Organizations: ABB Corporate Research Center, Väster˚as, Sweden · Dept. of Electrical, Computer and Biomedical Engineering, University of Pavia, Pavia, Italy
A staged physics-informed neural network (PINN) is proposed for identifying the inductance, capacitance and parasitic resistances of a DC buck converter from time-domain data. Gradients are released in the order of L to C to rL to rC, a sequence derived from sensitivity analysis. The five-stage schedule recovers L and C to within 5% and the series ESR to 10%, while a three-stage variant attains the same accuracy 11% faster. An 84 factorial sweep confirms that the trained PINN remains accurate for simultaneous 8% perturbations of all four components, achieving a waveform RMSE of 2.6 x 10-2 over 5 ms-an order-of-magnitude better than a simultaneous-training baseline.
Figures & tables
Fig. 1 : Buck converter with series inductor ESR (rL) , switch on-resistance (rDS,on) ,and capacitor leakage (rC) explicitly modeled
Fig. 2 : PINN modeling workflow.
Scenario
Stages of learning
Parasitic inductor resistance ( rL only)
2
Parasitic capacitor resistance ( rC only)
2
Both rL and rC
3
5 *
TABLE I : Sequential-training stages required for each identification scenario
Component Parameter
True Values
Inductor, L
2 mH
Capacitor, C
5 μF
Parasitic Inductor Resistance, rL
0.5 Ω
Parasitic Capacitor Resistance, rC
30 kΩ
TABLE II : Buck Converter Parameter True Values
Setting
Value / Rationale
Optimizer
Adam [β1=0.9,β2=0.999]
Learning rate
1×10−3 during data pre-fit; 1×10−4 for every parameter-release stage
Batch size
Full record (5 001 time-samples, 5 ms, Δt=1\upmu s)
Gradient clip
∥∇θ∥2≤1.0 to avoid spikes when a parameter is unfrozen
Input scaling
z -score on iL , vO , and duty ratio S (mean 0, std 1)
Target scaling
Same z -score applied to i˙L and v˙O ; data-loss weights wi=wv=1
TABLE III : Common hyper-parameters used in both training schedules
Fig. 3 : Stage 1 - True Data vs NN Simulation Plots
Fig. 4 : Stage 1 - True Data vs NN Simulation Plots
Offset (%)
L ( mH )
C ( μF )
rL ( Ω )
rC ( kΩ )
–8
1.84
4.60
0.460
27.6
–6
1.88
4.70
0.470
28.2
–4
1.92
4.80
0.480
28.8
–2
1.96
4.90
0.490
29.4
+2
2.04
5.10
0.510
30.6
+4
2.08
5.20
0.520
31.2
TABLE IV : Parameter-sweep grid used for model-robustness analysis
Figure 9
Fig. 7 : RMSE Plots for Parameter Sweep Grid
Table 11
Fig. 8 : PINN (red) versus truth (blue) for the three best parameter sets.
Always-on converter health monitoring demands sub-mW edge inference, a regime inaccessible to GPU-based physics-informed neural networks. This work separates spiking temporal processing from physics enforcement: a three-layer leaky integrate-and-fire SNN estimates passive component parameters while a differentiable ODE solver provides physics-consistent training by decoupling the ODE physics loss from the unrolled spiking loop. On an EMI-corrupted synchronous buck converter benchmark, the SNN reduces lumped resistance error from 25.8% to 10.2% versus a feedforward baseline, within the ±10% manufacturing tolerance of passive components, at a projected ∼270× energy reduction on neuromorphic hardware. Persistent membrane states further enable degradation tracking and event-driven fault detection via a +5.5 percentage-point spike-rate jump at abrupt faults. With 93% spike sparsity, the architecture is suited for always-on deployment on Intel Loihi 2 or BrainChip Akida.
Hyeongmeen Baik, Hamed Poursiami, Maryam Parsa +1
University of Wisconsin–Madison Madison, Wisconsin, USA · George Mason University Fairfax, Virginia, USA
Accurate dynamics modeling of Brushless DC (BLDC) motors is fundamental to high-performance robotic joint control. This paper presents a Physics-Informed Neural Network (PINN) with a deep residual (ResNet) backbone that learns a continuous-time surrogate of the full six-state BLDC motor dynamics. Given simulation time, applied three-phase voltages, and excitation parameters as inputs, the network directly predicts all motor state variables -- rotor angle, angular velocity, three-phase currents, and winding temperature -- while simultaneously satisfying the governing electromechanical and thermal ODEs through a composite physics-data loss. A curriculum scheduling strategy gradually activates the physics penalty to prevent premature convergence. Training runs are completed in under two minutes on a standard CPU. Crucially, once trained, PINN inference achieves latencies of 0.1--22, mu s per query, up to 118x faster than conventional ODE solvers, making it suitable for real-time observer and control applications.
Haitham El-Hussieny
Department of Mechatronics and Robotics Engineering, Egypt-Japan University of Science and Technology (E-JUST), New Burg El-Arab City, Alexandria, Egypt
Physics-informed graph neural networks (PIGNNs) have emerged as fast AC power-flow solvers that can replace the classic NewtonRaphson (NR) solvers, especially when thousands of scenarios must be evaluated. However, current PIGNNs still need accuracy improvements at parity speed; in particular, the soft constraint on the physics loss is inoperative at inference, which can deter operational adoption. We address this with PIGNN-Attn-LS, combining an edge-aware attention mechanism that explicitly encodes line physics via per-edge biases to form a fully differentiable knownoperator layer inside the computation graph, with a backtracking line-search-based globalized correction operator that restores an operative decrease criterion at inference. Training and testing use a realistic High-/Medium-Voltage scenario generator, with NR used only to construct reference states. On held-out HV cases consisting of 4-32-bus grids, PIGNN-Attn-LS achieves a test RMSE of 0.00033 p.u. in voltage and 0.08 deg in angle, outperforming the PIGNN-MLP baseline by 99.5% and 87.1%, respectively. With streaming micro-batches, it delivers 2-5x faster batched inference than NR on 4-1024-bus grids.
Changhun Kim, Timon Conrad, Redwanul Karim +6
Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany · Institute of Electrical Energy Systems, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany