Linear Chi-Square Fit of a Blade Mass Distribution

Gunner Christian Larsen

Linear Chi-Square Fit of a Blade Mass Distribution

Gunner Christian Larsen

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Abstract

A variational based non-destructive experimental method, for the determination of the mass distribution of a wind turbine blade, has been developed. The formulation allows for leaving a priori known total mass and centre of gravity as invariants.

The method takes advantage of the fact that the blade, due to structural tests in connection with the test and approval procedure, is heavily instrumented with strain-gauges along the blade. The idea is to use these strain-gauges to measure the distribution of the moment originating from the weight of the structure itself, and subsequently to derive the mass distribution from that.

The present formulation furthermore offers a quantitative statistical measure of the goodness-of-fir based on an individual judgement of the size of the statistical scatter at each of the moment measuring terminals along the blade.

As an example, the method has been applied to determine the mass distribution of a LM17 m blade, and the results has succesfully been compared to the exact mass distribution obtained by cutting up the blade.

Original language	English

Place of Publication	Roskilde
Publisher	Risø National Laboratory
Number of pages	32
Publication status	Published - 1995

Series	Risø-R
Number	R-772
ISSN	0106-2840

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title = "Linear Chi-Square Fit of a Blade Mass Distribution",

abstract = "A variational based non-destructive experimental method, for the determination of the mass distribution of a wind turbine blade, has been developed. The formulation allows for leaving a priori known total mass and centre of gravity as invariants. The method takes advantage of the fact that the blade, due to structural tests in connection with the test and approval procedure, is heavily instrumented with strain-gauges along the blade. The idea is to use these strain-gauges to measure the distribution of the moment originating from the weight of the structure itself, and subsequently to derive the mass distribution from that. The present formulation furthermore offers a quantitative statistical measure of the goodness-of-fir based on an individual judgement of the size of the statistical scatter at each of the moment measuring terminals along the blade. As an example, the method has been applied to determine the mass distribution of a LM17 m blade, and the results has succesfully been compared to the exact mass distribution obtained by cutting up the blade.",

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AB - A variational based non-destructive experimental method, for the determination of the mass distribution of a wind turbine blade, has been developed. The formulation allows for leaving a priori known total mass and centre of gravity as invariants. The method takes advantage of the fact that the blade, due to structural tests in connection with the test and approval procedure, is heavily instrumented with strain-gauges along the blade. The idea is to use these strain-gauges to measure the distribution of the moment originating from the weight of the structure itself, and subsequently to derive the mass distribution from that. The present formulation furthermore offers a quantitative statistical measure of the goodness-of-fir based on an individual judgement of the size of the statistical scatter at each of the moment measuring terminals along the blade. As an example, the method has been applied to determine the mass distribution of a LM17 m blade, and the results has succesfully been compared to the exact mass distribution obtained by cutting up the blade.

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BT - Linear Chi-Square Fit of a Blade Mass Distribution

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Linear Chi-Square Fit of a Blade Mass Distribution

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