102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 GE 411 Spring 2016 Final Examination TAKE HOME Total points: 100 A marine power plant has two generators G1 and G2, one located at the stern and the other located at the bow. Each generator is connected to its respective main switchboard, MSB-1 and MSB-2. The distributive switchboard DSB receives power from the main switchboards through the cables C1 and C2 and respective junction boxes D and E. The two main switchboards are interconnected through a long cable C3 and the junction boxes A and B. The schematic representation is shown in the figure below. Let us assume that the basic components subjected to failure are (a) generators G1 and G2 (x1 and x2), (b) main switchboards MSB-1 and MSB-2 (x3 and x4), (c) interconnecting cable C3 and junction boxes A and B, all treated as one unit (x5), (d) junction boxes D and E (x6, and x7), (e) distributive switchboard DSB (x8). Figure. Circuit diagram of a marine power generator 1) Write the fault tree diagram for the power plant (15 points) 2) Write the reliability block diagram of the power plant (15 points) 3) Find the list of the minimum cut sets and tie sets (Please review Chapter 4, Section 4.6 onwards for tie sets) (15 points) 4) Find the estimate of reliability using both minimum cut sets and tie sets (20 points) 5) Now let us assume that each of the five systems have a different life time, but each can be represented by a Weibull Distribution: x1 and x2 both have a = 1000 hrs, and b = 3.1, x3 and x4 both have a = 1500 hrs, and b = 2.9, and x5 has a = 2000 hrs, and b = 5. Review chapter 4.7 completely. Find the Mean Time to Failure by using the Monte-Carlo simulation method by generating 10 random numbers per variable. You may use Excel or Matlab for generating the values. (35 points) Extra 10 points for plotting the System failure times in a loglog Weibul graph and fitting the b values