In short
An electric drive is the complete system that converts electrical energy into controlled mechanical motion: power source, power-electronic converter, motor, sensors, controller, gearing and the load. Roughly half of India's electricity is consumed by motors, so drives decide both the productivity and the energy bill of pumps, fans, lifts, rolling mills, machine tools, textile machines, cranes and vehicles. The subject is examined heavily in GATE (EE) — drive dynamics, four-quadrant operation, DC and induction motor speed control, motor rating — and in university Power Electronics and Drives papers. It is core interview material for ABB, Siemens, Schneider, Danfoss, Delta, Yaskawa, Rockwell, Lucas-TVS, Tata Steel, L&T, BHEL, Kirloskar, Crompton, Ather, Ola Electric, TVS, Bosch and Hitachi, and for plant-maintenance and automation roles.
Explained
What a drive is, and why variable speed
- Blocks: supply → converter (rectifier/inverter/chopper/AC controller) → motor → mechanical transmission (belt, gear, lead screw, drum) → load; with sensing (current, voltage, speed/position, temperature) feeding a controller that closes current, speed and position loops.
- Classification by control: (a) unregulated/open-loop — a VFD on a fan, no feedback; (b) closed-loop regulated — speed or torque held against disturbance; (c) servo drive — fast position/torque control for machine tools and robots.
- Classification by motors: single-motor (a drill), group drive (one motor + line shaft — obsolete, poor efficiency and single-point failure), multi-motor (each roll of a paper machine or steel mill driven separately and electronically coordinated).
- Classification by supply: DC drives (phase-controlled rectifier or chopper), AC drives (VSI-fed, CSI-fed, cycloconverter-fed), and battery-fed drives.
- Why electric drives win: wide speed range, high starting torque available on demand, four-quadrant capability, regeneration back to supply, no pollution at the point of use, high efficiency, remote and programmable control, compact, long life.
- Why variable speed instead of throttling: for centrifugal pumps and fans torque ∝ N² and power ∝ N³, so reducing speed to 80 % cuts shaft power to about 51 % — the largest single industrial energy-saving measure in India, and the basis of most BEE/PAT-scheme retrofit proposals.
- Limitations: converter cost, injected harmonics and EMI, common-mode shaft voltages and bearing currents, derating of motor cooling at low speed, need for skilled commissioning.
Drive dynamics and four-quadrant operation
- Fundamental torque equation: T − T_L = J dω/dt (+ Bω for viscous friction). T > T_L accelerates, T < T_L decelerates, equality gives steady state.
- Steady-state stability: an operating point is stable if d(T − T_L)/dω < 0 — i.e. the motor characteristic must fall (or the load rise) faster than the other with speed.
- Referring to the motor shaft: with gear ratio a = ω_motor/ω_load and transmission efficiency η, J_eq = J_m + J_L/(η a²) and T_L,eq = T_L/(η a). For translational motion (hoists, traction, feed slides) J_eq = J_m + M(v/ω_m)²/η and T_L,eq = F v/(η ω_m).
- Four quadrants (torque on one axis, speed on the other): Q1 forward motoring, Q2 forward braking (regenerating while still running forward), Q3 reverse motoring, Q4 reverse braking — a hoist lowering a load sits in Q4, delivering power back into the drive.
- A two-quadrant drive gives one direction with braking; a four-quadrant drive needs a dual (back-to-back) converter in DC drives, or an active front end / braking chopper with resistor in AC drives.
- Load torque components: friction (Coulomb + viscous + stiction at rest), windage ∝ ω², gravity (constant, and reversible in sign), and the useful process torque.
- Passive vs active loads: passive load torque always opposes motion (pumps, conveyors); active load torque keeps its direction (gravity on a hoist, a vehicle on a gradient) and is what makes Q4 operation necessary.
Load characteristics, starting and braking
- Load types: constant torque (hoists, conveyors, extruders, positive-displacement pumps) — power rises with speed; torque ∝ N² (centrifugal pumps, fans, blowers); torque ∝ 1/N, constant power (winders, lathes, coilers); torque ∝ N (calenders, eddy-current brakes).
- Starting: the drive must supply breakaway torque plus accelerating torque within the permitted current. Starting time t = ∫ J dω/(T − T_L).
- Starting methods without converters: DC — armature starter resistance in steps; induction motor — DOL (allowed only for small ratings per utility rules), star-delta (torque falls to 1/3), autotransformer, soft-starter (SCR AC controller), rotor-resistance starting for slip-ring motors.
- With a VFD or chopper, starting current is limited electronically — full torque is available at near-zero speed with only rated current, which is the single biggest practical advantage over fixed-speed starting.
- Braking — regenerative: machine runs above synchronous speed / back-emf exceeds applied voltage; energy returns to the supply. Needs a converter capable of reverse power flow (dual converter, active front end). Most efficient; standard on lifts, cranes, downhill conveyors, centrifuges.
- Braking — dynamic (rheostatic): kinetic energy is dumped in a resistor; in AC drives a braking chopper across the DC bus switches the resistor. Simple, reliable, wastes energy.
- Braking — plugging (counter-current): supply reversed; for an induction motor two phases are interchanged so slip ≈ 2, giving heavy braking torque with very high losses — used only for quick stops/reversals.
- DC injection braking: DC fed into induction motor stator windings produces a stationary field; used for stopping fans, saws and spindles.
- Mechanical brake is still required as a holding and fail-safe brake on hoists and lifts; electrical braking cannot hold a load at zero speed safely by itself.
DC drives and their speed control
- Equations (separately excited): V = E + I_a R_a, E = Kφ ω, T = Kφ I_a → ω = (V − I_a R_a)/Kφ. Hence three control handles: armature voltage, armature resistance, field flux.
- Armature-voltage control (phase-controlled rectifier or DC chopper) — speed from zero to base speed at constant torque, high efficiency; the standard method.
- Field weakening above base speed — constant power region; torque falls as 1/ω; limited by commutation and stability (typically up to 2–3 × base speed).
- Armature-resistance control — cheap, but drops speed only under load and wastes I²R; obsolete except in old cranes and traction.
- Ward-Leonard scheme (motor-generator set feeding the armature) gave smooth four-quadrant control with regeneration; now replaced by static converters, but still an exam favourite as the conceptual ancestor.
- Series motor gives T ∝ I² at low speed — high starting torque, speed varies sharply with load; used in older traction and in universal motors (mixers, drills).
- Why DC drives are fading: brushes and commutator need maintenance, limited speed and power density, dust/explosion restrictions — AC drives match performance at lower cost. DC drives survive in old rolling mills, cranes, kilns and retrofits.
AC drives: induction, synchronous and PM machines
- Speed basics: N_s = 120f/P, N = (1 − s)N_s. So speed control = change f, change P (pole-changing/PAM), or change s (voltage, rotor resistance, slip-power recovery).
- Stator-voltage control (AC voltage controller): torque ∝ V², so torque falls fast and rotor losses rise; suitable only for fan-type loads and small motors.
- Rotor-resistance control (slip-ring motors): maximum torque unchanged, s_maxT shifts; rotor copper loss = s × air-gap power, so efficiency drops linearly with speed reduction.
- V/f (scalar) control: keep V/f constant to hold flux, hence constant maximum torque, from about 5 Hz to base frequency; add voltage boost at low frequency to offset stator resistance drop, and run constant voltage above base frequency (field weakening, constant power). Open-loop V/f is the workhorse for pumps, fans and conveyors.
- Slip compensation adds a frequency increment proportional to load current to hold speed roughly constant without a sensor.
- Vector / field-oriented control (FOC): stator current is resolved in a rotating d-q frame into a flux-producing component i_d and a torque-producing component i_q, giving DC-machine-like decoupled torque control and full torque at zero speed. Direct FOC uses flux sensing/estimation; indirect FOC computes rotor flux angle from the measured rotor position/speed and the rotor time constant.
- Direct torque control (DTC): hysteresis comparators on torque and flux pick the inverter voltage vector from a lookup table — very fast torque response, no PWM modulator, but variable switching frequency and torque ripple.
- Sensorless vector control estimates speed/position from the machine model; accurate above a few hertz, weak at standstill (needs signal injection).
- Slip-power recovery for large slip-ring motors: static Kramer (rotor rectifier + inverter returning slip power to the line — sub-synchronous only) and static Scherbius (bidirectional converter — sub- and super-synchronous). Used for large pumps, fans, and the doubly-fed arrangement in big machines; efficiency stays high because slip power is recovered instead of burnt.
- Synchronous motor drives: run at exact synchronous speed, power factor adjustable by field current; true-synchronous, self-controlled (load-commutated) and cycloconverter-fed modes serve very large low-speed drives (mills, mine hoists).
- BLDC (trapezoidal back-emf, Hall sensors, six-step commutation) and PMSM (sinusoidal back-emf, FOC with resolver/encoder) give the highest efficiency and torque density — now dominant in EV traction, e-rickshaws, fans, pumps and appliances. SRM is rugged and magnet-free but noisy with high torque ripple.
- Comparison of torque control quality: V/f (±2–3 % speed, slow) < slip-compensated V/f < sensorless vector < vector with encoder (±0.01 % speed, torque bandwidth of several hundred Hz, full torque at zero speed).
Rating, heating and motor selection
- Thermal basis: a motor's rating is a temperature-rise limit, not a torque limit. Heating follows θ = θ_ss(1 − e−t/τ) + θ₁e−t/τ, with τ = C/A (thermal capacity / dissipation coefficient), typically 30–120 min for heating and longer for cooling in a stopped self-ventilated motor.
- Insulation classes (IS/IEC 60085): A 105 °C, E 120 °C, B 130 °C, F 155 °C, H 180 °C. Indian LV motors are usually Class F insulated with Class B temperature rise, giving thermal margin for 50 °C ambient and voltage swings.
- Duty classes (IS/IEC 60034-1): S1 continuous, S2 short time, S3 intermittent periodic, S4 intermittent with starting, S5 with electric braking, S6 continuous with intermittent load, S7 with braking, S8 with speed changes, S9 non-periodic.
- Continuous variable load: size on rms torque/current; check the peak torque against pull-out (typically 2–2.5 pu for an IM, 1.5–2 pu for a VFD-fed drive) and the converter current limit.
- Load equalisation: a flywheel absorbs peaks in press, shear and rolling-mill drives so the motor sees near-average torque; it cannot be used where speed must stay constant.
- Selection checklist: load torque-speed curve and duty cycle, speed range and accuracy, four-quadrant need, inertia ratio, ambient and altitude derating, enclosure (IP code, IS/IEC 60034-5) and cooling (IC code, 60034-6), mounting (IS 2253), efficiency class, harmonics and cable length limits, and whether an inverter-duty winding is needed.
- Indian standards and practice: IS 12615 classifies LV three-phase induction motors as IE1/IE2/IE3/IE4 (IE5 is defined in IEC 60034-30-2 for VSD-fed motors); India's minimum energy performance standard under BIS Quality Control Orders has been IE2 for 0.37–375 kW, with a move to IE3 notified/phased in — verify the current QCO before quoting it. IS/IEC 60034 series covers rating and testing, IS 8789 performance, IS/IEC 61800 series covers adjustable-speed drives (61800-2 ratings, 61800-3 EMC, 61800-5-1 safety, 61800-9 drive-system efficiency IE/IES classes). Energy efficiency is driven by the Energy Conservation Act 2001 (amended 2022), BEE star labelling and the PAT scheme; harmonic injection at the point of connection is limited by CEA technical standards for connectivity (commonly aligned to IEEE 519 / IEC 61000-3-12 limits), and installation/earthing by IS 732 and the CEA (Safety and Electric Supply) Regulations, 2023.
Closed-loop control and protection
- Cascade (nested) structure: innermost current/torque loop (fastest, also enforces the current limit), then speed loop (PI, with inertia-based tuning), then position loop where needed. Each outer loop is tuned an order of magnitude slower than the one inside it.
- Feedback devices: incremental/absolute encoder, resolver, tacho-generator, Hall sensors; current via shunt, CT or Hall-effect LEM sensor.
- Why the current loop matters: it converts the drive from a voltage source into a torque source, protects the converter, and makes the speed loop's plant simply J.
- Essential protections: over-current and I²t motor thermal model, short circuit, earth fault, over-/under-voltage, DC-bus over-voltage during braking, phase loss, stall and locked-rotor, over-temperature (PTC/thermistor in windings), over-speed, and STO (Safe Torque Off) functional-safety input on modern drives.
- Practical VFD issues: dv/dt stress and reflected-wave over-voltage on long motor cables (use dU/dt or sine filters), bearing currents (insulated bearing or shaft brush), derating of a self-cooled motor below about 20 Hz (add forced cooling), and input harmonics (line reactor, 12-pulse, or active front end).
Key points
- Electric drive - converter + motor + transmission + controller acting together to control torque, speed or position of a load.
- Fundamental equation - T − T_L = J dω/dt; everything in drive dynamics follows from it.
- Equivalent inertia - loads referred through a gear ratio a divide by a² (and by efficiency η).
- Four quadrants - motoring and braking in both directions; a hoist lowering a load is quadrant IV.
- Active load - gravity-type torque that keeps its sign and forces regeneration; passive load torque always opposes motion.
- Stability criterion - operating point stable when d(T − T_L)/dω < 0.
- Load classes - constant torque, torque ∝ N² (fans/pumps), constant power (winders), torque ∝ N.
- Affinity law - centrifugal power ∝ N³; speed reduction is the biggest energy saving in pump/fan drives.
- Braking - regenerative (energy returned, most efficient), dynamic (resistor), plugging (fast, lossy), DC injection (AC motors).
- DC speed control - armature voltage below base speed (constant torque), field weakening above (constant power).
- V/f control - constant flux gives constant maximum torque; needs low-frequency voltage boost.
- Vector control - d-q decoupling gives full torque at zero speed and the fastest torque response; DTC achieves similar speed with hysteresis switching.
- Slip-power recovery - Kramer (sub-synchronous) and Scherbius (both ways) recover rotor slip power instead of wasting it in resistance.
- Rotor-resistance control - keeps T_max but wastes s × P_airgap as rotor copper loss.
- Rating is thermal - size on rms loading, verify peak torque and the heating time constant; short-time ratings exceed continuous ratings.
- Duty classes S1-S9 and insulation classes A-H (IS/IEC 60034-1, 60085) define what a nameplate rating actually means.
- Indian codes - IS 12615 (IE1-IE4 efficiency), IS/IEC 60034, IS/IEC 61800 series, Energy Conservation Act 2001/2022, BEE star labels.
- Cascade control - current loop inside speed loop inside position loop; the current loop also sets the current limit.
Formulas and examples
J_eq = J_m + Σ J_i/(η_i a_i²), T_L,eq = Σ T_Li/(η_i a_i), a_i = ω_m/ω_i — referring rotating loads to the motor shaft
J_eq(translational) = J_m + M (v/ω_m)²/η, T_L,eq = F v/(η ω_m) — M mass (kg), v linear speed (m/s), F force (N)
P = T ω = 2πNT/60; practical form T (N·m) = 9550 × P(kW)/N(rpm)
N_s = 120 f/P; s = (N_s − N)/N_s; N = (1 − s) N_s — f in Hz, P = number of poles
P_airgap = P_mech/(1 − s); rotor copper loss P_cu2 = s × P_airgap
T = (3/ω_s) · V²(R₂′/s) / [(R₁ + R₂′/s)² + X²]; s_maxT = R₂′/√(R₁² + X²); T_max independent of R₂′
DC machine: V = E + I_a R_a, E = Kφ ω, T = Kφ I_a, ω = (V − I_a R_a)/Kφ — Kφ in V·s/rad
V/f control: V₂/V₁ = f₂/f₁ (constant flux); above base frequency V constant → constant-power region, T ∝ 1/f (T_max ∝ 1/f²)
θ = θ_ss (1 − e−t/τ) + θ₁ e−t/τ; τ = C/A — θ temperature rise (°C), C thermal capacity (J/°C), A dissipation (W/°C)
Short-time rating: P_short/P_cont = √[1/(1 − e−t/τ)] (losses assumed ∝ load², constant losses neglected)
T_rms = √(Σ T_i² t_i / Σ t_i); flywheel sizing: J ≈ (T_peak − T_avg) t_peak / Δω
Example 1 - Referred inertia and starting time. Motor J_m = 0.5 kg·m² at 1500 rpm drives a load of J_L = 6 kg·m² and T_L = 40 N·m through a 3:1 gearbox (η = 0.9). Motor develops a constant 30 N·m.
- a = 1500/500 = 3; J_eq = 0.5 + 6/(0.9 × 9) = 0.5 + 0.741 = 1.241 kg·m².
- T_L,eq = 40/(0.9 × 3) = 14.81 N·m; accelerating torque = 30 − 14.81 = 15.19 N·m.
- dω/dt = 15.19/1.241 = 12.24 rad/s²; ω_final = 2π × 1500/60 = 157.1 rad/s.
- Starting time = 157.1/12.24 = 12.8 s.
Example 2 - Rating from a duty cycle. Cycle at 1450 rpm: 60 N·m for 10 s, 30 N·m for 20 s, no load for 30 s (motor keeps running).
- T_rms = √[(60²×10 + 30²×20)/60] = √[(36 000 + 18 000)/60] = √900 = 30 N·m.
- P = 30 × 2π × 1450/60 = 30 × 151.8 = 4 555 W → select the next standard frame, 5.5 kW.
- Peak/rms = 60/30 = 2.0, within a typical 2–2.5 pu pull-out; a VFD must be set to at least 200 % current limit. (If the motor were switched off instead of idling, derate further for the lost cooling.)
Example 3 - DC drive: chopper vs rheostat. 220 V separately excited motor, R_a = 0.5 Ω, draws 20 A at 1000 rpm.
- E = 220 − 20 × 0.5 = 210 V; ω = 104.7 rad/s → Kφ = 210/104.7 = 2.005 V·s/rad; T = 2.005 × 20 = 40.1 N·m.
- To run at 500 rpm with the same torque (same 20 A): E = 2.005 × 52.36 = 105 V → V = 115 V from the converter. Input 115 × 20 = 2 300 W, armature loss 200 W, output 2 100 W → 91.3 %.
- Same duty by armature resistance at 220 V: 220 − 105 = 115 V = 20(0.5 + R) → R = 5.25 Ω, burning 20² × 5.25 = 2 100 W. Input 4 400 W, output 2 100 W → 47.7 %.
Example 4 - V/f control. 415 V, 50 Hz, 4-pole, 7.5 kW, 1440 rpm induction motor run at 30 Hz with constant V/f at rated torque.
- Rated: N_s = 1500 rpm, s = 60/1500 = 0.04; T_rated = 9550 × 7.5/1440 = 49.7 N·m.
- At 30 Hz: V = 415 × 30/50 = 249 V; N_s = 120 × 30/4 = 900 rpm. For the same torque the slip speed stays 60 rpm → N = 840 rpm, s = 60/900 = 6.67 %.
- Shaft power = 49.7 × 2π × 840/60 = 49.7 × 87.97 = 4.37 kW — torque unchanged, power scaled with speed.
Example 5 - Short-time rating. A 10 kW continuously rated motor has τ = 60 min. Permissible 20-minute rating:
- e−20/60 = 0.7165 → 1/(1 − 0.7165) = 3.528 → √3.528 = 1.878 → ≈ 18.8 kW for 20 min, provided pull-out torque, commutation and converter current limits allow it.
| Feature | DC drive | IM + V/f VFD | IM vector drive | PMSM/BLDC drive |
|---|---|---|---|---|
| Speed accuracy | 0.1–1 % | 2–3 % | 0.01–0.1 % | 0.01 % |
| Torque at zero speed | Yes | Limited (boost only) | Yes | Yes |
| Maintenance | Brushes, commutator | Low | Low | Low |
| Cost per kW | High (motor) | Lowest | Medium | Highest (magnets) |
| Typical use | Old mills, cranes | Pumps, fans, conveyors | Mills, extruders, lifts | EVs, servos, BLDC fans |
| Braking method | Energy | Control quality | Typical use |
|---|---|---|---|
| Regenerative | Returned to supply | Smooth, continuous | Lifts, cranes, downhill conveyors |
| Dynamic (resistor) | Wasted as heat | Good, fades near zero speed | VFD braking chopper, EV friction blending |
| Plugging | Wasted + drawn from supply | Harsh, very lossy | Fast reversal of mill/saw drives |
| DC injection | Wasted in rotor | Stops but cannot hold | Fans, spindles, pumps |
Where it is used
- Process industry: VFD-fed pumps and fans in refineries, fertiliser and cement plants (IOCL, RIL, UltraTech, Ambuja), ID/FD fan drives in NTPC thermal stations — most PAT-scheme energy savings come from these retrofits.
- Metals and paper: multi-motor coordinated drives for rolling mills, coilers and paper machines at Tata Steel, JSW and SAIL — large DC and vector-controlled AC drives with regenerative front ends.
- Buildings and infrastructure: lift and escalator drives (Kone, Otis, Schindler India), closed-loop gearless PMSM machines with regeneration; water-supply pumping stations for municipal corporations.
- Mobility and appliances: BLDC/PMSM traction drives in e-two-wheelers and e-rickshaws (Ather, Ola, Hero Electric), BLDC ceiling fans and pumps under BEE star labelling.
- Machine tools and automation: servo drives in CNC machines and robots (Fanuc, Siemens, Delta, Mitsubishi) — roles such as drive application engineer, commissioning engineer, PLC-drive integrator.
- Manufacturing and OEM roles: drive design and test at ABB, Siemens, Schneider, Danfoss, Amtech, Fuji; motor design at Crompton, Kirloskar, Bharat Bijlee, Lucas-TVS; plant electrical maintenance everywhere.
Interview questions
- Q: What are the blocks of an electric drive? A: Power source, power-electronic converter, motor, mechanical transmission and load, with sensors and a controller closing current, speed and position loops.
- Q: What does operation in the fourth quadrant mean? A: Reverse speed with forward (positive) torque — the machine brakes while moving in reverse, as when a hoist lowers a load and energy flows from load to drive.
- Q: How do you refer a load's inertia to the motor shaft? A: Divide by the square of the gear ratio (and by the transmission efficiency): J_eq = J_m + J_L/(η a²).
- Q: Why is V/f kept constant in induction motor drives? A: To hold the air-gap flux constant so that the maximum torque capability stays constant; flux ∝ V/f from E ≈ 4.44 fφN.
- Q: Why is voltage boost needed at low frequency? A: At low f the stator resistance drop is a large part of the applied voltage, so flux would collapse; extra voltage compensates I·R₁.
- Q: What is the difference between scalar and vector control? A: Scalar (V/f) controls only the magnitude of voltage and frequency, so torque response is slow; vector control resolves current into flux and torque components in a rotating frame, giving decoupled, fast torque control and full torque at standstill.
- Q: Does rotor-resistance insertion change the maximum torque of an induction motor? A: No — T_max is independent of rotor resistance; only the slip at which it occurs increases.
- Q: Why is slip-power recovery more efficient than rotor-resistance control? A: Rotor-resistance control burns s × P_airgap as heat; Kramer/Scherbius schemes return that slip power to the supply through a converter.
- Q: A conveyor and a centrifugal fan both need speed reduction. Which saves more energy, and why? A: The fan — its power varies as N³, whereas the conveyor is constant-torque, so its power falls only linearly with speed.
- Q: On what basis is a motor rated for a fluctuating load? A: On rms current/torque for heating, with separate checks on peak torque against pull-out capability and on the heating time constant for the duty cycle.
- Q: Why does a self-cooled motor need derating on a VFD at low speed? A: Its shaft-mounted fan slows with the motor, so cooling drops faster than the losses; forced-ventilation or an inverter-duty motor is needed.
- Q: Why do long motor cables cause insulation failure on VFDs? A: Fast PWM edges reflect at the motor terminals and can nearly double the voltage, stressing the first turns; dU/dt or sine-wave output filters are used.
- Q: What does Safe Torque Off do? A: It is a certified functional-safety input that removes gate drive so the motor cannot produce torque, without needing a contactor — it is not an isolation or holding device.
Common mistakes
- Forgetting the 1/a² (and η) when referring load inertia, or dividing torque by a² instead of a.
- Mixing up the quadrants — labelling a lowering hoist as motoring because the motor is still "driving" the load.
- Treating V/f control as holding speed constant: slip grows with load unless slip compensation or closed-loop control is used.
- Claiming rotor-resistance insertion raises maximum torque; it only shifts the slip at which T_max occurs.
- Sizing a motor on average power instead of rms torque, and ignoring the peak-torque and converter current-limit check.
- Using rpm in P = Tω, or forgetting the 2π/60 (use T = 9550 P(kW)/N(rpm) as a cross-check).
- Specifying regenerative braking on a plain diode-rectifier VFD — without a braking chopper or an active front end the DC bus simply trips on over-voltage.
- Ignoring low-speed cooling derating, harmonics limits and cable-length limits during commissioning — the three most common field failures.
Related topics
Rectifiers and converters · Inverters · AC voltage controllers and cycloconverters · Electric traction · Electric vehicles basics · Power semiconductor devices