Mastering Load Flow Studies: A Comprehensive Guide to Sine and Cosine in Math

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Sine and cosine are integral to understanding complex power in load flow studies, as they represent the components of two-dimensional vectors. The discussion highlights that an angle T can be expressed as A cos T + A sin T, emphasizing the relationship between these trigonometric functions and vector representation. Participants explore the connection between rectangular and exponential notation of complex numbers, noting that A<T can be expressed as A cos T + iA sin T, which equals Ae^(iT). This illustrates the mathematical foundation for analyzing electrical systems. The conversation underscores the importance of mastering these concepts for effective load flow analysis.
rizwanibn
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Hello...

Can anyone tell me how sine and cosine came in ,above .(To the last of the attachment pic)

Thank you.
 

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A angle T is A cos T + A sin T. In other words, things at an angle have sin and cos components. Complex power is about "real and imaginary" (I hate those terms) components. I'd rather say that complex power is about 2 dimensional vectors with sin and cos components.
 
@meBigGuy,
Thanks..!:)
 
Is there an 'i' with that?!

Like
A<T = AcosT + iAsinT

And isn't this equal to Ae^(iT) ??!
 
yeah
rectangular and exponential notation of complex numbers.
 

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