[Bldg-sim] Estimating system matrix A from simulation engine

Michael Wetter mwetter at lbl.gov
Tue Oct 30 09:48:46 PDT 2012


Most Modelica simulation environments allow you to linearize a model at the
current state and save the A,B,C and D matrix that are its state-space
representation at the point of linearization. See

Michael Wetter.
Modelica-based Modeling and Simulation to Support Research and Development
in Building Energy and Control
Systems.<http://dx.doi.org/10.1080/19401490902818259>
*Journal of Building Performance Simulation*, 2(2):143-161, 2009.
Also available as LBNL Technical Report
LBNL-2740E.pdf<http://simulationresearch.lbl.gov/wetter/download/LBNL-2740E.pdf>
.

where this is demonstrated for a nonlinear heat exchanger model. The
Modelica Buildings library (http://simulationresearch.lbl.gov/modelica/)
contains a room model which you should be able to use for the same process
to get the A,B,C and D matrices for a building model.

Best,

Michael

On Sun, Oct 28, 2012 at 6:54 AM, 김덕우 <deukwookim at skku.edu> wrote:

> Dear all, ****
>
> ** **
>
> Is there a method to estimate system matrix *A* (of zone or building)
> from simulation engines such as E+, ESP-r??  ****
>
> (The* A* is commonly found in state-space equation, e.g. x’ = *A*x + Bu.)*
> ***
>
> ** **
>
> As far as I know, only system identification method can be applied in this
> situation.****
>
> (but, I not sure that it is reliable)****
>
> ** **
>
> If there is more advanced way or efficient way to estimate *A, *please
> let me know. ****
>
> ** **
>
> Any comments would be appreciated. ****
>
> ** **
>
> Thanks in advance. ****
>
> ** **
>
> Best Regards,
> Deuk-Woo Kim ****
>
> ** **
>
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