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Please find the final test report of an industrial generator which submitted by an international famous manufacturer for a new production as following.
Please find the final test report of an industrial generator which submitted by an international famous manufacturer for a new production as following. They use a complex and big formula for determination of X0 instead of a simple formula (Q=X0.I²₀), as you can see below those mentioned formula are equal.
How can you explain the reason of chosen big formula?

X0 = Q/I² = (E.Sinø) .(E.Sinø)/Q = E²/Q . Sin²ø = E²/Q. 1 / (1+Cotg²ø)

X0= E²/Q . 1 / ( 1+P²/Q²) = E²/Q . Q²/( P²+Q²)

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