1. What is the Secondary Phasor Formula?

The Secondary Phasor formula calculates the phasor quantity in the secondary winding of a transformer based on the primary phasor and the transformer ratio. It represents the fundamental relationship in transformer operation for both voltage and current transformations.

2. How Does the Calculator Work?

The calculator uses the Secondary Phasor formula:

Where:

• \( \Phi_s \) — Secondary Phasor (complex voltage or current in secondary winding)
• \( \Phi_p \) — Primary Phasor (complex voltage or current in primary winding)
• \( R \) — Transformer ratio (turns ratio Np/Ns)

Explanation: This formula demonstrates the inverse relationship between the transformer ratio and the secondary phasor magnitude relative to the primary phasor.

3. Importance of Secondary Phasor Calculation

Details: Accurate secondary phasor calculation is essential for transformer design, power system analysis, fault calculation, and understanding voltage/current transformation in electrical networks.

4. Using the Calculator

Tips: Enter the primary phasor magnitude and transformer ratio. Both values must be positive numbers (primary phasor > 0, transformer ratio > 0).

5. Frequently Asked Questions (FAQ)

Q1: What exactly is a phasor in transformer analysis?
A: A phasor is a complex number representation of sinusoidal quantities (voltage or current) that includes both magnitude and phase angle information.

Q2: How does the transformer ratio affect the secondary phasor?
A: The secondary phasor is inversely proportional to the transformer ratio. A higher ratio results in a smaller secondary phasor magnitude.

Q3: Can this formula be used for both voltage and current calculations?
A: Yes, the same relationship applies, but note that for current transformation, the relationship is actually inverse (Is = Ip × R for ideal transformers).

Q4: What are the limitations of this formula?
A: This formula assumes an ideal transformer without losses, leakage flux, or saturation effects. Real transformers may show deviations from this ideal relationship.

Q5: How is the transformer ratio determined?
A: The transformer ratio is determined by the number of turns in the primary winding divided by the number of turns in the secondary winding (Np/Ns).