Linearization for analyzing closed loop eigenvalues with SimPowerSystems
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I need to use linearization to analyze the closed loop eigenvalues of a power system, including one or more inverters, one or more synchronous generators, loads and line impedances. Example papers I've looked at [1-2] describe how to linearize the controller and plant equations about an operating point, format them into Ax+Bu format, and calculate eigenvalues. I'd like to use Matlab's linearization techniques instead of linearizing by hand, but I'm having trouble using either the Simulink Control Design linearization tools, or linmod.
I'd like to construct the network with SimPowerSystems, so that I can simulate it and know that it is working as expected, then do the linearization with a simulation snapshot as the operating point.
All of the examples I've found for the Control Design toolbox require you to set io points, and thus appear to be for analyzing SISO systems (examples are for tuning a single controller). I saw in the help file for linearize() that the io point can be omitted in order to linearize the entire Simulink model, which I think is what I'm trying to do.
The power_analyze() function looks like it would also be useful, except that it only analyzes the electrical states, and thus neglects the dynamics of the controller(s).
Hopefully I've explained what I'm trying to do, and someone can give me guidance or examples on how to do it. Thanks!
References: [1] N. Pogaku, M. Prodanovic, and T. C. Green, "Modeling, analysis and testing of autonomous operation of an inverter-based microgrid," IEEE Trans. Power Electron., vol. 22, pp. 613-625, 2007. [2] F. Katiraei and M. R. Iravani, "Power management strategies for a microgrid with multiple distributed generation units," IEEE Trans. Power Sys., vol. 21, pp. 1821-1831, 2006.
1 Comment
Dhanashri Changan
on 15 Oct 2021
please sir, suggest me any document to refer, "how to linearize microgrid model by hand on paper"
Answers (2)
Arkadiy Turevskiy
on 27 Sep 2013
Simulink Control Design lets you linearize and analyze systems with arbitrary number of inputs and outputs. You are not limited to SISO systems.
Just set the IO linearization points at the needed inputs and outputs, and linearize the system.
2 Comments
Dhanashri Changan
on 15 Oct 2021
please sir, suggest me any document to refer, "how to linearize microgrid model simulation and on paper"
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