Root mean square#

This block calculates the RMS value of the input quantity. The following formula is used for calculations, which is true when the decimation factor of project fundamental discretization frequency is equal to 1 or the sampling time (frequency) is equal (equal) to the integration step (the value inverse of the integration step) (1):

(1)#\[ U_{RMS}\>=\>\sqrt{\frac{1}{T}\>\cdot\>\int_{t\>-T\>}^{t}{U\left(t\right)^2}\cdot ∆t} \]

where:

\(U_{RMS}\) - RMS value of the input quantity;

\(T\) - period of the input quantity;

\(∆t\) - project integration step.

Decimation under conditions other than the above changes the calculation method to the following (2):

(2)#\[ U_{RMS}\>=\>\sqrt{\frac{1}{T}\>\cdot\>\int_{t_i\>-T\>}^{t_i}{U\left(t_i\right)^2}\cdot ∆t_i)} \]

where \(∆t_i\) - sampling period.

1. Properties#

Property	Default value	Description	Units of measurement
Initial RMS value	1	Half the width of the gap zone	-
Fundamental frequency	2	Gain	Hz
Sampling type: Fundamental project frequency decimation; Sample time; Sampling frequency	Fundamental project frequency decimation	-	-
Decimation factor of project fundamental discretization frequency, available when selecting `Sampling type` - `Fundamental project frequency decimation`	1	-	-
Sample time, available when selecting `Sampling type` - `Sample time`	0.05	-	s
Sampling frequency, available when selecting `Sampling type` - `Sampling frequency`	20.0	-	Hz

Parameters	Input/Output	Description	Units of measurement	Port type
Input	Input	-	-	Automation
Output	Output	-	-	Automation

In order to see the connection capabilities of the block, you need to go to page Description of block ports

Examples of using this block can be found in the following sections:

Tutorials

Library	Tutorial name
Electronics	Single machine power system powered by inverter