Fuzzy Timing Petri Net for Fault Diagnosis in Power System

Figure 2

Forward FTPN model for fault at 𝐹 point in Figure 1. 𝜎₁: 𝑀₀[𝑡₁⟩𝑀₁[𝑡₃⟩𝑀₂[𝑡₄⟩𝑀₃[𝑡₅⟩𝑀₄,𝜎₂:     𝑀₀[𝑡₁⟩𝑀₅[𝑡₂⟩𝑀₆[𝑡₆𝑡₉⟩𝑀₇[𝑡₇𝑡₁₀⟩𝑀₈[𝑡₈𝑡₁₁⟩𝑀₉,      𝑀₀=(𝑃₁𝑃₅𝑃₉𝑃₁₃), 𝑀₁=𝑀₅(𝑃₂𝑃₅𝑃₆𝑃₉𝑃₁₀𝑃₁₃),     𝑀₂=(𝑃₃𝑃₄𝑃₆𝑃₉𝑃₁₀𝑃₁₃),     𝑀₃=(𝑃₄𝑃₆𝑃₉𝑃₁₀𝑃₁₃𝑃₁₄𝑃₁₅𝑃₁₆), 𝑀₄=(𝑃₅𝑃₆𝑃₉𝑃₁₀𝑃₁₃𝑃₁₄𝑃₁₅𝑃₁₆),     𝑀₆=(𝑃₅𝑃₆𝑃₉𝑃₁₀𝑃₁₃), 𝑀₇=(𝑃₅𝑃₇𝑃₈𝑃₁₁𝑃₁₂),𝑀₈=(𝑃₅𝑃₈𝑃₁₂𝑃₁₇𝑃₁₈), 𝑀₉=(𝑃₅𝑃₉𝑃₁₃𝑃₁₇𝑃₁₈), 𝑃₅=𝑅₂,𝑃₉=𝑅₁,𝑃₁₃=𝑅₄,𝑃₁₆=CB₂,𝑃₁₇=CB₁, 𝑃₁₈=CB₄.𝜎₁ and 𝜎₂ are the firing sequences, in the case of correct actuated and nonactuated of relay 𝑅₂, respectively, 𝑀₀ to 𝑀₉ are marking states of the FPTN.