An accurate formula for the firing angle of the phase angle control in terms of the duty cycle of the integral cycle control

الملخص EN

This paper presents development of a simple and accurate formula for evaluation of the firing angle (α) of the phase angle control in terms of the duty cycle (K) of the integral cycle control when the same average output power transfer is required.

The accuracy of the formula developed is verified by comparing the values obtain from the exact iterative solution.

It has been shown that, the maximum error over the whole range of the entire firing angle (α) computed for any value of the exact value is found to be less than 2 degree.

The formula presents a very simple way for the evaluation of the comparison of the harmonics properties of the phase angle control and integral cycle control for the same average power transfer.

In addition, the developed formula reduces the computational time and also reduces time for manual classroom calculation.