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A New Diagnosis Method on Insulators with Measuring ... - inass

A New Diagnosis Method on Insulators with Measuring ... - inass

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(a) gray transform (b) median filter (c) gray stretch (d) Image rotati<strong>on</strong>(e) Roberts edge detecti<strong>on</strong>(f) binary processing (g) thin processing (h) c<strong>on</strong>tour tracking (i) vertical scanning (j) polynomial fittingFigure 7 The processing images of water dropletIn this paper Can<strong>on</strong>'s digital camera “ixus60” isdeployed to capture the water droplet image <strong>on</strong>insulator, whose resoluti<strong>on</strong> is 1600×1200 pixels andwhich is saved as the BMP format. Figure 6 showsthe image.Figure 7 shows images processing of the insulatorc<strong>on</strong>tact angle detecti<strong>on</strong>. Since our attenti<strong>on</strong> isfocused <strong>on</strong> the area near the endpoints, removing themid-points which influence the fitting results andchoosing a number of points near the endpoints to fitis likely to increase fitting accuracy.90.0°80.0°70.0°60.0°50.0°40.0°30.0°20.0°70.0°65.0°60.0°55.0°50.0°45.0°40.0°35.0°30.0°25.0°20.0°8 11 14 17 20 23 26 29 32 35 38 41quadratic cubic quartic quintic photographyFigure 8 Precisi<strong>on</strong> analysis of advancing angle8 11 14 17 20 23 26 29 32 35 38 41quadratic cubic quartic quintic photographyFigure 9 Precisi<strong>on</strong> analysis of receding angleChoose different numbers of points near endpointsand polynomials degree <strong>with</strong> sec<strong>on</strong>d, third,fourth or fifth to fit curve many times, the results areshown in Figure 8 and Figure 9.The results show that when the polynomialsdegree is low, the fitting error is large, the c<strong>on</strong>tactangle has great fluctuati<strong>on</strong> <strong>with</strong> fitting pointsnumber changing, and experiment reproducibility ispoor. When polynomial degree is a higher number(more than four), the fitting effect is better. Thecalculated results are similar to photography measurementresults. The less the fitting points are, thegentler the curve is, which illuminates that properlyreduced sample points near the endpoints helps toenhance the accuracy. But when the number ofpoints is less than 10, the results has a largefluctuati<strong>on</strong>, which shows that there are not enoughpoints, so the fitting accuracy is reduced and thedetecti<strong>on</strong> accuracy is reduced either. All c<strong>on</strong>sidered,we select 28 points near the endpoints to carry <strong>on</strong>five polynomial fitting.Table 1 Result of c<strong>on</strong>tact angles measurementSequenceAdvancinganglemeansdifferenceRecedinganglemeansdifference1 74.0° 1.0° 54.6° 0.0°2 71.6° 1.4° 56.0° 1.4°3 73.8° 0.8° 53.6° 1.0°4 72.0° 1.0° 53.0° 1.6°5 73.5° 0.5° 55.8° 1.2°Average 73.0° 0.94° 54.6° 1.04°Using this whole process to measure the sameinsulator many times, we can get the results asshown in Table 1, from which it is proved thatmeasurement variance is less than 2%. Thus themethod is accurate, effective and has a certainInternati<strong>on</strong>al Journal of Intelligent Engineering and Systems, Vol.2, No.2,2009 23

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