I have a huge set of complex number equations to solve. It is an equivalent circuit of an electrical circuit. The circuit is basically a DC circuit and the situation we are solving is a steady-state problem. The DC still has an AC ripple component on top of the DC component. Mathematically the problem looks like this: [Z] * [I] = [U]. I have variables in every term of the equations. The unknown may be in different term (Z/I/U) on different rows. On row one I may know the current 'I' and the impedance 'Z'. On row two I may know some different things. For example I and U. etc. You get the idea. How to solve this kind of problem where variables/unknowns are located in different parts of the equations? What are the worksteps in this kind of situation? Should I definitely use Simulink or is it possible to solve this with pure Matlab-coding? And the complex numbers also worry me: How about the complex numbers in general. Are they a problem? If the ripple effect is taken into account I assume that in every part of the circuit the complex numbers are present in all of the terms (Z/I/U). By this I mean that if the current would be perfect DC there wouldn't be any imaginary components in the currents or voltages. If the imaginary part is present in all of the terms, does this mean that I should have double amount of equations compared to completely steady state DC circuit? Any help is appreciated.

Solving the electrical equivalent circuit equations containing complex numbers.

Kalle Palola

2020 1 31

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13 次查看（30 天）

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I have a huge set of complex number equations to solve. It is an equivalent circuit of an electrical circuit. The circuit is basically a DC circuit and the situation we are solving is a steady-state problem. The DC still has an AC ripple component on top of the DC component.

Mathematically the problem looks like this: [Z] * [I] = [U]. I have variables in every term of the equations. The unknown may be in different term (Z/I/U) on different rows. On row one I may know the current 'I' and the impedance 'Z'. On row two I may know some different things. For example I and U. etc. You get the idea.

How to solve this kind of problem where variables/unknowns are located in different parts of the equations?
What are the worksteps in this kind of situation?
Should I definitely use Simulink or is it possible to solve this with pure Matlab-coding?

And the complex numbers also worry me:

How about the complex numbers in general. Are they a problem?
If the ripple effect is taken into account I assume that in every part of the circuit the complex numbers are present in all of the terms (Z/I/U). By this I mean that if the current would be perfect DC there wouldn't be any imaginary components in the currents or voltages.
If the imaginary part is present in all of the terms, does this mean that I should have double amount of equations compared to completely steady state DC circuit?

Any help is appreciated.