Looking for LT for three or more parallel aiding inductors

In summary, the conversation discusses the need to calculate mutual inductance for multiple aiding coils on the same magnetic core. The provided formula works for two inductors but not for more than two. It is noted that if the coils are wound on the same core, the mutual inductance will be close to 1.000. However, if the coils have different turn counts, the series resistance will play a role in limiting circulating currents.
  • #1
Chris Fuccillo
19
1
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I need to calculate the mutual inductance between multiple aiding coils. The above formula is fine for 2 inductor but I'm looking to calculate the mutual inductance for up to 30 or more parallel coils wound on the same magnetic core. I can not find an example or formula for more than two coils, any help would be greatly appreciated.
 
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  • #2
I believe the equation you give is for two nearby inductors, on different cores, but with some coupling.

If the parallel coils are wound on the same core, they will have M very close to 1.000
If all parallel coils have the same number of turns, the combination will reduce to just one inductor, but wound with thicker wire.

If the turns count is different then the series resistance of the coils will be important in limiting the circulating currents in the virtually shorted turns.
 

What is the purpose of looking for LT for three or more parallel aiding inductors?

The purpose of this research is to analyze the behavior of three or more parallel aiding inductors and determine the optimal values for the inductance and resistance to achieve the desired performance in a circuit.

What are the factors that affect the performance of three or more parallel aiding inductors?

The performance of parallel aiding inductors is affected by factors such as inductance, resistance, mutual inductance, and frequency. These parameters determine the overall impedance and behavior of the circuit.

How is LT calculated for three or more parallel aiding inductors?

The LT (Lorentz Transformation) for three or more parallel aiding inductors can be calculated by using the formulas for the total inductance and total resistance of a parallel circuit. These values can then be used to determine the LT ratio for the circuit.

What is the significance of finding the LT for three or more parallel aiding inductors?

Finding the LT for three or more parallel aiding inductors allows us to understand how the inductors interact with each other and how the circuit behaves as a whole. This information can be used to optimize the circuit's performance and improve its efficiency.

What are some applications of three or more parallel aiding inductors?

Parallel aiding inductors are commonly used in electronic circuits for power supply filtering, noise reduction, and impedance matching. They can also be found in various devices such as transformers, motors, and sensors.

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