Calculate phase angle between sine waves?

AI Thread Summary
To calculate the phase angle between two sine waves of the same frequency, one can use the mathematical relationship involving their multiplication. Specifically, the product of the sine functions can be expressed as sin(ft+a)sin(ft+b) = 0.5[sin(a-b) + sin(ft+(a+b)/2)]. By averaging this expression over one complete cycle, the second sine term cancels out, leaving 0.5sin(a-b). This result allows for straightforward derivation of the phase difference. This method is particularly useful for calculating the power factor in electrical circuits.
rjsalmon
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Hello,

I am trying to work out how to determine the phase angle between two sine wave mathematically?

I have setup a Matlab Simulink model and I would like to calculate the phase angle between my current and voltage (both at the same frequency) without using preprogrammed blocks, as i eventually want to calculate the power factor of the circuit.

Is there a simple way to calculate the phase angle between two sinusodal waves?

Thanks,
Rob
 
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If the sines are of the same frequency, use their multiplication

<br /> sin(ft+a)sin(ft+b)=0.5[sin(a-b)+sin(ft+(a+b)/2)]<br />
Averaging over a complete cycle (1/f) will kill off the second sine, and will leave you with 0.5sin(a-b), which you can easilly derive the phase difference from
 
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