Submitted:
25 February 2025
Posted:
26 February 2025
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Abstract
In the present paper subject of the investigations is the reliability assessment of the single-stage reversible Hydropower Unit No. 3 (HU3) in the Bulgarian Pumped Hy-dro-Electric Storage (PHES) plant “Chaira”, which processes the waters of the “Belmeken” dam and “Chaira” dam. Preceding destruction of HU4 and its virtual simulation, analysis and the conclusions for the rehabilitation and safety provided the information for the possible processes in HU3. Detailed analysis of the consequences of prolonged use of HU3 was carried out. The Supervisory Control and Data Acquisition (SCADA) system records were studied. Fault Tree Analysis (FTA) is applied to determine the component relationships and subsystem failures that can lead to an undesired primary event. The functional structure of the system was depicted as a causal chain of failure effects. The probability of system failure was estimated based on the failure probabilities of the primary events. The effects of static loads, dynamic loads and low-cycle loads were investigated. Based on the experience and the investigations of the HU4 and its damages, as well as of the failures in the stay vanes of HU3 it is recommended to organize monitoring for water ingress into the drainage holes, which will allow detecting failures in a timely manner.
Keywords:
1. Introduction
2. Materials and Methods
2.1. Risk Analysis. Essence
2.2. Methodology Used for Analysis of Failures and Their Effects
- S (severity, criticality) assesses the degree of significance of the failure;
- O (occurance, failure intensity) assesses the likely occurrence of such a failure;
- D (detection, detectability) represents the probability of detecting the cause of the failure.
- RPN values up to 40 indicate low risk (no need for corrective actions);
- RPN values in the range 40 ÷ 100 indicate moderate risk (certain actions are needed to improve the study object);
- RPN values above 100 are classified as unacceptable risk (urgent actions are needed).
3. Results
3.1. Fault Tree Analysis of the HU3 of PHES “Chaira”
- Primary failure (failure of a component under normal operating conditions);
- Secondary failure (failure of a component as a result of secondary failure from a primary failure or as a result of extreme operating conditions);
- Errors as a result of incorrect operation or misuse.
-
Primary failures/shutting out (PF):
- ○
- PF1: Crack formation on the faces of up to three stay vanes due to low-cycle material fatigue;
- ○
- PF2: Crack formation on the faces of more than three stay vanes due to low-cycle material fatigue;
- ○
- PF3: Violation of the bond between concrete and spiral casing leading to a backlash.
-
Secondary failures/shutting out (SF):
- ○
- SF1: Failure of up to three stay vanes;
- ○
- SF2: Failure of all stay vanes;
- ○
- SF3: Significant deformations in the spiral casing;
- ○
- SF4: Increased load on the lower and upper covers;
- ○
- SF5: Increased load on the bolted connections of the covers, due to their overloading by bending moment.
-
Effects because of failures (EFF):
- ○
- EFF1: Deteriorated guide vanes bearing – violation of clearance and coaxiality between the guide vanes and the bearings, leading to difficult closing (switching off) of the vanes control;
- ○
- EFF2: Deteriorated runner to spiral casing clearance – violation of clearance between the runner and the spiral casing and possible mutual contact;
- ○
- EFF3: Damaged bolted connections of covers – destruction of bolted connections of the covers, due to their overloading by bending moment;
- ○
- EFF4: Cracks in the concrete – cracking of the concrete, due to overloading of the spiral casing and total failure of the stay vanes.
3.2. Analysis of Failures in the Stay Vanes of HU3 and Their Effects
- G1: Nominal generator mode – mode of the system operation as a generator in a steady state;
- G2: Peak loads in the generator mode – process of switching to a nominal generator mode for which the loads on the runner and the entire structure increase;
- P1: Nominal Pump mode, - mode of operation of the system as a pump in a steady state;
- P2: Peak loads in the pump mode – process of switching to a nominal pump mode for which the loads on the runner and the entire structure increase;
- P3: Pump mode when runner spins – mode in which the runner spins infor a closed system until the required speed and pressure are reached;
- A1: Drop of the load mode – sudden loss of load on the runner leading to an increase of the rotation speed;
4. Discussion
5. Conclusions
- regular inspection and planned repairs be to provided;
-
units that cannot be surveyed visually must be equipped with sensors and control devices, these are
- ○
- the guide vanes and their welding places;
- ○
- the water ingress in the bearings;
- ○
- the gap between the concrete and the spiral casing;
- ○
- the deflections of the bolts of the upper and the lower covers;
- ○
- the stresses in the spiral casing;
- monitoring for water ingress into the drainage holes should be organized.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Level | Description | Rating (S) |
|---|---|---|
| None | No effect on components | 1 |
| Minor | Minor effect on the system | 2 |
| Very low | Slightly pronounced impact on the system | 3 |
| Low | Low level of criticality regarding the functioning of the system | 4 |
| Average | The system is functioning, with broken parameters | 5 |
| High | Reduced system functionality | 6 |
| Very high | Loss of important system functions | 7 |
| Dangerous | Functions are lost, leading to potential danger to users | 8 |
| Very dangerous | Potentially dangerous system condition, with indications allowing preventive action | 9 |
| Extremely dangerous | System condition with possible critical impacts on personnel, without possibility of detection and prevention | 10 |
| Intensity | Probability | Rating (O) |
|---|---|---|
| Extremely low | ≤1∙10-5 | 1 |
| Low | 1∙10-4 | 2 |
| Average grade | 5∙10-4 | 3 |
| 1∙10-3 | 4 | |
| 2∙10-3 | 5 | |
| High degree (repeatability) | 5∙10-3 | 6 |
| 1∙10-2 | 7 | |
| 2∙10-2 | 8 | |
| 5∙10-2 | 9 | |
| Very high degree | ≥1∙10-1 | 10 |
| Grade | Description | Rating (D) |
|---|---|---|
| Very high | Very high probability of failure detection | 1 |
| High | High probability of failure detection | 2 |
| Relatively high | Relatively high probability of failure detection | 3 |
| Medium | Average probability of detecting failure | 4 |
| Relatively low | Relatively low probability of detecting the potential cause/mechanism of failure | 5 |
| Low | Low probability of detecting the potential cause/mechanism of failure | 6 |
| Very low | Very low probability of detecting the potential cause/mechanism of failure | 7 |
| Weak | Weak probability of detecting the potential cause/mechanism of failure | 8 |
| Very weak | Very weak probability of detecting the more potential cause/mechanism of failure | 9 |
| Impossible | Inability to establish the refusal | 10 |
| Effect of refusal | Mode | Effect | Mark |
|---|---|---|---|
| ЕО1: Violation of the clearance and alignment between the guide vanes and bearings leading to difficult or no control | P1/P2/ | Strong vibrations in the structure; Water appearing in the service area through drainage holes in the stay vanes. |
ЕО1.1 |
| G1/G2 | Strong vibrations in the structure; Water appearance in the service area through drainage holes in the stay vanes; Difficulty for closing the water flow and switching off the machine |
ЕО1.2 | |
| А1 | Strong vibrations in the structure; Water appearing in the service area through drainage holes in the stay vanes; Rapid increase of the machine rotation frequency and danger of exceeding critical ones, leading to destruction; Serious damage to the electrical part of the system |
ЕО1.3 | |
| ЕО2: Violation of the clearance between the runner and the spiral casing and contact | G1/G2/P1/P2/А1 | Strong impacts to the structure; Water in the service area; Risk of destruction of the runner bearing; Possible mechanical damage to the spiral casing and the runner |
ЕО2 |
| ЕО3: Destruction of bolted connections of the covers due to overloading by bending moment | G1/G2/P1/P2/А1 | Strong impacts to the structure; Massive water ingress into the engine room; Difficult or impossible closing of the guide vanes |
ЕО3 |
| ЕО4: Cracking of the concrete due to overloading of the spiral casing and broken integrity of the stay vanes | G1/G2/P1/P2/А1 | Severe deformations in the structure; Difficult or impossible closing of the guide vanes Danger of destruction of the runner bearing; Serious damages to the electrical part of the system |
ЕО4 |
| Failure effect | Criticality (S) | Intensity (O) | Detectability rate (D) | RPN |
| ЕО1.1 | 2 | 2 | 6 | 24 |
| ЕО1.2 | 3 | 2 | 6 | 36 |
| ЕО1.3 | 8 | 2 | 2 | 32 |
| ЕО2 | 6 | 2 | 1 | 12 |
| ЕО3 | 10 | 1 | 2 | 20 |
| ЕО4 | 9 | 2 | 1 | 18 |
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