In a Battery Management System (BMS), the usable capacity of a battery decreases when operating at extreme temperatures.
The effective capacity can be estimated using:
Ceff=C⋅(1−α∣T−Tref∣)C_{\text{eff}} = C \cdot \left(1 - \alpha |T - T_{ref}|\right)Ceff​=C⋅(1−α∣T−Tref​∣)
Where:
  • CCC is the nominal battery capacity (Ah)
  • TTT is the operating temperature (°C)
  • TrefT_{ref}Tref​ is the reference temperature (°C), typically 25°C
  • α\alphaα is a degradation factor (per °C), e.g., 0.01
  • CeffC_{eff}Ceff​ is the effective usable capacity
The state of charge (SoC) is then:SoC=CremainingCeff×100SoC = \frac{C_{remaining}}{C_{eff}} \times 100SoC=Ceff​Cremaining​​×100
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Christian Schröder Lorenzo

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