to the secondary winding is formed by an inductance L L = 1 mH and resistance . As input to the model, a flux-linkage space vector is assumed of the form , where Wb and ω = 2π 50 rad/s. The ITF winding ratio is taken to be . Furthermore, the magnetizing inductance is set to L m = 1. 5 H. Leakage inductance and winding resistances are ignored.

Make use of a PLECS Polar->rect module to generate the flux vector input, with components ψ 1α and for the transformer. Use a Constant module to generate the ω (electrical frequency in rad/s) value and add an integrator which will give as output the variable ω t. Check your work by using an “XY” scope module. Under “simulation parameters,” set the simulation time to 1 s and observe the result, which should be a circle with a radius equal to 1.0. Maintain the solver settings and run time as given above for the rest of the tutorial.

Create a sub module which will generate the voltage space vector as shown in Fig. 6.8. You will need to use a multiplier and gain module with gain j. The latter is realized in PLECS by using a Gain module. Select “Matrix gain K*u” within this module and set the gain to [0 -1;1 0]. Next, add an ITF_flux module, magnetizing inductance L m, and a series of modules which will allow you to calculate the secondary voltage vector , where is the output vector from the ITF module. Use four vector to RMS converters with display units to show the RMS primary/secondary voltage and RMS primary/secondary current values. Furthermore, add two additional sub-modules (as discussed in tutorial 5.5.4) which calculate the primary real and reactive power values P(W) and Q(Var), respectively.

The last step is concerned with testing our transformer under load and no-load conditions. Add a manual switch which enables you to connect/disconnect the load. An example of a PLECS model which corresponds to the generic model in question is given in Fig. 6.14. Clear observable are two sub-modules jwX which are used to generate the voltage vectors and based on the generic model shown in Fig. 6.8. Also present in Fig. 6.14 is a Polar->rect module which generates the primary flux vector . Run the simulation and record the six display values. Repeat the exercise for the no-load case.

Fig. 6.14PLECS model of transformer with load

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