Cycle to millisecond Calculator

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Assume voltage or current waveform frequency
is 60 cycles/sec or 60 Hz

cycle

= millisecond

° degree

= milliseconds

° degree

= cycle



Assume voltage or current waveform frequency
is 50 cycles/sec or 50 Hz

cycle

= millisecond

° degree

= millisecond

° degree

= cycle



Assume voltage or current waveform frequency = 100,000 cycles/sec or 100 kHz

This visualization is useful in analyzing transient recovery overvoltage (TRV) due to restrike voltage in SF6 Gas in Extra High Voltage Power Circuit Breakers.

The normal operating frequency of EHV Power Circuit Breaker in the U.S. is 60 Hz. If the breaker is calibrated to trip at 2 cycles out of 60 Hz , it means the operating speed of the breakers is 33.33 millisecond not including the time delay for relay operation. TRV is very fast in 20 nanosecond up to 10 microsecond.

ASSUME FREQUENCY AT 100 kHz

cycle

= microsecond

10 microsecond = 10µsec = 10 x 10-6 second =10 e-6 second = 0.000010 sec

ASSUME FREQUENCY AT 50 MHz

cycle

= nanosecond

20 nanosecond = 20 nsec = 20 x 10-9 second =20 e-9 second = 0.000000020 sec

For 60 Hz

1 cycle * sec /60 cycles = 0.0166667 seconds = 16.667 milliseconds

360 electrical degree = 1 cycle

1 ° degree = 1/360 cycle = 0.002778 cycle

For 50 Hz

1 cycle * sec /50 cycles = 0.02 seconds = 20 milliseconds

Angular Degree to Radian Calculator

radian

= degree


Review of Sampling Frequency





Sampling Frequency Reviewer Fundamental (60Hz) + 3rd (1 peak) + 5th (1 peak) + 7th (1 peak) Harmonic Addition



Fundamental (60Hz) + 3rd (2 peak) + 5th (1.5 peak) + 7th (1 peak) Harmonic Addition



Fundamental (60Hz)(8 peak) + 3rd (4 peak) + 5th (6 peak) + 7th (3 peak) Harmonic Addition



Fundamental (60Hz) + 5th (1 peak) Harmonic Addition



Fundamental (60Hz) + 3rd (1 peak) Harmonic Addition



Fundamental (60Hz) + 7th (1 peak) Harmonic Addition



Fundamental (60Hz) + DC (0.80 peak) + 3rd (1 peak) + 5th (1 peak) Harmonic Addition



Electro Magnetic Transient Program Simulation Waveform (EMTP) shared in LinkedIn by Bahram Khodabakhchian

Given the distorted waveform from EMTP study how can we do fast fourier transform (fft) to discover the dominant frequency of voltage or current?
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Fast Fourier Transform shared in LinkedIn by: Source Credit to: Bingsen Wang, PhD Global Manager, HV Safety Integration at Stellantis, SMIEEE
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