mws_ele_dif_txt_discrete_examples

mws_ele_dif_txt_discrete_examples - Chapter 02.03...

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Unformatted text preview: Chapter 02.03 Differentiation of Discrete Functions-More Examples Electrical Engineering Example 1 To increase the reliability and life of a switch, one needs to turn the switch off as close to the zero-crossing as possible. To find this time of zero-crossing, the value of t E t E is to be found at all times given in Table 1, where t E is the voltage and is the time. To keep the problem simple, you are asked to find the approximate value of t t E t E Volt e at . 10 t Table 1 Voltage as a function of time. Time, s t ag , V t E Time, s t Voltage, V t E 1 0.62161 13 –0.210796 2 0.362358 14 0.087499 3 0.070737 15 0.377978 4 –0.227202 16 0.634693 5 –0.504846 17 0.834713 6 –0.737394 18 0.96017 7 –0.904072 19 0.999859 8 –0.989992 20 0.950233 9 –0.98748 21 0.815725 10 –0.896758 22 0.608351 11 –0.725932 23 0.346635 12 –0.490261 24 0.053955 Use the forward divided difference approximation of the first derivative to calculate t E t E at . Use a step size of 10 t 1 t . Solution t t E t E t E i i i 1 10 i t 11 1 i t 02.03.1 02.03.2 Chapter 02.03 1 10 11 1 i i t t t 1 10 11 10 E E E 1 ) 896758 . ( 725932 . V/s 170826 . 170826 . 896758 . ) 10 ( ) 10 ( E E s 2495 . 5 Example 2 To increase the reliability and life of a switch, one needs to turn the switch off as close to the zero-crossing as possible. To find this time of zero-crossing, the value of t E t E is to be found at all times given in Table 2, where t E is the voltage and is the time. is the voltage and is the time....
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida.

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mws_ele_dif_txt_discrete_examples - Chapter 02.03...

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