Empirical Modelling Notes

Empirical Modelling Notes - Empirical Modelling ES1050 What...

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Empirical Modelling: ES1050 What is this? Systems can be empirically modelled; we need data gathered by appropriate instruments Data can be regressed in different ways Data sets and regressions need to make sense Every system has inputs and outputs (dependent variables) All models are WRONG but some are useful TYPES OF MODELS MATHEMATICAL MODEL Mathematical Model: a mathematical expression that defines the relationship bwn output and input variables of a system If it changes with time, the model is dynamic or transient If it doesn’t, it’s steady-state or static Relationship can be developed theoretically, empirically, or a hybrid EMPIRICAL: based on experimental observation and statistical manipulation to fit a given eqn EMPIRICAL MODEL Define process/system Identify factors that can be controlled, not controlled Design meaningful experiments Identify parameters to measure, select measurement devices for input and output Determine the devices’ accuracy Measure values of parameters Analyze input and output data Establish the relationship in eqns, use model for predictions The system can modeled empirically as a BLACK BOX MEASUREMENT DEVICES Temperature transducers Pressure Transducers Liquid or gas flow rate measuring devices Liquid level transducers ACCURACY IN MEASUREMENTS Check for instrument zero, input span, instrument gain, precision, accuracy, reproducibility Gain = output span/ input span 1
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