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Coupling-aware efficiency modeling of outphasing power amplifiers for wearable wireless power transfer
Nizar Brahim1, Fawwaz Hazzazi2, Giuseppina Monti3
1Department of physics, UR-LAPER, University of Tunis El Manar, Tunis, 1068, Tunisia. nizar.ibrahim@fst.utm.tn.
Scientific Reports
|June 3, 2026
Summary
This study introduces a framework to optimize efficiency in wearable wireless power transfer (WPT) systems by analyzing power amplifier (PA) and combiner interactions. Chireix combiners offer higher efficiency at moderate coupling, while Wilkinson combiners provide better robustness under varying conditions.
Area of Science:
- Electrical Engineering
- Wireless Communication Systems
- Power Electronics
Background:
- Outphasing power amplifiers (PAs) are crucial for efficient wireless power transfer (WPT) due to their constant-envelope operation.
- Wearable WPT efficiency is significantly impacted by the interplay between power combiners and inductive link impedance, which is coupling-dependent.
- Existing models lack a systematic characterization of these combined effects.
Purpose of the Study:
- To develop a system-level analytical framework for modeling outphasing PAs, Wilkinson and Chireix combiners, and coupling-dependent WPT loads.
- To determine optimal operating conditions for wearable WPT systems as a function of the coupling coefficient.
- To provide practical design insights for selecting appropriate combiner architectures.
Main Methods:
- A novel system-level analytical framework was developed.
- The framework jointly models outphasing PA operation, Wilkinson and Chireix combiner behavior, and WPT load variations.
- Circuit-level harmonic balance simulations were used to validate the analytical trends.
Main Results:
- For Wilkinson combiners, optimal outphasing is at 0°, with efficiency limited by link coupling.
- For Chireix combiners, peak efficiency occurs at the compensation angle (θc), modulated by coupling.
- Chireix combiners (θc=60°-70°) can outperform Wilkinson by 8% at moderate coupling (k≈0.2), while Wilkinson is more robust for weak/varying coupling (k<0.15).
Conclusions:
- The proposed framework enables explicit determination of optimal operating conditions for wearable WPT systems.
- Chireix and Wilkinson combiners exhibit distinct performance characteristics influenced by coupling conditions.
- Actionable guidelines are provided for early-stage design and architecture selection without complex simulations.
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