1.5. Reliability prediction framework, process ans use#
1.5.1. Reliability prediction framework underlying this handbook#
Any reliability prediction should be clear, specific and useful.
âClearâ means that the assumptions underlying the prediction are clearly defined and communicated together with the prediction results, allowing for a meaningful interpretation.
âSpecificâ means that the characteristics of the product and mission under analysis are considered appropriately, and the prediction accounts for the relevant variables.
âUsefulâ means that the prediction is giving answers to the questions that are of relevance for the required use of the prediction results.
To achieve this, the framework of this handbook starts the prediction process with a discussion of the assumptions underlying the prediction (Section 1.5.2 of this part), allowing to be at the same time specific to the problem at hand and clear regarding the meaning and interpretation of the prediction results. A key concept is the intended use of the prediction, which is driving the required scope and focus of the prediction in order to be useful for the trade-offs that will be supported (Section 1.5.3 of this part). Throughout the project life cycle, the prediction will serve different purposes, and different reliability prediction tasks are performed to coordinate the prediction throughout the system development (Section 1.5.4 of this part).
1.5.2. Assumptions and ground rules for the prediction#
When planning a reliability prediction, the ground rules and key assumptions underlying the prediction must be agreed upon in a first step. Which assumptions are appropriate, depends on the following aspects:
The system characteristics or item under analysis,
The project life cycle phase in which the prediction is performed, and
The intended use of the prediction results.
Thus, sufficient information on these three points should be available before starting with the prediction and even before defining any ground rules and assumptions.
Table 1.5.1 gives an overview of different areas in which assumptions need to be made before starting a system level reliability prediction. The associated ground rules give a rough indication of the general principles that should be followed to achieve maximum accuracy (i.e. realistic predictions).
It is not mandatory to be compliant with each ground rule, but the assumptions made should be justified considering the characteristics of the system, the project life cycle phase in which the prediction is made and the intended use of the prediction results.
It should be clear that the assumptions made can have a tremendous impact on the results. If the main goal is to receive reliability predictions that are comparable (e.g. between different manufacturers or suppliers), one should ensure that the same assumptions are used. At least the key assumptions with the largest impact on the result should be agreed by all parties, and/or specified in the supply chain.
Any reliability prediction report should provide full information on the assumptions made for the prediction, as listed in Table 1.5.1 below. This ensures that the required elements of a reliability prediction, as defined in [NR_METHODO_11], Clause 4, are provided with the prediction. The relation between each of these required elements, the assumptions listed in Table 1.5.1 and the relevant paragraphs of this handbook is given in Table 1.5.2.
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Required element of a reliability prediction ([NR_METHODO_11], Clause 4) |
Table 1.5.1 assumptions |
Handbook parts/paragraphs |
|---|---|---|
Identification and description of the item for which the prediction is made and the life cycle phase upon which the prediction is performed |
|
|
Intended use of the prediction results |
|
|
RP coverage: No required element in [NR_METHODO_11] |
|
Section 1.4.1, Section 1.4.2, Section 2.5, Section 2.5, Section 1.4.3, Section 1.4.4 |
List of inputs used for the selected methodologies |
|
|
Modelling: No required element in [NR_METHODO_11] |
|
|
Prediction metrics: Definitions and values |
|
|
Uncertainties and limitations of the prediction |
|
|
Statistical confidence in the prediction |
|
1.5.3. Scope and focus of the prediction for different reliability prediction uses#
The scope and focus of a reliability prediction can be defined in terms of different axes, see Table 1.5.2 above (RP coverage).
As a general rule, all elements and associated failure modes and mechanisms need to be covered by the prediction, unless their contribution to overall system (un-)reliability or to the decision that will be supported, can be assumed to be negligible for practical purposes. Similar considerations hold for the coverage of mission phases during the prediction. The required coverage in terms of root causes (failure categories, see Section 1.4.3 for classification) depends on the intended use of the prediction. This is discussed in the following paragraphs.
1.5.3.1. Reliability prediction versus reliability management#
Achieving a high reliability product is an important objective during the design and production of any space system. Considering all root causes of failure is a prerequisite, and different mitigation processes are in place to avoid the occurrence of each of them (see Table 1.5.3 for examples). Apart from measures to avoid the different root causes, system level design aims at mitigating the effect of lower-level failures on the success of the mission.
The objective of reliability predictions is to provide quantitative estimates for the (remaining) probability of failure despite the implementation of these measures. Some of the mitigation measures are explicitly considered in the prediction, e.g. quality level of EEE parts, or redundancy at system level. Others can be used as a justification to neglect certain root causes in the prediction, provided that the mitigation measures are sufficiently effective to avoid their occurrence.
To give an example, calculations from radiation engineering can provide evidence that the rate of destructive SEE is negligible compared to the random failure rate. Similar considerations become relevant for degradation failures of EEE components on satellites for instance, which can in most cases be effectively avoided by safe life qualification (with appropriate margins), at least when the prediction is limited to the specified design lifetime. In addition, depending on the intended use of the prediction, there can be no added value to make a quantitative prediction for a certain root cause, because it does not make a difference for the trade-offs that will be supported by the prediction.
These aspects are discussed in the following parts.
Failure category |
Root cause |
Mitigation |
|---|---|---|
Random failure (RF) |
⢠Unknown residual defect/weakness: |
⢠Space qualification |
Systematic failure (SF) |
⢠Design error |
⢠Robust design |
Degradation failure (DEG) |
⢠Normal physical process â time/equivalent time |
⢠Components and materials selection |
Extrinsic failure (EX) |
For launchers, the local environmental conditions apply. |
⢠Components and materials selection |
1.5.3.2. Overview on different reliability prediction uses#
Different reliability prediction uses become relevant throughout the project life cycle of a space mission (see Table 1.5.4 for an overview). This table includes some classical reliability prediction uses, related to management and verification of reliability requirements or to the support of design trade-off decisions.
Moreover, some new stakes are addressed, e.g. related to the constellations design or to the satellites safe disposal.
Reliability prediction uses |
Description |
Phases |
|---|---|---|
Input to the design, support trade-offs and comparisons |
During the design phase, reliability prediction can be used to compare competing designs or trade-off options, to identify weak parts of the design and to assess the impact of design changes. The level of detail increases with the project phases. |
A â D |
Establishment, management and verification of quantitative reliability requirements |
The purpose of quantitative reliability requirements and their management and verification is to ensure acceptable (as specified) reliability of space products through contractual specification. |
0 â D |
Support decisions on the choice of engineering design margins |
Reducing excessive margins is one way to reduce costs but should be justified by an appropriate rationale or analysis. On the other hand, it can sometimes be reasonable to increase a specific margin to avoid a catastrophic single point failure. |
A â C |
Choosing a test strategy at part, equipment or higher levels |
Another way to reduce costs is to reduce the effort dedicated to testing. Additional tests can be useful, e.g. to verify a design for identified stresses, to avoid costly redesigns. Also, these decisions should be justified by an appropriate rationale or analysis. |
A â D |
Support business planning for single spacecraft and for the design of constellations |
Reliability predictions â or specified reliability requirements â form an important input to support space customerâs business planning. This holds particularly for the design of constellations as âsystem of systemsâ, e.g. to decide on the number of spares, replenishment scenarios or redundancy management. |
0 â E |
Health monitoring and decision-making on lifetime extension vs. safe disposal |
Spacecrafts are designed to be reliable for a specified lifetime and any lifetime extension needs to be justified based on reliability prediction. To support the decision, the reliability prediction needs to be revisited, in particular for the functions relevant for satellite safe disposal (space debris mitigation). |
E â F |
The reliability prediction methodology presented in this handbook intends to embrace different reliability prediction uses, although the focus is clearly on the âclassicalâ uses, related to the development and design of a single spacecraft. The first use listed in Table 1.5.4 is considered as the base case. Recommendations on the root cause coverage required for this use are provided in Section 1.5.3.2.1 of this part, followed by a discussion of the remaining uses in the following paragraphs.
1.5.3.2.1. Reliability prediction as input to the design#
Providing input to the design of a spacecraft can be seen as the classical use for reliability predictions in space applications and it is the focus of this handbook. To be useful for design, the methodology needs to account for the relevant design variables, in order to support the required trade-offs and for the affected categories of failures.
Guidance on the root cause coverage required for this reliability prediction use is given in Table 1.5.5 below:
Note 5
The recommendation made for systematic failure modelling is driven by the limitations of the available modelling approaches, which do not account for the relevant decision variables (e.g. impact of maturity category, test strategy). Other design decisions, such as redundancy sizing or the margin policy, are not effective to avoid systematic failures. For these reasons, the added value to consider this failure category for design support is small despite its clear relevance for the overall failure count.
Failure category |
Required coverage for reliability prediction as design support |
|---|---|
Random failure (RF) |
Full coverage required |
Systematic failure (SF) |
Not generally required to cover systematic failures, unless full root causes coverage is needed, e.g. to support the design of a constellation (see Section 1.5.3.2.5). |
Degradation failure (DEG) |
Degradation after the specified lifetime is out of scope for this use (see Section 1.5.3.2.6 for lifetime extensions). |
Extrinsic failure (EX) |
Relevant stress contributors resulting from the spacecraft environment should be considered in the prediction of random and degradation failures. |
The recommendations regarding root causes coverage are generally valid also for preliminary reliability predictions, e.g. for the Preliminary Design Review (PDR).
However, the level of detail used in the modelling can be reduced in this context to reduce prediction efforts and to account for limited input availability in early project phases.
1.5.3.2.2. Establishment and verification of quantitative reliability requirements#
To allow for a meaningful verification, the specification of quantitative reliability requirements should always go hand in hand with a clear definition of the requirementâs scope in terms of failure categories, as well as elements coverage.
The recommendations on root cause coverage for design support in Table 1.5.5 can be used also in this context. The quantitative reliability requirements specified between customers, prime contractors and suppliers can then directly be used as a design driver, with the goal to find the best architecture and detailed design to comply with the requirements under the given schedule and budget constraints.
After completion of the detailed design, the prediction can be extended to account for systematic failures as well, e.g. when full root causes coverage is needed to support the business planning for the owner of a single satellite or a satellite constellation (Section 1.5.3.2.5).
1.5.3.2.3. Reliability prediction supporting the choice of engineering design margins#
The recommendations made in Table 1.5.5 are based on the assumption that the occurrence of certain root causes is effectively reduced by different mitigation measures, as listed in Table 1.5.3. However, one possible use of quantitative reliability predictions is to assess the risk associated with a reduction of design margins, or the benefit of increasing a specific margin.
The reliability prediction then needs to account for the effect of this margin policy decision, which can require the consideration of additional root causes. Safe life qualification to avoid degradation failures before end-of-life is a case in point; degradation models that are based on Physics of Failure (PoF) allow quantifying the effect of the associated margins (e.g. radiation margins) on the itemâs reliability. More generally, the effect of design margins can be quantified with the aid of any reliability model that consider the effect of the stress contributors that are addressed by this margin.
1.5.3.2.4. Reliability prediction supporting the choice of a test strategy#
Also, the choice of a suitable test strategy can be based on quantitative reliability predictions to assess the effect on the reliability of the flight item. Part level tests, such as e.g. lot acceptance tests, reliability tests, lifetime tests or radiation tests, generally have a clear relation to a specific failure category and the risk associated with a specific test plan (e.g. sample size, duration) can be quantified using statistical methods.
System level qualification and verification tests are performed mainly as a means of quality control, to identify possible design and manufacturing errors that can otherwise lead to systematic failures during launches or operations in-orbit. However, with the approaches for systematic failure modelling presented in the current handbook, it is not possible to consider the effect of testing and thus to quantify the risk associated with a specific test strategy.
1.5.3.2.5. Reliability prediction as input for business planning and design of constellations#
To support business planning on the customer side (for single satellites, and especially for constellations), or for the insurance of space systems, reliability predictions need to be as realistic as possible.
To achieve this, the scope of the prediction should follow the recommendations made for design support (Table 1.5.5), with an extension to account for systematic failures as well.
1.5.3.2.6. Reliability prediction to support decisions about lifetime extensions#
The limited coverage of degradation effects proposed in Table 1.5.5 for design support is justified by the fact that components are generally qualified for the specified lifetime. This condition is violated in the case of a lifetime extension, requiring additional considerations for the associated reliability predictions.
To support decisions on lifetime extensions, it cannot be required to revisit the scope of the prediction for all spacecraft elements, e.g. for space debris mitigation only the functions needed for safe disposal are of interest, and health monitoring can be used to better assess the risk of failure in redundant system architectures. Where a quantitative prediction is required, the scope of the prediction needs to be extended to account for additional degradation failures that can become relevant due to the lifetime extension.
1.5.4. Reliability prediction during project life cycle#
This paragraph explains how the system reliability prediction process interacts with the system development process and which activities and deliverables should be performed throughout the system life cycle.
The typical system life cycle of space products according to ECSS-M-ST-10C [BR_METHODO_1] consists of seven phases, as shown in Fig. 1.5.1 (see also Section 1.4.1.1).
Fig. 1.5.1 Interaction of the reliability process with the system life cycle of a satellite#
The establishment and cascading of reliability requirements will be explained in Section 1.5.4.2.1 of this part. The evaluation of system architectures from reliability perspective in early design phase is introduced in Section 1.5.4.3. The verification of system reliability requirements is part of Section 1.5.4.4 and the aspects of reliability prediction for life-time extension and safe disposal are handled in Section 1.5.4.5. The contribution of reliability prediction to the system development during the different life cycle phases is shown in Section 1.5.4.1 of this part.
1.5.4.1. Deliverables of the reliability prediction process during life cycle#
The scope and aim of each system life cycle phase, is highlighted in Fig. 1.5.1, taken from [BR_METHODO_1].
Fig. 1.5.2 System life cycle#
The contribution of reliability prediction to each phase and the associated reviews are explained as follows in Table 1.5.6. This table gives an overview of reliability documents to be provided per review during the system life cycle.
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Note 6
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1.5.4.2. Management of reliability requirements#
The following paragraphs give information about the management of reliability requirements.
1.5.4.2.1. Establishment of reliability requirements#
In the following paragraph, the process steps to support the establishment of appropriate reliability requirements will be explained according to [[BR_METHODO_5]]. The first step is the classification of the type of space mission, as shown in Table 1.5.8. Details on the coverage of this handbook in terms of mission types can be found in Section 1.4.2.1 of this part of the handbook.
Classes |
Mission type |
|---|---|
Class A |
Human flight or material transport flight |
Class B |
Telecommunication, observation and navigation for application with high integrity requirements |
Class C |
Telecommunication, observation mission, space probe |
Class D |
Test and demonstration mission |
Class L |
Launcher, launch base |
Within each class, the missions can be further categorized based on the following criteria [BR_METHODO_5]. For instance, Table 1.5.9 presents ESAâs satellite mission classification. This is one example of mission classification, that needs to be applied for ESA projects.
Note 7
Other companies can have their own specific mission classification.
Mission characteristics criteria |
Alpha |
Beta |
Gamma |
Delta |
|---|---|---|---|---|
Acceptable Risk |
LOW |
â |
â |
HIGH |
Criticality to agency Objectives, strategy and image |
Extremely critical |
Highly critical |
Medium criticality |
Low criticality |
Cost |
|
200 â 400 M⏠|
25 â 200 M⏠|
< 25 M⏠|
Mission lifetime |
|
5 â 7 years |
2 â 5 years |
< 2 years |
Mission complexity |
Extremely complex |
Highly complex |
Medium complexity |
Low complexity |
The type of mission as well as the categories of mission within each class (Table 1.5.9) should be taken into account for the establishment of reliability requirements. As a general rule, the larger the economic loss a failure of the mission would cause, the more stringent the reliability requirement should be. Furthermore, the criticality of the mission success to the strategic objectives of the customer can justify a higher reliability requirement.
Reliability requirements are expressed as expected probability of success over a given time period under consideration of:
Customer commercial objectives, revenue and return on investment,
Insurer requirements,
Regulation, e.g. avoidance of space debris and safe disposal,
Technical feasibility,
Cost, weight and volume constraints.
For example: The probability that the satellite achieves its performance requirements shall be better than 90% after a mission duration of 10 years in orbit.
Each quantitative requirement should be linked to an explanation to ensure correct interpretation. This includes definition of the scope, principles and boundary conditions that are to be applied for the reliability prediction, as discussed with the ground rules and assumptions for reliability prediction in Section 1.5.2 of this part.
The reliability requirements could also be defined considering partial losses leading to reduced functional capability and graceful degradation, for example:
The probability that at least \(k\) out of \(n\) antenna links are operative after \(y\) years in orbit shall be greater than 98%.
Where \(n\) denotes the total number of units installed and \(k\) an acceptable degraded mode, with \(k < n\). The duration \(y\) is usually defined in years and corresponds to end of mission, end of in-orbit testing or end of Launcher and Early Orbit Phase (LEOP), but it can also refer to operation cycles or hours.
1.5.4.2.2. Allocation of reliability requirements#
The allocation of requirements can start with assigning historical data of similar systems to subsystems and equipment level and is then refined as more details become available.
The allocation of reliability requirements then consists of the following steps:
Analysis of input requirement to formulate functional and performance requirements.
Define functional architecture to ensure system performance.
Functional failure analysis at system and subsystem level to identify failure scenarios that would lead to violation of reliability requirements.
Create a high-level system model that consists of the relevant subsystems based on the functional failure analysis.
Assign reliability targets to sub-functions. Besides the use of historical data of similar systems, different approaches could be used to assign initial reliability targets, for example:
Review of subsystem targets with regard to feasibility, cost, schedule etc⌠and refine allocation if deemed necessary. This may involve iterations to find a well-balanced apportionment of reliability targets.
The allocation of requirements to lower level starts with the identification of system functions. Based on the customer top level reliability requirements, a system function for the design can be identified. This overall system function is decomposed into its sub-functions [BR_METHODO_4].
The functional failure analysis determines the failure effects and repercussions at system level. The following generic failures could be used as guideline to assess each function and sub-function:
Total loss of function,
Partial loss of function,
Un-commanded or spurious functioning,
Erroneous functioning.
The results of the functional failure analysis allow identifying the functions; those failures would affect the ability to perform the required system function. The cascading of the top-level system reliability requirement to the contributing sub-functions should consider the results of the functional failure analysis. That means, the reliability target allocated to functions and sub-functions should consider the relevant failure modes to ensure functional integrity.
An example of the functional failure analysis for the power supply system is shown in Table 1.5.10. A similar analysis needs to be performed for all functions of the satellite, whereby in early phases of the development the main functions are considered and as design evolves the functional breakdown can be refined and more details are included.
Function / Sub-function |
Functional failure |
Failure effect |
|---|---|---|
1 - Provide electrical power |
Total loss of electrical power |
⢠Total loss of power supply |
1.1 - Photovoltaics |
Total loss of photovoltaics capabilities |
⢠Total loss of power supply |
1.1 - Photovoltaics |
Partial loss of photovoltaics capabilities |
⢠Degraded performance, battery not fully charged, power interrupt in Earthâs shadow possible |
1.2 - Charge Battery |
Loss of battery charging |
⢠No power supply in Earth shadow in one orbit |
1.2 - Charge Battery |
Overcharge of battery |
⢠Permanent damage of battery possible |
1.3 - Output voltage regulation |
Erroneous function output regulation â too low |
⢠Insufficient voltage supply to satellite |
1.3 - Output voltage regulation |
Erroneous function output regulation â voltage too high |
⢠Permanent damage to electronic components possible if no over-voltage protection is implemented |
Quantitative methods are used to support the system definition and to refine the allocation of requirements to subsystem level.
In the following, different approaches for requirement allocation are introduced, including:
Equal allocation,
Proportional allocation (ARINC method),
Feasibility-Of-Objectives (FOO) method. These methods are applicable for a serial system structure only. For more complex system architectures, the reliability allocation should also make use of system level reliability assessment methods (see Section 9, Part 6 - System of this handbook).
The apportionment of the system level reliability target to sub systems is based on the following relation for serial system.
Equation
Where,
\(\hat{R}_{S}(t)\) denotes the reliability target on system level,
\(\hat{R}_{i}(t)\) denotes the reliability target on sub-system level, and
\(w_{i}\) denotes the weighting factor of sub-system \(i\).
It is obvious that for different values for \(R_{i}(t)\) the same system reliability \(R_{S}(t)\) can be obtained. Thus, there are infinite possible solutions to allocate the system level reliability target to the subsystem level. Therefore, practical methods are needed to assist the system design in the apportionment of reliability requirements.
Equal allocation
This method equally distributes the system reliability on all the subsystems below the system level (from [NR_METHODO_1]). The weighting factor is equal for each subsystem and given by the number of subsystems. The reliability target for the subsystems is given by:
Equation
Where,
\(\hat{R}_{S}(t)\) denotes the reliability target on system level,
\(\hat{R}_{i}(t)\) denotes the reliability target on subsystem level, and
\(n\) denotes the number of subsystems.
For example, a reliability target of 0.9 on system level would result in a target of 0.9826 for each sub system, if the system consists of 6 subsystems. If the target on system level is given as failure probability or failure rate the target on subsystem level is obtained from the following equations:
Equation
Where,
\(\hat{F}_{S}(t)\) denotes the failure probability target on system level,
\(\hat{F}_{i}(t)\) denotes the failure probability target on subsystem level, and
\(n\) denotes the number of subsystems.
Equation
Where,
\(\hat{\lambda}_{S}(t)\) denotes the failure rate target on system level,
\(\hat{\lambda}_{i}(t)\) denotes the failure rate target on sub-system level, and
\(n\) denotes the number of sub-systems.
The equal allocation is very easy to apply but does not consider the technical feasibility and experience from similar projects. This could result in very stringent requirements for some subsystem that cannot be achieved or only with increased effort. Thus, it might be necessary to refine the allocation in order to get to a more balanced share between subsystems.
Proportional allocation (ARINC method)
The proportional allocation also known as ARINC method takes historical data on subsystem reliability into account to distribute the reliability to subsystem level. The weighting factor is determined by the ratio of the observed subsystem failure probability to the total system failure probability, as shown in Eq. (1.5.5). The new reliability target is allocated to subsystem proportional to this factor.
Equation
Where,
\(F_{S}(t)\) denotes the failure probability target on system level,
\(F_{i}(t)\) denotes the failure probability target on subsystem level,
\(F_{S.old}(t)\) denotes the historical failure probability on system level,
\(F_{i.old}(t)\) denotes the historical failure probability on subsystem level.
Given that 15% of the system failures are caused by a failure of the power supply subsystem a reliability target of 98,43% is derived for the power supply system using Eq. (1.5.1) to achieve a reliability of 90% on system level, as shown in Table 1.5.11. Please note that in the example the failure probabilities of the subsystem were derived from the minimal cut set approximation to simplify the calculation.
Subsystem |
Weighting Factor wi |
Failure Probability target (approximation) |
Reliability target |
|---|---|---|---|
Power |
0.15 |
0.015 |
0.9843 |
Tele-Command/Telemetry |
0.20 |
0.02 |
0.9791 |
Propulsion |
0.10 |
0.01 |
0.9895 |
Orbit Control |
0.15 |
0.015 |
0.9843 |
Structure |
0.10 |
0.01 |
0.9895 |
Data Communication (Payload) |
0.30 |
0.04 |
0.9689 |
System level |
100% |
0.1 |
0.90 |
Note 8
This table corresponds to a specific example with the predefined weighting factors. It should be adapted to the need and experience of the user.
Feasibility-Of-Objectives (FOO) method
The FOO method allows users to assign grading factors to subsystems and their components in order to determine how reliability targets are cascaded from top level to lower level. A subsystem with high grading factors is allocated a lower reliability than a subsystem with low grading factors. Default grading categories are complexity, technical level (state of art), operating time and environmental condition. Users can change these categories. Each rank is based on a scale from 1 to 10 and is estimated using both design engineering and expert judgment (see [NR_METHODO_1]):
System complexity: Complexity is evaluated by considering the probable number of parts or components making up the sub system and also is judged by the assembled intricacy of these parts or components. The least complex subsystem is rated at 1, and a highly complex subsystem is rated at 10.
Technology level: The state of present engineering progress in all fields is considered. The least developed design or method receives a value of 10, and the most highly developed is assigned a value of 1.
Operating time: An element that operates for the entire mission time is rated 10, and an element that operates the least time during the mission is rated 1.
Environmental conditions are also rated from 10 through 1: Elements expected to experience harsh and very severe environments during their operation are rated as 10, and those expected to encounter the least severe environments are rated as 1.The first stage for this allocation method is to calculate the total grading value for each subsystem. This is obtained by multiplying the grading factors from each category:
Equation
An example for reliability allocation using FOO method is shown in Table 1.5.12. The system level reliability target of 0.9 is distributed to subsystems based on weighting factor obtained from this equation:
Subsystem |
Categories grading values (\(g_{ij}\)) |
(\(g_{ij}\)) |
(\(g_{ij}\)) |
(\(g_{ij}\)) |
Weighting Factor (\(w_i\)) |
Subsystem Target (\(\hat{R}_i(t)\)) |
|---|---|---|---|---|---|---|
Complexity |
Technology level |
Operation time |
Environmental conditions |
|||
Power |
6 |
5 |
5 |
5 |
0.12550 |
0.98686 |
Tele-Command/Telemetry |
6 |
4 |
7 |
6 |
0.16867 |
0.98239 |
Propulsion |
5 |
6 |
5 |
5 |
0.12550 |
0.98686 |
Orbit control |
8 |
8 |
5 |
7 |
0.37483 |
0.96128 |
Structure |
4 |
2 |
10 |
8 |
0.10710 |
0.98878 |
Payload |
7 |
6 |
7 |
2 |
0.09839 |
0.98969 |
System level |
1.0 |
0.90 |
1.5.4.3. Reliability assessment for system architecture development during conceptual design#
The outcome of the conceptual design phase are concepts that will be implemented during the next stages of the system development. The selection of the preferred system architecture is essentially a trade-off among the various architecture options. According to ECSS-E-ST-10C [BR_METHODO_3] a trade-off report should contain the result of the evaluation of every identified alternative design solution with regard to the key technical requirements.
For each alternative design solution, the following should be performed:
Assessment of all the key technical requirements / evaluation criteria,
Presentation of the pros and cons of the design solution, and
Identification of the technical and programmatic risks.
The reliability prediction is an important part of the trade-off studies and could be applied to support system engineering, subsystem engineering and equipment level design engineering. It provides a quantitative assessment of alternative design solutions regarding the achievement of reliability requirements. In the trade-off study, a sensitivity analysis can support system engineering through quantifying how reliability on system level changes if certain parameters change. Importance measures (see Section 9, Part 6 - System of this handbook) could be used to perform such a sensitivity analysis. Furthermore, the reliability prediction for the trade-off should identify the equipment failure modes that significantly impact the system reliability. If the correlation between equipment failure modes and system reliability can be established, the aim of system reliability improvement is to eliminate or significantly reduce these failure modes by improving equipment quality or reconfiguring the system architecture. Different design concepts can cause different types of failure modes. The system designers should be aware of the underlying failure causes to achieve a robust design. To achieve the desired quality, the development process should be accompanied by an appropriate quality assurance procedure, see e.g. ECSS-Q-ST-10C [BR_METHODO_2].
1.5.4.4. Reliability requirement verification for compliance demonstration#
The verification activities should demonstrate that the design and architecture is compliant with the reliability requirements for the corresponding level.
This includes to demonstrate that:
All requirements have been taken into account and that the design is compliant with the requirements.
There is sufficient confidence that the final product will meet the requirements.
There is sufficient confidence in the correctness of the design on system level so that the specification and design of the next lower level can progress.
The verification activities should demonstrate that the design and architecture is compliant with the reliability requirements for the corresponding level. But the verification should also demonstrate that the subsystems on the next lower level are compliant with the requirements for the next lower level. It is important that compliance of each building block with the requirements is substantiated and that potential non-compliances are identified.
For reliability requirements, the verification is performed through quantitative analysis, see Section 9, Part 6 - System of this handbook. To finally demonstrate compliance with the top-level reliability requirements, the final reliability prediction should be performed when the data for the subsystems and component failure behaviour are available. Depending on the performance requirements, a consideration of degraded system operability might be useful.
1.5.4.5. Reliability assessment for lifetime extension and safe disposal#
To support life time extension decisions, the reliability prediction can need to be updated and in particular the reliability of the functions for safe disposal has to be considered to demonstrate compliance with space debris mitigation requirements, see also Section 1.5.3.2.6 of this part.
The following aspects should be considered:
If the life extension exceeds the qualification time, the assumptions made in the beginning of the project have to be revisited.
Degradation can need to be considered for lifetime beyond qualification time.
The result of in-orbit testing and reliability estimation based on in-orbit feedback should be taken into account to support decision on lifetime extension.
It is important to note that the probability of success of safe disposal should be demonstrated already during the design phase as part of the space debris mitigation requirements. The analysis for safe disposal is then reassessed if the lifetime in-orbit is completed and should be further extended if a failure occurred during the lifetime. That means the requirements for safe disposal determine to what extent a lifetime extension is possible.