Value | Formula |
---|---|
Frequency | \( f=\frac{1}{T} \) |
Average rectified value (ARV) | \( {X}_{\mathrm{ARV}}=\frac{1}{T}{\displaystyle \underset{t_0}{\overset{t_0+T}{\int }}}\left|x(t)\right|dt \) |
Root mean square (RMS) | \( {X}_{\mathrm{RMS}}=\sqrt{\frac{1}{T}{\displaystyle \underset{t_0}{\overset{t_0+T}{\int }}}x{(t)}^2dt} \) |
Offset | \( {X}_{\mathrm{offset}}=\frac{1}{T}{\displaystyle \underset{t_0}{\overset{t_0+T}{\int }}}x(t)dt \) |
Maximum value | \( {X}_{\max }={ \max}_{\left\{{t}_0..{t}_0+T\right\}}\left(x(t)\right) \) |
Minimum value | \( {X}_{\min }={ \min}_{\left\{{t}_0..{t}_0+T\right\}}\left(x(t)\right) \) |
Amplitude | \( \widehat{X}=\frac{\left({X}_{\max }-{X}_{\min}\right)}{2} \) |
Crest factor | \( C = \frac{X_{\max }}{X_{\mathrm{RMS}}} \) |
Total harmonic distortion | \( \mathrm{T}\mathrm{H}\mathrm{D} = \frac{\sqrt{{\left({H}_2\right)}^2+{\left({H}_3\right)}^2+{\left({H}_4\right)}^2+\dots +{\left({H}_n\right)}^2\ }}{H_1} \) |
Phase | \( \varphi =\frac{360}{T}*\left({t}_{\max }-{t}_0\right) \) |
Harmonics 0 to 50 | H i = DFT8192| i = 0..50 |
Active power* | \( P=\frac{1}{T}{\displaystyle \underset{t_0}{\overset{t_0+T}{\int }}}V(t)*I(t)dt \) |
Apparent power* | S = V RMS * I RMS |
Reactive power* | \( Q=\sqrt{S^2-{P}^2} \) |