Minimum input data resolution

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Dear all,
I'm trying to use the system identification toolbox for the first time for characterizing a microgrid. While preparing the input data for the model (in this case I have 1 second time resolution data), I asked myself whether or not this time resolution I have is sufficient or not. Can any of you provide me with some insight as to how I could try to asnwer this question?
Of course, it is not practical for me to get data with higher time resolution than 1 second. But even in this case, I would like to have a feeling to what kind of inaccuracies that I might get for not having a higher time resolution. How can I get an estimation on this before starting the modeling process?
regards
Buddi

Accepted Answer

Rajiv Singh
Rajiv Singh on 22 Jul 2020
Look up Nyquist Sampling Theorem. If you are sampling (hopefully with anti-aliasing) at 1Hz then you cannot theoretically capture dynamics higher than 0.5 Hz. Some (may be subtle) aspects:
  • This is in linear case only.
  • In practice it is good to keep sampling 5-10 times faster than the highest frequency in the system that you are interested in capturing.
  • This is in absence of any additional priors; otherwise: look up compressed sensing literature.

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