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501 - Loss Calculation

Semiconductor conduction and switching loss modeling.

Overview

Accurate loss calculation is essential for: - Thermal design and heatsink sizing - Efficiency optimization - Component selection - Reliability prediction

Loss Components

Total Semiconductor Losses

\[P_{total} = P_{cond} + P_{sw}\]

Conduction Losses

MOSFET: $\(P_{cond,MOS} = I_{rms}^2 \cdot R_{DS(on)}\)$

IGBT: $\(P_{cond,IGBT} = V_{CE(sat)} \cdot I_{avg} + r_{CE} \cdot I_{rms}^2\)$

Diode: $\(P_{cond,D} = V_F \cdot I_{avg} + r_D \cdot I_{rms}^2\)$

Switching Losses

\[P_{sw} = (E_{on} + E_{off}) \cdot f_{sw}\]

Where switching energies depend on: - Current at switching instant - Voltage being switched - Temperature (increases with temp)

Temperature Dependence

RDS(on) vs Temperature

\[R_{DS(on)}(T) = R_{DS(on)}(25°C) \cdot \left[1 + \alpha(T - 25)\right]\]

Typical α ≈ 0.004 to 0.006 /°C (doubles at 150°C)

Switching Energy vs Temperature

\[E_{sw}(T) = E_{sw}(25°C) \cdot \left[1 + \beta(T - 25)\right]\]

GeckoCIRCUITS Loss Models

Setting Up Loss Parameters

  1. Open semiconductor properties
  2. Enable thermal model
  3. Enter datasheet values:
  4. RDS(on) or VCE(sat)
  5. Eon, Eoff at reference conditions
  6. Temperature coefficients

Data Entry Table

Parameter MOSFET IGBT Diode
V_on - VCE(sat) VF
R_on RDS(on) rCE rD
E_on Eon Eon Qrr×V
E_off Eoff Eoff -
E_rr - - Err

Example: Buck Converter Losses

High-Side MOSFET

Conduction: $\(P_{cond,HS} = D \cdot I_L^2 \cdot R_{DS(on)}\)$

Switching: $\(P_{sw,HS} = \frac{1}{2}V_{in} \cdot I_L \cdot (t_r + t_f) \cdot f_{sw}\)$

Low-Side Diode/MOSFET

Conduction: $\(P_{cond,LS} = (1-D) \cdot I_L \cdot V_F\)$

Inductor Losses

DC Copper Loss: $\(P_{Cu,DC} = I_{DC}^2 \cdot R_{DC}\)$

AC Copper Loss (skin effect): $\(P_{Cu,AC} = I_{AC,rms}^2 \cdot R_{AC}\)$

Core Loss (Steinmetz): $\(P_{core} = k \cdot f^{\alpha} \cdot B^{\beta} \cdot V_{core}\)$

Simulation Exercises

  1. Measure losses at different load currents
  2. Compare MOSFET vs IGBT at different frequencies
  3. Analyze loss breakdown pie chart
  4. Correlate losses with junction temperature rise