How does the output inductor in a flying capacitor multilevel (FCML) converter contribute to natural voltage balancing of flying capacitors?

Thread Starter

Arnob01

Joined Jun 16, 2021
16
I'm studying FCML converters, especially the 4-level / 3-cell topology. It's clear that when the flying capacitors become imbalanced (e.g., one undervolted), the switching node voltages deviate from their expected levels.
I’ve read that the output inductor plays a key role in naturally restoring capacitor balance, acting somewhat like an integral controller. However, I'm struggling to intuitively understand how the inductor's current slope becomes a self-correcting mechanism.
My current understanding:
  • Capacitor imbalance leads to incorrect switching node voltages.
  • This creates a voltage across the inductor.
  • The inductor responds with a current slope.
  • That current redistributes charge between capacitors during different phases.
But I’m not clear on why this current flow ends up correcting the imbalance over time — or what ensures that the charge moves in the “right” direction to fix it.
Could anyone explain this concept in simple terms, or point me to visual/numerical resources that demonstrate this?
Thanks in advance!
 

Ya’akov

Joined Jan 27, 2019
10,226
I'm studying FCML converters, especially the 4-level / 3-cell topology. It's clear that when the flying capacitors become imbalanced (e.g., one undervolted), the switching node voltages deviate from their expected levels.
I’ve read that the output inductor plays a key role in naturally restoring capacitor balance, acting somewhat like an integral controller. However, I'm struggling to intuitively understand how the inductor's current slope becomes a self-correcting mechanism.
My current understanding:
  • Capacitor imbalance leads to incorrect switching node voltages.
  • This creates a voltage across the inductor.
  • The inductor responds with a current slope.
  • That current redistributes charge between capacitors during different phases.
But I’m not clear on why this current flow ends up correcting the imbalance over time — or what ensures that the charge moves in the “right” direction to fix it.
Could anyone explain this concept in simple terms, or point me to visual/numerical resources that demonstrate this?
Thanks in advance!
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