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FACTS devices

Electrical and Electronics Engineering (B.E./B.Tech) · Power systems · free study notes for exams, placements and interviews

In short

FACTS (Flexible AC Transmission Systems) are power-electronic controllers that rapidly adjust the voltage, line impedance or phase angle of an AC transmission line so that power flow, voltage profile and stability can be controlled without changing the network itself. They let an existing line carry more power up to its thermal limit instead of being limited by voltage drop or stability margins. The topic is examined in Power Systems and Power Electronics papers and appears regularly in GATE EE (SVC, STATCOM, TCSC characteristics) and in interviews for POWERGRID, state transcos, NTPC, Siemens Energy, Hitachi Energy (formerly ABB), GE Vernova and Toshiba T&D. India has large installed FACTS capacity — POWERGRID's SVCs and STATCOMs on the 400 kV network and TCSCs on long inter-regional corridors — so field and design roles expect working knowledge.

Explained

Why FACTS: the limits of an AC line

Classification of FACTS controllers

Shunt devices: SVC and STATCOM

Series devices: TCSC and SSSC

Combined controllers: UPFC, IPFC and phase shifters

Benefits, limitations and Indian practice

Key points

Formulas and examples

P = (V₁ V₂ / X) sin δ — active power over a lossless line; V₁, V₂ = line-to-line voltages (kV), X = series reactance (Ω), δ = angle between them (deg), P in MW
P_comp = V₁ V₂ sin δ / [X_L (1 − k)] — with series compensation, k = X_C / X_L (per unit, dimensionless)
SIL = V² / Z_s, Z_s = √(L/C) — surge impedance loading in MW; V in kV, Z_s in Ω
Q_SVC = V² · B_SVC = V² (B_C − B_L(α)) — reactive power (MVAr) of a shunt susceptance B (siemens) at bus voltage V (kV)
B_TCR(α) = (2π − 2α + sin 2α) / (π X_L) — fundamental susceptance of a TCR, α in radians (π/2 ≤ α ≤ π), X_L in Ω
X_TCSC(α) = X_C · X_L(α) / (X_L(α) − X_C) — effective series reactance; X_L(α) = apparent reactance of the TCR branch (Ω)
Q_STATCOM = V (E − V) / X — reactive power exchange; E = converter fundamental voltage (kV), X = coupling reactance (Ω)
I_STATCOM = (E − V)/X; Q ≈ V · I_rated at the limit (linear in V)
V_inj (SSSC) = ± j k_s X_L I_line — quadrature injected voltage (kV); equivalent reactance X_eq = V_inj / I_line
Q_shunt required for voltage correction ≈ (ΔV/V) · S_sc, where S_sc = short-circuit level (MVA) at the bus
Line charging MVAr = V² ω C ℓ; shunt reactor rating is usually 50–80% of this for long EHV lines

Example 1 — Series compensation raises transfer capability. A 400 kV line, X_L = 100 Ω, both ends held at 400 kV, operating at δ = 30°.

Example 2 — TCR susceptance and SVC output. A TCR has X_L = 20 Ω per phase (star equivalent referred to 33 kV), fired at α = 120° (= 2π/3 rad).

Example 3 — SVC versus STATCOM during a voltage dip. Both rated 100 MVAr capacitive at 1.0 pu bus voltage. Bus voltage falls to 0.7 pu.

Example 4 — Shunt compensation sizing from short-circuit level. A 220 kV bus has a short-circuit level of 4000 MVA and sits at 0.96 pu; the target is 1.0 pu.

Example 5 — Line charging and reactor sizing. A 400 km, 400 kV line with C = 0.0115 µF/km, f = 50 Hz.

FeatureSVC (TCR/TSC)STATCOM (VSC)TCSCSSSCUPFC
ConnectionShuntShuntSeriesSeriesSeries + shunt
SwitchThyristorIGBT/GTOThyristorIGBT/GTOIGBT/GTO
Acts asVariable susceptanceVoltage source behind XVariable reactanceSeries voltage sourceBoth
ControlsBus voltage, QBus voltage, QLine X, power flowLine X, power flowV, P and Q independently
Output at low V∝ V² (poor)∝ V (good)∝ I² (falls with current)Independent of IGood
Response20–40 ms1–5 ms1–3 cyclesfew msfew ms
HarmonicsSignificant, filters neededLow (multilevel/PWM)Low–moderateLowLow
Footprint and costLarge, lower ₹/MVArCompact, higher ₹/MVArModerateModerateLargest cost
SSR behaviourNot applicableNot applicableMitigates SSRImmuneImmune
Line lengthBinding limitUsual FACTS/compensation remedy
Short (< 80 km)Thermal (conductor temperature)None useful; reconductoring/HTLS
Medium (80–300 km)Voltage drop / regulationShunt capacitors, SVC, STATCOM
Long (> 300 km)Steady-state and transient stabilitySeries compensation (fixed/TCSC), midpoint SVC/STATCOM, UPFC

Where it is used

Interview questions

Common mistakes

Related topics

Transmission lines and cables · Power system stability · HVDC transmission · Power quality and harmonics · Smart grid and renewable integration · Power system operation, SCADA and EMS

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