Module spare partsABB CS513 3BSE000435R1

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ABB CS513 3BSE000435R1

0 ailure rate from the ith intermediate state to a spurious trip 0j K= A = Repair rate from the ith intermediate state to the initial state Ai = 1 k Thif availability is defined as the ratio of system up-time to total time. The availability is given by: A = [MITF / (MTTF + MTTR)] (100%) Where: A = System availability MTTF= - Mean time to failure MTITR= Mean time to repair 3.3 Fail-to-Function Markov Model 3.3.1 Model Description. The fail-to-function Markov model is shown in Figure 3-2. Note that this figure is developed using the methodology described in Reference 5. The Tricon PLC is a fail safe PLC with triplicated inputs (3-2-0), triple redundant main processor with communication, and a quad output voter. As required by Reference 1, the Markov model includes the main processor, a digital input module, an analog input module, a digital output module, and an analog output module. Along with each input/output microprocessor, the Markov model includes each input/output circuit. Also included is the dual power supply. The first state in the Markov model is the system operating normally with no failures. The system fails to function only after two of the three channels have dangerous undetected failures. The intermediate states occur after one dangerous undetected failure and after a subsequent dangerous detected failure. The probability of moving from one state to another (i.e., probability of failure or repair) are shown by the arrows. Constant failure and repair rates are assumed. The first dangerous detected failure is not modeled because the repair rate is significantly greater than the chance of a second undetected failure occurring while the system is in that state. Each intermediate failure stateAdescribed below. All equations and transition coefficients are taken from the fail to function Markov model for a triplicated PLC with a quad output voter developed in Draft 12 of ISA SP.84.02 (see Reference 5). MPR Associates, Inc. O M PR 320 King Street Alexandria, VA 22314 Calculation No. P red ByPrh d B Paked1B 426-001-CBS-01 States 2, 3, 11, and 1 Digital Input Each digital input model is internally triplicated with 3-2-0 capability. State 2 is the first dangerous undetected failure of a digital input microprocessor module, and state 3 is the first dangerous undetected failure of a digital input circuit to an input module. States 11 and 12 are the corresponding states after a second dangerous-detected failure occurs. The transitions from the initial state to the intermediate states representing the initial failure of one of three input microprocessors or input circuits are given