Pitch Factor Formula:
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The Pitch Factor (Kp) is the ratio of the voltage induced in a short-pitch winding to the voltage that would be induced if the winding were full pitch. It accounts for the reduction in induced EMF due to coils spanning less than a full pole pitch.
The calculator uses the Pitch Factor formula:
Where:
Explanation: The cosine function calculates the reduction factor based on the coil span angle. A shorter pitch (larger θ) results in a smaller pitch factor.
Details: Pitch Factor is crucial in electrical machine design as it affects the magnitude of induced EMF, harmonic content, and overall performance of induction motors and generators.
Tips: Enter the short pitched angle in radians. The angle represents how much the coil span is less than a full pole pitch (180° electrical).
Q1: What is the range of Pitch Factor values?
A: Pitch Factor ranges from 0 to 1. A value of 1 indicates full pitch winding, while values less than 1 indicate short-pitched winding.
Q2: Why use short-pitched windings?
A: Short-pitched windings reduce harmonic content, improve waveform quality, save copper, and reduce end-winding leakage reactance.
Q3: How does Pitch Factor affect motor performance?
A: Lower Pitch Factor reduces the fundamental EMF but also reduces harmonic EMFs, leading to smoother operation and reduced losses.
Q4: What's the relationship between electrical and mechanical degrees?
A: Electrical degrees = (Number of poles/2) × Mechanical degrees. For a 4-pole motor, 180° electrical = 90° mechanical.
Q5: Can Pitch Factor be greater than 1?
A: No, Pitch Factor is always between 0 and 1 since it's a cosine function of a positive angle divided by 2.