newton raphson
TRANSCRIPT
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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