Electromagnetic-Thermal Analysis of Wireless Charging

Category: Coupled Analysis – Electromagnetic-Thermal | Revised 2026-10-01

Theory: where losses go and the phone's heat balance

Overview

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What should I pin down first when thinking about wireless-charging heat?

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Where losses arise and which side they accumulate on. Between wall and battery there are several stages: transmitter inverter, transmitter coil and inter-coil coupling, receiver coil and rectifier, and charger IC. Each stage's loss becomes heat on the spot, but heat in the pad and heat in the phone mean different things. Heat in the phone warms the battery, which ages faster when hot, so rising phone temperature forces charging power down. Hence the coupling: electromagnetic analysis gives coil and component losses, which feed a thermal analysis of phone and battery temperature.

Efficiency chain and phone heat

$$ P_{wall} = \frac{P_{bat}}{\eta_{chg}\,\eta_{rx}\,\eta_{cp}\,\eta_{inv}},\qquad Q_{phone} = P_{bat}\!\left(\frac{1}{\eta_{chg}\eta_{rx}} - 1\right) + I_{bat}^2 R_{bat} $$

Here battery power P_bat = 10 W (3.85 V, 2.60 A), charger IC efficiency 0.92, receiver coil and rectifier 0.93, coupling and transmitter coil 0.90, inverter 0.95 and battery internal resistance 0.06 Ω (all illustrative).

Phone temperature

$$ C\,\frac{d\Delta T}{dt} = Q_{phone} - hA\,\Delta T,\qquad \Delta T_\infty = \frac{Q_{phone}}{hA},\qquad \tau = \frac{C}{hA} $$

A is top-face area (150×70 mm), h combined convection and radiation coefficient (10 W/m²K) and C phone heat capacity (200 g × 900 J/kgK). Heat loss through the back into the pad is neglected because the pad warms too.

Coffee Break Trivia

A common standard for drop-and-charge

Sending power by electromagnetic induction dates to the 19th century, but drop-and-charge smartphones arrived after an industry group released the common Qi standard in 2010. Being able to use the same pad across brands drove adoption. Deliverable power was raised step by step, and at the same time limiting heat in the phone became a major design challenge.

Worked examples

Example 1: loss breakdown for 10 W into the battery

ItemAlignedMisalignedWired
Wall power13.67 W16.40 W—
Overall efficiency73%61%—
Charger IC loss0.87 W0.87 W0.87 W
Receiver coil and rectifier loss0.82 W0.82 W + 1.30 W—
Heat inside battery0.40 W0.40 W0.40 W
Phone heat2.09 W3.39 W1.27 W
Pad heat1.98 W3.42 W—
Phone temperature rise19.9 K32.3 K12.1 K

For misalignment, transmitter-to-receiver efficiency drops from 0.90 to 0.75, with half the extra loss assumed to arise in the phone's receiver coil.

Example 2: warm-up speed and allowable power

ItemValue
Time constant1,714 s (about 29 min)
Time to 90% of final riseabout 66 min
Battery power for a 15 K rise7.9 W (phone heat 1.57 W)
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The breakdown shows the charger IC losing more than the receiver coil. So analysing the coil alone isn't enough?

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Exactly — heat is set by the overall heat balance. Coil field analysis is essential for losses under misalignment or with foreign objects, but phone temperature depends on heat from coil, rectifier, charger IC and battery together, and how it spreads through the phone and escapes. Clustered heat sources also make local temperatures exceed the 20 K average. Batteries are especially temperature-sensitive: long periods hot and near full charge accelerate ageing. Real designs therefore add heat-spreading sheets between receiver coil and battery or lower power in the later part of charging. Analysis passes the field-derived loss distribution to a thermal model and steps through time with component temperatures and charging control together.

Modelling workflow

  1. Solve fields for coils, nearby metal and ferrite sheets to get losses versus position.
  2. Express rectifier, charger IC and battery losses as functions of power and temperature.
  3. Solve component temperatures over time with thermal models of phone and pad.
  4. Include control that lowers charging power with temperature.
  5. Compare charge time and peak temperature across layout and cooling options.
Coffee Break Trivia

“Charging that slowed with a case on”

Users of one model reported that charging with a thick case took much longer. Analysis showed the case increased coil separation, weakening coupling and raising losses, while also insulating the phone so heat escaped less easily. Together these made temperature hit its limit sooner, cutting charging power. Redesigning the receiver coil to improve coupling at larger separation and enlarging the heat-spreading sheet reduced the extra charging time with a case on.

Common mistakes

Mistakes and fixes

MistakeEffectFix
Coil loss onlyPhone temperature underestimatedInclude every stage
Aligned case onlyWorst-case heat missedSweep offset and gap
Steady state onlyMid-charge throttling missedSolve in time
Over-crediting back-face coolingTemperature underestimatedSolve pad temperature too
Ignoring cases and placementSlow charging in real useCover realistic conditions
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Structural AnalysisElectromagnetic AnalysisThermal Analysis
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