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UPS and SMPS design

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

In short

A switched-mode power supply (SMPS) converts mains or DC input into regulated DC by chopping it at tens or hundreds of kilohertz through a transistor, a small ferrite transformer or inductor and a rectifier-filter, with a feedback loop holding the output steady. An uninterruptible power supply (UPS) adds energy storage — usually a battery bank — plus a rectifier/charger, an inverter and a bypass path, so the load never sees an interruption. Between them they power every phone charger, laptop adapter, LED driver, server, ATM, telecom BTS, hospital equipment and control panel in the country. The topic is examined in Power Electronics, Industrial Electronics and Power Quality papers, appears in GATE EE/EC (converter duty-cycle and ripple problems) and is a staple of interviews at Delta, Schneider/APC, Eaton, Vertiv, Luminous, Microtek, Su-Kam, Exide, Amara Raja, Bharat Electronics, Tata Power, Honeywell and telecom/EMS firms.

Explained

Why switch-mode: linear versus switching supplies

Non-isolated converter topologies

Isolated topologies and their selection

Control, feedback, protection and EMI

UPS: classification and operation

UPS design elements and sizing

Key points

Formulas and examples

Buck: Vo = D·Vin | Boost: Vo = Vin/(1 − D) | Buck-boost: |Vo| = Vin·D/(1 − D) (D = duty cycle, dimensionless)
Flyback (CCM): Vo = (Ns/Np)·Vin·D/(1 − D) | Forward & half-bridge: Vo = (Ns/Np)·D·Vin | Push-pull & full-bridge: Vo = 2·(Ns/Np)·D·Vin
Inductor ripple (buck): ΔIL = (Vin − Vo)·D/(L·f) [A; L in H, f in Hz]
Output ripple (buck): ΔVo = ΔIL/(8·f·C) + ΔIL·ESR [V; C in F, ESR in Ω]
Boundary inductance (buck): Lcrit = (1 − D)·R/(2·f) [H; R = Vo/Io]
Flyback primary (boundary mode): Lp = (Vin,min·Dmax)²/(2·Pin·f) and Ipk = Vin,min·Dmax/(Lp·f)
Turns from flux: Np = Lp·Ipk/(Ac·Bmax) [Ac = core area m², Bmax in tesla] | Gap: lg ≈ μ0·Np²·Ac/Lp, μ0 = 4π×10⁻⁷ H/m
Transformer EMF: Vrms = 4.44·Bm·Ac·N·f (sine); Vpk = 4·Bm·Ac·N·f (square wave)
Area product Ap = Aw·Ac = (Pt×10⁴)/(Kf·Ku·J·Bm·f) cm⁴ (Pt total apparent power W, Kf = 4 square/4.44 sine, Ku ≈ 0.3, J in A/cm²) — the constant depends on the unit convention used, so state yours
Switch losses: Pcond = Irms²·Rds(on); Psw ≈ ½·Vds·Id·(tr + tf)·f; Pgate = Qg·Vgs·f
Hold-up capacitor: C = 2·Po·th/(η·(V1² − V2²)) [V1 = voltage at mains loss, V2 = minimum usable bus voltage]
UPS: kW = kVA × PF; Crest factor = Ipk/Irms; Input current ≈ (Po/η + Pcharger)/(Vin·PFin)
Battery bank: Ah(required) = [Pdc × t / Vavg] × (ageing factor) / (capacity rate factor); Pdc = Pload/ηinv; Vavg = cells × avg V/cell

Example 1 — Buck converter (24 V → 5 V, 3 A, 200 kHz, L = 33 µH, C = 100 µF, ESR = 30 mΩ)

Example 2 — 60 W flyback for 230 V mains (12 V, 5 A, 65 kHz, boundary mode)

Example 3 — Hold-up capacitor A 300 W supply must ride through 20 ms of mains loss. Bus falls from 325 V (peak of 230 V) to a usable minimum of 240 V; η = 0.90.

Example 4 — UPS battery bank (5 kVA, PF 0.8, 30 minutes autonomy)

  1. Load = 5 × 0.8 = 4 kW; inverter efficiency 0.90 → DC power = 4000/0.90 = 4,444 W.
  2. Bank: 16 blocks × 12 V = 192 V nominal; average discharge voltage ≈ 1.95 V/cell × 6 × 16 = 187 V; end-of-discharge = 16 × 10.5 = 168 V (inverter must hold up to this).
  3. Current = 4,444/187 = 23.8 A; charge actually drawn = 23.8 × 0.5 h = 11.9 Ah.
  4. Capacity-rate factor at the 30-minute rate ≈ 0.5 → 11.9/0.5 = 23.8 Ah; ageing factor 1.25 → ≈ 30 Ah required.
  5. Select 16 × 12 V / 42 Ah VRLA (the next standard size above the requirement; a 26 Ah block falls short of the 30 Ah needed). Charger at C/10 ≈ 4.2 A × 192 V ≈ 0.8 kW, which must be added to the UPS input rating.

Example 5 — Loss budget of the Example 1 buck switch (Rds(on) 25 mΩ hot, tr + tf = 40 ns, Qg = 15 nC at 10 V)

TopologySwitchesPower rangeDevice voltage stressTypical use
Flyback1up to ~150 WVin + n(Vo+Vf) + spikeAdapters, standby rails
Forward (2-switch)2100-300 WVinIndustrial 24 V supplies
Push-pull2100-500 W2·VinLow-voltage DC inputs
Half-bridge2200-1,000 WVinATX, UPS chargers
Full-bridge / LLC4>500 WVinServers, telecom, welding
FeatureOffline (VFD)Line-interactive (VI)Online (VFI)
Transfer time2-10 ms2-4 msZero
Voltage regulationNoneAVR tapsFull, continuous
Frequency regulationNoNoYes
Efficiency95-98%95-98%92-96%
Cost and typical useLowest; PCs, homeMedium; small serversHighest; data centres, medical, process

Where it is used

Interview questions

Common mistakes

Related topics

Power semiconductor devices · Rectifiers and converters · Inverters · Electric drives · Solar PV systems and MPPT · Electric vehicles basics

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