Quid est Factor Spatii Spirae?

Factor Coil Span (Pitch Factor) Definitio et Characteristica
Definitio Pitch Factor (Kₙ)

Factor coil span (etiam notus ut factor chording) Kₙ definitur ut ratio inducendi voltage in coil brevi pitch ad illam in full-pitched coil. Distancia inter duos latera coil nominatur coil span, quod characterizatur per suum angulum electricum ad indicandum gradum brevis pitch.

Significatio Physica Pole Pitch

Angulus distantiae inter lineas centrales adjacentium polorum appellatur pole pitch, qui semper aequat 180 gradus electricos, sive quantitas polorum in machina. Coil cuius span est 180 gradibus electricis vocatur full-pitched coil, ut demonstratur in figura infra:

Characteristica Short-Pitched Coil

Coil cuius span minor est quam 180 gradibus electricis vocatur short-pitched coil (vel fractional-pitch coil), etiam notus ut chorded coil. Configuratio short-pitch coil demonstratur in figura infra:

Chorded Winding et Calculatio Coil Span

Stator winding utens fractional-pitch coils appellatur chorded winding. Si coil span reducitur per angulum electricum α, effectivus span efficitur (180 – α) gradibus electricis.

Pro full-pitch coil, distantia inter duo latera coil exacte aequat 180° electricum pole pitch, assecurans ut voltages inducti in singulis lateribus coil sint in phase. Sint E_C1 et E_C2 denotantes voltages generati in lateribus coil, cum E_C ut resultante coil voltage. Relatio exprimitur per aequationem:

Cum E_C1 et E_C2 sint in phase, resultante coil voltage E_C aequat arithmetic summa duorum voltagerum.

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Phasor Analysis Short-Pitched Coils

Quando coil span unius coil minor est quam 180° electricum pole pitch, voltages inducti in singulis lateribus E_C1 et E_C2 exhibent differentiam phase. Resultante coil voltage E_C est phasor summa E_C1 et E_C2.

Si coil span reducitur per angulum electricum α, effectivus span efficitur (180 – α) gradibus. Ita, E_C1 et E_C2 erunt out of phase per α gradus. Ut demonstratum in diagramma phasoris supra, phasor summa EC correspondet vectori AC.

Factor coil span Kc exprimitur ut:

Characteristica et Advantages Short-Pitched Windings
Relatio Inter Pitch Factor et Coil Span

• Full-pitched coil: Quando α = 0°, cos(α/2) = 1, ita Kₙ = 1.

• Short-pitched coil: Kₙ < 1, indicans quod short-pitching reducit amplitudinem induti voltage.

Advantages Technici Short-Pitched Coils (Chorded Windings)

• Optimizatio Costum Materialis：Shortens winding end-turn lengths, reducing conductor material usage and manufacturing costs.

• Enhancement Qualitatis Waveform：Suppresses harmonic distortion, making the induced EMF closer to a sine wave and improving power quality.