newton raphson

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Newton Raphson

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NEWTON-RAPHSON METHOD • Consider the solution of the one-dimensional

• If is an initial estimate of the solution, and is a small deviation from the correct solution.

Then we have

math

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• Expanding by Taylor's series then we have

• Assuming the error is very small, the higher-order terms can be neglected • because of

• Then

mathNEWTON-RAPHSON METHOD

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• the first iteration will be

mathNEWTON-RAPHSON METHOD

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NEWTON-RAPHSON METHOD math

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Power flowNEWTON-RAPHSON METHOD

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Power flowNEWTON-RAPHSON METHOD J1

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ExampleNEWTON-RAPHSON METHOD

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Power flowNEWTON-RAPHSON METHOD J2

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ExampleNEWTON-RAPHSON METHOD

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Power flowNEWTON-RAPHSON METHOD J3

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ExampleNEWTON-RAPHSON METHOD

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Power flowNEWTON-RAPHSON METHOD J4

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ExampleNEWTON-RAPHSON METHOD

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Power flowNEWTON-RAPHSON METHOD

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ExampleNEWTON-RAPHSON METHOD

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ExampleNEWTON-RAPHSON METHOD

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ExampleNEWTON-RAPHSON METHOD

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ExampleNEWTON-RAPHSON METHOD

(n -1) x (n -1))

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ExampleNEWTON-RAPHSON METHOD

(n - 1) x (n - 1- m)

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ExampleNEWTON-RAPHSON METHOD

( n - 1 - m) x ( n - 1)

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ExampleNEWTON-RAPHSON METHOD

( n - 1 - m) x ( n - 1 - m)

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ExampleNEWTON-RAPHSON METHOD

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Thank you