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Bad Data Injection in Smart Grid Attack and Defense Mec:坏数据注入在智能电网中的攻击和防御机制
The 1st simulation of the proposed scheme is shown with 2 case : case 1 has FAR of 1% and case 2 as the 0.1%. The attacker becomes active at time 6, where the a change distribution from H0 to H1, The proposed algorithm singal the alarm and terminates the pdetection process at time 7, for case 2 is time 8, each has its own threshold h1 h2 repectively, in term of different FAR . As you can see the missing detection occurs , for case is T_d =1 and case 2 is T_d=2. We also can conclude that the higher constraint will need more time to make decision, therefore, the slower detection,. That why we have longer detection delay in case 2. (FAR is 1% as same as MDR). The adversary becomes active and injects the malicious data at time t = 6. In other words, a change distribution is at τ = 6 from N(0,z) to N(a,z), where a is unknown. The curve of adaptive CUSUM statistic (St) shows the sudden increase right after a change of distributions. The proposed algorithm quickly responses the abnormal event by signaling an alarm of out-of control. As a result, ARL (Th) of adaptive CUSUM algorithm is 7 at St = 13.2351, and ARL (Td) of detection delay is 1 in this simulation. The proposed algorithm signals the alarm and terminates the process at time 7 ; the detection delay occurs because of the missing detection at time 6 as shown in Figure 3. The system continuos the detection process until the CUSUM statistic St, which excesses the threshold. However, the detection accuracy of the proposed scheme is comparable high while maintaining a certain level of detection error rate. * we consider the Rao test [18], which is the asymptotically equivalent test model of GLRT. GLRT is to min the worst case effect by maximizing the unknown using ML estimation. But giving us high Complexity, near impossible to implement in the reality. The derivation of Rao test is similar to the locally most powerful (LMP) test but only much simpler; Rao test has the straight-forward calculation by taking d
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