System Reliability Theory. Marvin Rausand

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primary failure, also called a random hardware failure in IEC 61508, occurs when the item is used in its intended operating context. In most cases, the primary failure results in an item fault and a repair action is usually necessary to return the item to a functioning state. Primary failures are generally random failures, where the cause of failure can be attributed to aging and the properties of the item itself. A primary failure is illustrated in Figure 3.8. Primary failures are the only category of failures that we justifiably can claim compensation for under warranty. Primary failures are not relevant for software.

Schematic illustration of a primary failure leading to an item fault.

      Secondary Failures

      A secondary failure, also called overstress or overload failure, is a failure caused by excessive stresses outside the intended operating context of the item. Typical stresses include shocks from thermal, mechanical, electrical, chemical, magnetic, or radioactive energy sources, or erroneous operating procedures. The stresses may be caused by neighboring items, the environment, or by users/system operators/plant personnel. Environmental stresses, such as lightning, earthquake, and falling object, are sometimes called threats to the item. We may, for example, say that lightning is a threat to a computer system and that heavy snowfall and storm are threats to an electric power grid. The overstress event leads to a secondary failure with some probability images that depends on the stress level and on the vulnerability of the item. Overloads of software systems may also be classified as secondary failures.

Schematic illustration of a secondary failure, caused by an overstress event, leading to an item fault.

      Systematic Failures

Schematic illustration of a systematic fault leading to a systematic failure.

      Example 3.11 (Airbag system in a car)

      A heavy (i.e. heavier than air) and dangerous gas is used in a chemical process. If a gas leakage occurs, it is important to raise an alarm and shut down the process as fast as possible. For this purpose, a safety‐instrumented system (SIS) is installed, with one or more gas detectors. The SIS has three main parts (i) gas detectors, (ii) a logic solver that receives, interprets, and transmits signals, and (iii) a set of actuating items (e.g. alarms, shutdown valves, door closing mechanisms). The purpose of the SIS is to give an automatic and rapid response to a gas leakage. Many more details about SIS may be found in Chapter 13.

      Assume that a gas leak has occurred without any response from the SIS. Possible causes of the failure may include the following:

       A primary (i.e. random hardware) failure of the SIS.

       The installed gas detectors are not sensitive to this particular type of gas, or have been mis‐calibrated.

       The gas detectors have been installed high up on walls or in the ceiling (remember, the gas is heavier than air.)

       The gas detectors have been installed close to a fan (no gas will reach them.)

       The gas detectors have been inhibited during maintenance (and the inhibits have not been removed.)

       The gas detector does not raise alarm due to a software bug. (Most modern gas detectors have software‐based self‐testing features.)

       The gas detector is damaged by, for example, sand‐blasting. (Has happened several times in the offshore oil and gas industry.)

      Security Failures

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