Hi,
SITUATION:
I am trying to recreate something similar to the inverter model contained in:
Conference Paper State-space model of an inverter-based micro-grid
There is a Droop Controller that feeds a Voltage Regulator that feeds a Current Regulator that powers a LCL filter.
MY PROBLEM:
1. When combining the Voltage and Current state models. A and C is 3x3, B and D are 2x8. I pad them out with redundant zeros to make them all 8x8, unsure if this correct? When I multiply them out as listed in the link below, I lose all the controller information from the Current Regulator, such as the integrator and proportional controller coefficients and the decoupling terms.
2. The Voltage and Current state models share the same inputs as the Droop controllers, so they are not perfectly in series. Is there a strategy to combine state space models that share inputs?
Thanks
https://www.nasa.gov/centers/dryden/pdf/88038main_H-1264.pdf
Hi Sandford Stebbings
It depends on your models and if they are linear, plus your formulation and design. you may need to cascade your models in case of mutual dependence. A very good guide is here, please have a look:
https://www.nasa.gov/centers/dryden/pdf/88038main_H-1264.pdf
To add further to what Ghulam Mohy-ud-din said, while clubbing together interdependent variables will fill up off-diagonal elements of overall system matrix, independent variables the diagonal elements with sparsity quite predominant in the combined system.
In relation to you query, I would like to suggest you to follow any standard Book of Systems of Control Theory, with focus on linearization, which will enable you how to integrate, combine state space models and how to discretize them etc.,. For good such concepts you may need to follow some book on Matrix Analysis with Applications. A simple computing example: https://kevinkotze.github.io/ts-4-tut/
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