STATCOM hardware sizing — Ramin Hosseinzad

01

Live experiment

Educational example · phase RMS quantities · balanced three-phase system

Power balance · kW / kvar

50 HzPWM

Switching detail · 0.5 ms window

Target tan φ′0.4Switching frequency10 kHzPeak-to-peak ripple / peak current15 %

Compensator RMS current: 59.01 A
Minimum DC voltage: 722.82 V
Coupling inductance: 0.87 mH
Grid reactive power: 32 kvar

02

Model & equations

The inverter supplies the required reactive power locally. The grid retains the active power and any allowed residual reactive power. Ripple is specified peak-to-peak relative to the fundamental peak current.

Q_{comp}=\max(0,Q_{load}-P\tan\varphi'),\quad I_{comp}=\frac{Q_{comp}}{3V_g}

E_{min}=\frac{2\sqrt2 V_g}{m_{a,max}},\quad L=\frac{E}{6.9 f_c\Delta I_{pp}},\quad\Delta I_{pp}=r\sqrt2 I_{comp}

E=750\,\mathrm{V}>E_{min}=722.82\,\mathrm{V}

03

Example parameters

Vg: 230 V RMS
f: 50 Hz
E: 750 V
Rcc: 0.05 Ω
Xcc: 0.1 Ω
R: 0.05 Ω
Rf: 0.6 Ω
P: 80 kW
cos φ: 0.74
fc: 10 kHz
L: 0.87 mH
Δt: 1 ms