⚡
STANDALONE 3-PHASE INVERTER · VECTOR CONTROL
DC Bus → VSI → LC Filter → Load · dq Reference Frame · Inverse Park → Inverse Clarke → PWM
50.0 Hz
VECTOR CTRL
θ = 0.00°
👥 Team:
Ammar Yasser
|
Abdullah Waheed
🧑🏫 Supervisor:
Dr. Eng. Abdelaziz Abdelsamie Ismail
🔌 SYSTEM TOPOLOGY
① dq REFERENCE
Vd*, Vq*
Rotating frame
→
② INV. PARK
dq → αβ
θ from PLL
→
③ αβ FRAME
Vα, Vβ
Stationary
→
④ INV. CLARKE
αβ → abc
3-phase modulation
→
⑤ LC FILTER
Lf, Cf
Voltage shaping
→
⑥ LOAD
R + L + C
User defined
→
⑦ PLL
ωt: 0→2π
Angle tracking
⚙ PARAMETERS
Vd* ref (V)
200 V
Vq* ref (V)
0 V
Frequency f (Hz)
50 Hz
Lf Filter (mH)
5 mH
Cf Filter (μF)
50 μF
R Load (Ω)
20 Ω
L Load (mH)
0 mH
C Load (μF)
0 μF
Speed ω (×f₀)
1.00 ×
⏸ PAUSE
⟳ RESET
① dq ROTATING FRAME
Vd* =
200
V · Vq* =
0
V
— Vd (d-axis)
— Vq (q-axis)
② αβ STATIONARY FRAME
Inv. Park
● Vα
● Vβ
③ THREE-PHASE OUTPUT (abc)
Inv. Clarke
● Va
● Vb
● Vc
④ PLL ANGLE ωt
0 → 2π
— θ(t) sawtooth
● current θ
αβ PHASOR SPACE
rotating vector
POWER TRIANGLE
P–Q–S
⚡ POWER ANALYTICS
P = (3/2)(Vd·Id + Vq·Iq) Q = (3/2)(Vq·Id − Vd·Iq)
Active Power P
0.0
Watts
Reactive Power Q
0.0
VAr
Apparent Power S
0.0
VA
Power Factor
1.000
cos φ
Phase Angle φ
0.0°
V–I angle
|V| inverter peak
0.0
V peak
LC Resonant freq
0.0
Hz (fr = 1/2π√LfCf)
Vout (after filter)
0.0
V peak (estimated)
📐 REAL-TIME TRANSFORMS & EQUATIONS