PWM

Articles, guides, and products tagged "PWM" — a combined view of every catalogue resource on this topic.

User guide

Anti-lock braking system (ABS) engineering for e-scooters: longitudinal dynamics, slip ratio λ, modulator architecture, wheel-speed sensors, ECU control loop, and why 8-10-inch wheels require different calibration than motorcycle ABS (Bosch eBike ABS 2018 → Blubrake → Niu KQi 4 Pro 2023 → NAMI Burn-E 2 2024)

Anti-lock braking system (ABS) is a closed-loop service that keeps wheel slip λ = (v − ωR)/v within the peak-friction window (10-20% per Pacejka «Tire and Vehicle Dynamics» 3rd ed. 2012, Butterworth-Heinemann), instead of letting it slide into 100% lockup. The canonical [«Brake system engineering»](@/guide/brake-system-engineering.md) article covers hydraulics, friction materials, and DOT fluids; §8 there mentions eABS in three paragraphs — this deep-dive expands that section into a full 11-section discipline. Why e-scooter ABS is harder than motorcycle: a wheel of radius R=0.1 m vs R=0.3 m for a motorcycle has roughly `(0.1/0.3)² ≈ 11×` less polar inertia `I_w = ½·m·R²`, which means **lockup in <100 ms** from peak-μ instead of ~300 ms on a motorcycle. The modulator needs a higher ECU sample rate and a faster actuator (solenoid valve dump time <15 ms). A wheel-speed sensor (tone ring + Hall-effect) with the same pole count delivers 3× lower absolute frequency at the same linear speed — resolution at 5 km/h requires proportionally more teeth. Control-loop architecture: slip-ratio estimator with reference vehicle speed via select-high (because an e-scooter has no GPS or auxiliary sensor), target slip 10-20% through a PI loop with anti-windup. Industrial implementations: Bosch eBike ABS (launched 2018-08-30, Magura-supplied hydraulic, initially Performance Line CX, now extended across most Bosch motors); Blubrake (Italian startup since 2017, single-channel front-only); Continental Engineering Services CSC-100; **Niu KQi 4 Pro 2023 — the first mass-market e-scooter with factory-fitted ABS** (Bosch supplier, front-wheel single-channel); NAMI Burn-E 2 2024 with ABS option. Test methodology — ECE R78 (UN ECE motorcycle Type Approval), FMVSS 122 (49 CFR 571.122 USA motorcycle), EN 15194 (e-bike type approval, ABS not required), EN 17128 (PLEV — also not required). EU Regulation 168/2013 for the L3e-A1+ motorcycle category >125 cc requires ABS, but PLEV / e-scooter fall outside that category. Cost-benefit: BOM adds 200-400 USD to scooter MSRP. Stopping-distance improvement per Bosch field data: dry tarmac 5-12%, wet tarmac 15-30%. Sources ENG-first (0 RU): Bosch eBike Systems press release 2018-08-30 + product pages; Blubrake whitepapers; Continental Engineering Services portfolio; Niu KQi 4 Pro 2023 launch coverage (Electrek, The Verge); UNECE R78; 49 CFR 571.122; EN 15194; EN 17128; Pacejka «Tire and Vehicle Dynamics» 3rd ed. 2012; Limebeer & Sharp «Bicycles, motorcycles, and models» IEEE Control Systems Magazine 26(5):34-61 (2006); Cossalter «Motorcycle Dynamics» 2nd ed. 2006.

15 min read

User guide

E-scooter EMC/EMI engineering: EN 17128:2020 § 11 EMC requirements, CISPR 14-1:2020 emission + CISPR 14-2:2020 immunity for household appliances and battery chargers, IEC 61000-3-2:2018 harmonic current limits (Class A/B/C/D, equipment ≤16 A per phase), IEC 61000-3-3:2013 voltage fluctuation and flicker, IEC 61000-4-2:2008 ESD ±8 kV contact / ±15 kV air (Level 4), IEC 61000-4-3:2020 radiated immunity 3-10 V/m 80 MHz-6 GHz, IEC 61000-4-4:2012 EFT/burst ±2 kV power / ±1 kV signal, IEC 61000-4-5:2014 surge 1.2/50 μs voltage + 8/20 μs current combination wave, IEC 61000-4-6:2013 conducted RF immunity 3 V_rms 150 kHz-80 MHz, FCC Part 15 Subpart B Class B 100 μV/m @ 30-88 MHz / 150 μV/m @ 88-216 MHz quasi-peak (unintentional radiator), ETSI EN 301 489-17 V3.3.1:2024 BLE/Wi-Fi 2.4 GHz + 5 GHz + 6 GHz WLAN, motor controller PWM 8-20 kHz fundamental + 100s-MHz radiated harmonics from dV/dt 5-15 kV/μs MOSFET switching edges, common-mode current on phase wires acting as loop antenna, SMPS charger fly-back 50-200 kHz switching, Würth 742 711 21S / Fair-Rite Mix 31/43/44/77 ferrite-bead selection per frequency band, RC snubber 10 Ω + 1 nF per half-bridge, common-mode choke 3×2 mH soft-ferrite ring + 3×33 nF Y-cap, X2 (0.1-1 μF mains-to-mains) + Y1/Y2 (1-10 nF rail-to-chassis) safety-capacitor topology, ground-plane PCB return-path control, λ/20 aperture rule for shielded enclosure (≥20 dB attenuation), conductive EMI gasket (Chomerics ARclad / Würth WE-LT), AM-radio sniff DIY test 540-1620 kHz @ 9 m, smartphone BLE/Wi-Fi throughput diagnostic, RED 2014/53/EU mandatory presumption-of-conformity for Bluetooth/Wi-Fi radio modules, EMC Directive 2014/30/EU mandatory presumption-of-conformity for PLEV without radio

Engineering deep-dive into electromagnetic compatibility (EMC) and radio-frequency interference (EMI) on an e-scooter as the third cross-cutting infrastructure axis — parallel to [bolted-joint engineering as joining axis](@/guide/fastener-and-bolted-joint-engineering.md) and [thermal management as heat-dissipation axis](@/guide/thermal-management-engineering.md). Covers: 8-row standards matrix (EN 17128:2020 PLEV umbrella, CISPR 14-1:2020 emission, CISPR 14-2:2020 immunity, IEC 61000-3-2:2018 harmonics, IEC 61000-3-3:2013 flicker, IEC 61000-4-2:2008 ESD, IEC 61000-4-5:2014 surge, ETSI EN 301 489-17 V3.3.1:2024 BLE/Wi-Fi); 5-row interference-source matrix (motor controller PWM / SMPS charger / BLE radio / digital display+throttle / power-cable CM antenna); 6-row mitigation matrix (common-mode choke / RC snubber / clip-on ferrite bead / X+Y safety capacitor / PCB ground-plane + return-path / shielded enclosure + EMI gasket); 6-row test-method matrix (ESD ±8 kV contact / EFT ±2 kV / surge ±2 kV CM / radiated immunity 3-10 V/m / conducted immunity 3 V / harmonic ≤16 A); 6-row failure-diagnostic matrix (BLE drop / throttle creep / charger ground-fault / headlight flicker / AM-radio buzz / brake-light glitch); 8-step DIY EMI check (AM-radio sniff 540-1620 kHz @ 9 m, BLE/Wi-Fi throughput, ESD walk-test, visual ferrite/ground-strap inspection, chassis-to-DC- voltage measurement, surge-protected vs unprotected outlet comparison); 6-step DIY remediation (clip-on Würth/Fair-Rite ferrite, ground-strap tightening, shield-braid repair, antenna re-routing, IEC-marked charger replacement); RED 2014/53/EU + EMC Directive 2014/30/EU CE-marking presumption-of-conformity context; 15 numbered sections.

16 min read

User guide

Smooth acceleration and throttle control on an e-scooter: longitudinal weight-transfer physics, jerk-limited ramp, controller soft-start, slippery-surface launch, wheelie risk on a high-CoG deck, and throttle calibration

Acceleration is the longitudinal mirror of braking: the same weight-transfer, but with the sign flipped. Under a hard throttle opening, the motor torque at the rear wheel generates an equal reactive torque on the frame, which pitches the scooter nose-up; the rider's body inertia simultaneously moves rearward. The front wheel unloads — in the limit, it lifts off (wheelie); in the typical case, it loses lateral grip on a corner or a small bump. On an e-scooter, the throttle is not a 'gas pedal' in the traditional sense: between your finger and the stator winding sit a Hall sensor (0.84–4.2 V), a controller with PWM modulation and its own soft-start ramp, the BMS, and finally the motor with MOSFET switches. Each layer adds its own latency (5–50 ms), its own noise floor, and its own limit: an over-driven MOSFET → 150 °C cutoff, a displaced throttle magnet → ghost-throttle in the cold, an overly aggressive ramp in sport mode → a wheelie on a 30 % gradient. Jerk — the second derivative of velocity, m/s³ — has a medical comfort threshold for car passengers of ≈ 0.3–0.9 m/s³ ([ScienceDirect — Standards for passenger comfort in automated vehicles, 2022](https://www.sciencedirect.com/science/article/pii/S0003687022002046)), but on a high-CoG, short-wheelbase e-scooter, even 1.5 m/s³ means a sharp deck pitch and finger-strain on the throttle. CPSC counts 50 000 ED visits in 2022 alone, 94 % of which were solo-falls with no other vehicle involved ([CPSC — E-Scooter and E-Bike Injuries Soar, 2024](https://www.cpsc.gov/Newsroom/News-Releases/2024/E-Scooter-and-E-Bike-Injuries-Soar-2022-Injuries-Increased-Nearly-21)); among typical mechanisms — stuck throttle (Apollo recall 2025) and uncontrolled acceleration on a slippery surface. This is a drill-oriented guide: physics, weight redistribution, jerk-limited ramp, soft-start vs sport mode, slippery launch, wheelie risk, ghost-throttle troubleshooting, a daily launch protocol with a 2–3 mph kick-start, and a 30-min weekly drill in an empty lot. ENG-first sources: MSF Basic RiderCourse, Wikipedia (Jerk physics, Wheelie, Weight transfer, Bicycle-and-motorcycle dynamics), Inside Motorcycles / Data for Motorcycles on the friction circle, Lime / Bird operator manuals, NAVEE on TCS, Apollo, GOTRAX, Levy Electric throttle guides, marsantsx on controller thermals, CPSC injury data.

13 min read