Distribution Factor Formula:
From: | To: |
The Distribution Factor (DF) is a key parameter in electrical engineering that quantifies the effect of distributing windings in multiple slots. It represents the ratio of the vector sum to the arithmetic sum of EMFs induced in distributed windings.
The calculator uses the Distribution Factor formula:
Where:
Explanation: The formula accounts for the phase difference between EMFs induced in different slots of a distributed winding system.
Details: The distribution factor is crucial in AC machine design as it affects the generated EMF magnitude and waveform. A higher distribution factor indicates better utilization of winding conductors and improved performance.
Tips: Enter the number of slots (n) as a positive integer and the slot angle (α) in degrees. The calculator will compute the distribution factor, which typically ranges between 0 and 1.
Q1: What is the typical range of distribution factor values?
A: Distribution factor values typically range between 0.85 and 0.97 for practical electrical machines.
Q2: How does distribution factor affect machine performance?
A: Higher distribution factor improves the generated voltage waveform quality and increases the fundamental component of EMF.
Q3: What is the relationship between distribution factor and winding distribution?
A: The distribution factor decreases as the number of slots increases, but the overall performance improves due to better mmf waveform.
Q4: Can distribution factor be greater than 1?
A: No, the distribution factor is always less than or equal to 1. It reaches 1 only when all conductors are concentrated in one slot.
Q5: How is slot angle (α) calculated?
A: Slot angle in electrical degrees is calculated as: α = 180° / (number of slots per pole)