Understanding matrix converter (Venturini's solution)

[Methias]

Hi, I'm actually trying to do some simulation on matrix converters for my university power electronics subject. I am reading through the different types of modulation techniques. One of them, the Venturini direct approach, with sinusoidal voltage output and input current.

I'm having a little trouble figuring how did Venturini derived the two basic solution for the duty cycles. The paper I'm reading from is from here, http://eprints.nottingham.ac.uk/14034/1/430229.pdf, under segment 3.2 Mathematical model and modulation techniques. The particular duty cycle solution can be found on page 23 of the paper itself.

Thanks in advance!

 

[Achy47]

Hello,

Thank you for your question. The Venturini direct approach is a modulation technique used in matrix converters to achieve sinusoidal voltage output and input current. This technique was developed by Professor Alberto Venturini in the 1980s.

To understand how Venturini derived the two basic solutions for the duty cycles, it is important to first understand the mathematical model of the matrix converter. The matrix converter consists of a three-phase input and output, with six bi-directional switches connecting the input and output. The switching states of these switches determine the output voltage and input current.

The duty cycles in the Venturini direct approach are derived by solving the equations for the output voltage and input current, and then finding the switching states that satisfy these equations. This is done using a mathematical technique called space vector modulation.

In the paper you mentioned, the two basic solutions for the duty cycles can be found on page 23. These solutions are derived by solving the equations for the output voltage and input current using space vector modulation. The first solution is for a constant output voltage, while the second solution is for a constant input current.

I hope this helps to answer your question. If you have any further questions or need clarification, please feel free to ask.