There are no errors added after the signal has been transfered to the digital domain. Errors of the analog input signal (offset, noise) are supplemented by quantization errors and ADC non-linearity.
I guess, you are talking about a di/dt current sensor (Rogowski coil) interface?
There are no errors added after the signal has been transfered to the digital domain. Errors of the analog input signal (offset, noise) are supplemented by quantization errors and ADC non-linearity.
If no errors in digital domain, then why do people goto the trouble of doing more advanced 4th order integrators like Runge-Kutta? Why not just do simple Forward Euler and be done with it?
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I would think that since the step size is not infinitely small, every step some error is produced.
Runge Kutta is for solving differential equations, which is a completely different problem than calculating the integral of a sampled waveform. Provided that the requirements of the sampling theorem are fulfilled (no spectral components of the signal higher than 1/2 of sampling frequency), the time-discrete signal processing operations can be exactly described by z-transformations.
In a short, yes. You can review the datasheets of energy measurement chips, e.g. from Analog, that are all providing digital integrators for di/dt sensors and check the implementation parameters.
Can you explain further? I dont see how integration is different in applying to a di/dt waveform vs. being used to reduce derivatives in a differential equation?
I know this is a loaded question, but what do you think would be the smallest acceptable voltage level for di/dt out of the rowgoski coil to accuratley measure? (whether going into a Analog integrator or sampled and into Digital Integrator)
Provided you provide sufficient ADC resolution, the minimal voltage is mainly limited by input amplifier noise. It's reasonable to use lowest noise amplifiers for sensitive Rogowski coil measurements. All practical integrators will implement at least one zero respectively place a highpass in front of the integrator. The noise of the integrator output (current signal) depdends strongly on the high pass cut-off frequency. uV resolution and mV full scale order of magnitudes are achievable.