Risk Analysis of Hydrogen Leakage at Hydrogen Producing and Refuelling Integrated Station
Abstract
:1. Introduction
2. Method and Simulation
2.1. Analysis of Fault Tree Analysis
- (a)
- The first part is the objective or top accident [43]. The target of this research is HL.
- (b)
- The second part is the identification of factors contributing to accidents [44].
- (c)
- The third part is the classification of these factors [45].
- (d)
- The fourth part is the identification of the root cause [25]. These root causes are basic events.
- (e)
- The fifth part is the establishment of causal relationships between all factors by logic gates [43].
- (f)
- (a)
- First, start with the top event and employ the top-down approach to convert the fault tree into equivalent Boolean equations.
- (b)
- Second, two Boolean laws should be applied to eliminate redundancies. Two Boolean laws are the distributive law and the law of absorption.
- (c)
- Third, enumerate all the simplified minimal combinations. These combinations are the minimum cutting set of fault trees.
- (a)
- First, determine all minimum cut sets in the fault tree.
- (b)
- Second, the cutting set in which the basic event will be contained will be determined.
- (c)
- Third, calculate the weight value of each cutting set where the basic event is located. is the total number of basic events in the cut set where the basic event is located.
- (d)
- Fourth, calculate the product of the contributing values for each cutting set.
- (e)
- Fifth, subtract the product of the previous step from 1. In addition, derive the importance degree of the root causes . The formula for calculating the structural importance is given in Equation (1).
2.2. Analysis of Analytic Hierarchy Process
- (a)
- The first step is the objective. This objective is also the target level. The target layer is represented by the letter A. The letter A refers to HL, which will be mentioned.
- (b)
- The second step is the intermediate factors that affect the objective. The origins of intermediate factors are derived by categorising the results of the FTA analysis. Intermediate factors are refinements and decompositions of the objective. These are independent of each other and comprehensively cover all aspects affecting the objective. The standardised layer is also the set of all intermediate factors. The standardised layer is represented by . is the total number of intermediate factors.
- (c)
- The third step is the specific solution. The index layer is also the set of all specific options. The index layer factors are represented by ; . is the total number of factors in the index layer where intermediate factor is located.
- (d)
- The fourth step is to arrange the objective, the intermediate factors and the scheme in an order from the top to the bottom.
- (e)
- The fifth step is the formation of a structural model.
- (f)
- The sixth step is to establish relationships between objective and intermediate factors and between intermediate factors and scheme by lines.
- (g)
- The seventh step is to form a hierarchy, as illustrated in Figure 3.
- (a)
- (b)
- The second step is the determination of comparison values. When the intermediate factor is a , the schemes are , , …, . If and are both the scheme of , then comparison value is . And is the scheme of , is the other scheme of , then comparison value is or . The comparative values are determined based upon comparative scales, (, , …, ), (, , …, ).
- (c)
- The third step is the derivation of the other values of the scheme on ( = 1, 2, …, ), in turn, as the fourth step. The matrix is obtained as follows: Equation (3). These matrices are known as JM.
- (a)
- The first step is to obtain the largest eigen-root of each JM, where the intermediate factor is located by mathematical calculation [50].
- (b)
- The second step is the calculation of CI, as follows in Equation (4), and is the matrix order.
- (c)
- Finally, the CR is calculated through Equation (5). Based upon the order of the JM, the corresponding RCI value is obtained from the table of RCI, as presented in Table 3.
- (a)
- The first step is to calculate the sum of the absolute values on each row element. The value of the sum is denoted by . is the JM row count. is shown in Equation (6).
- (b)
- The second step is to carry out the normalisation, and the normalised matrix is represented by , as presented in Equation (7). .
- (c)
- The third step is the determination of the weight vector of [59], as presented in Equation (8).
- (d)
- The fourth step is to take the value of , , …, . , and other values of can be calculated in a similar way.
- (e)
- The fifth step is the determination of the weight values of the scheme, that is, .
2.3. Simulation by Areal Location of Hazardous Atmosphere
- (a)
- The initial part is to specify the city in which the chemical release takes place, together with the exact date and time.
- (b)
- The second part is about extracting chemicals from ALOHA’s chemical information database. Extract hydrogen from ALOHA’s chemical database, which is none other than CAMEO Chemicals 3.0.0.
- (c)
- The third step is to enter details pertaining to the prevailing weather conditions. Enter the parameters that indicate weather conditions, including wind speed, wind direction, temperature, humidity, and environment.
- (d)
- The fourth part is to provide a description of how the chemical substance manages to escape from the containment. Configure the type and storage status of the storage tank, along with the location and size of the leak port. The relevant parameters are presented in Table 4. Choose the type of dispersion calculation for ALOHA.
- (e)
- The fifth part involves instructing ALOHA to generate a threat-zone map. This map delineates regions where one or multiple hazards, such as toxicity, inflammability, thermal radiation, or destructive overpressure, have the potential to surpass the critical level of concern (LOC). These areas can pose a notable threat to both human lives and property.
- (f)
- In the sixth part, ALOHA is capable of presenting this threat-zone map on the MARPLOT®-supplied electronic map of the city where the incident took place.
- (a)
- Input the date and time when the accident occurred.
- (b)
- Input the latitude, longitude, and altitude of the accident site to enable precise positioning on the satellite map. Specifically, we have selected a HPRIS situated in Dalian City, Liaoning Province, PR China. Its geographical coordinates are the location and the altitude of the storage tank in Table 4.
- (c)
- Identify the type of building that the toxic gas release might penetrate.
- (a)
- It is of utmost necessity to have detailed information concerning local atmospheric conditions, the attributes of chemicals, and the leakage scenarios.
- (b)
- ALOHA is designed to provide a close upper bound to the threat distances associated with chemical spills. Wherever uncertainty is unavoidable, ALOHA will err in favour of overestimating rather than underestimating threat distances. In some cases, ALOHA will notably overestimate threat zones.
- (c)
- Typical scales for threat zones are in the range of 102 to 105 m, with durations of up to an hour.
- (a)
- Given that the density of hydrogen is lower than that of air, the Gaussian model is selected by default.
- (b)
- Given that the HPRIS is in a suburban area, a bungalow-type building has been chosen.
Condition | Parameter |
---|---|
Location (latitude and longitude) | 121.77° E, 39.17° N. |
Altitude of the storage tank | 72 m |
Storage tank ambient temperature | 29 °C |
Relative humidity | 87% |
Tank diameter | 4 m |
Tank height | 5 m |
Tank number | 4 |
Storage pressure | 45 MPa |
Leakage hole shape | Circular |
Leakage hole diameter | 10 mm |
3. Results and Discussion
3.1. Assessment of FTA for Hydrogen Leakage
3.1.1. Analysis Regarding the Importance of a Degree in Basic Events
3.1.2. Analysis Regarding the Probabilistic Importance in Basic Events
3.2. Assessment of AHP for Hydrogen Leakage
3.2.1. Construction Model and Judgment Matrix of AHP
3.2.2. Consistency Test of Judgment Matrix
3.3. Simulation of Hydrogen Storage Tank Leakage Dispersion
3.3.1. Impact Zones of Ambient Wind Speed on HL for Hydrogen Storage Tanks
3.3.2. Impact Zones of Ambient Wind Direction on HL for Hydrogen Storage Tanks
3.4. Prevention Countermeasures of HL for HPRISs
3.4.1. Technical Measures
- (1)
- The implementation of a heat conduction model is required to model and analyse the heat distribution of critical equipment to detect potential hotspot areas. Temperature monitoring methods and systems for core equipment, such as compressors, need to be developed with the aim of detecting potential hot spots. The relevant technologies have already been implemented in the temperature monitoring of photovoltaic modules.The basic principle of this technology is as follows [96]:
- (a)
- The utilisation of infrared thermal imaging and visible light image acquisition.
- (b)
- The conduction of spatial registration and preprocessing by the edge computing unit, obtaining standardised temperature data, and storing the historical data set.
- (c)
- The performance of a wavelet transforms on the historical data and combining graph convolution with deep neural networks to train a temperature prediction model.
- (d)
- The entrance of the standardised and predicted temperature data into models like hierarchical clustering to identify abnormal areas.
- (e)
- The entrance of the characteristics of these abnormal areas and comparing them with historical fault data.
- (f)
- The diffusion range is calculated through graph neural networks and other methods.
- (g)
- The generation of early warning information through fuzzy inference.
- (h)
- The early warning information is sent to the operation and maintenance platform, thus achieving comprehensive and intelligent temperature monitoring and fault warning.
- (2)
- Utilisation of a highly efficient cooling system [97], such as mixed refrigerant refrigeration or pre-cooling refrigerants, should be essential for maintaining the equipment within a safe operating temperature range. The adoption of a mixed refrigerant cooling system is recommended to ensure the equipment operates within a safe temperature range. The system achieves efficient temperature control by optimising the composition ratio, or pre-cooling refrigerants like liquid nitrogen can be applied as auxiliary coolants. The refrigeration system is utilised to achieve cooling during the hydrogen compression and refuelling process.The basic principle of this technology is as follows [98].
- (a)
- A heat exchange jacket is installed on the outside of the 20 and 45 MPa gas cylinder groups. The heat exchange jacket is connected to a cooling tower through a circulating pipe and a water pump. The connection is applied to cool and insulate the hydrogen in the gas cylinder groups, thus alleviating the temperature rise during compression.
- (b)
- The hydrogen enters the first-stage compressor through the hydrogen buffer tank for pressurisation and, after being pre-cooled by the first-stage cooler, it is stored in the 20 MPa gas cylinder group. Then, it is pressurised again by the second-stage compressor and, after being pre-cooled by the second-stage cooler, it is stored in the 45 MPa gas cylinder group.
- (c)
- A hydrogen refuelling cooler is installed on the pipeline connecting the 45 MPa gas cylinder group and the hydrogen dispensers, and the hydrogen is cooled as needed during hydrogen refuelling. All links work together to ensure the safety of hydrogen refuelling.
- (3)
- The implementation of a modern automation control system employing logic control and preset parameters is necessary to automate key operations [99]. This approach is able to curtail manual intervention and mitigate the risk of leakage caused by human error.
3.4.2. Management
- (1)
- Human factorsThe measures of reducing manual intervention are as follows.
- (a)
- During the facility planning phase, it is essential to implement cross-departmental collaborative training. This measure aims to guarantee that both the design team and the operation team share a unified comprehension regarding environmental variables and layout optimisation.
- (b)
- The automation system should be designed with ergonomic principles to ensure easy operation of the man-machine interface and diminish operator fatigue. Meanwhile, operators should be provided with regular training on their operation skills to enhance their emergency response capabilities.
- (c)
- The establishment of a specialised training program that covers thermal conduction, cooling system equipment operators, material properties, equipment replacement plans, and so on. Specifically, for special types of work, the annual training hours should be no less than 20 h.
- (2)
- The environmental risk of hydrogen leakage. The installation of temperature sensors and the implementation of a data monitoring system are imperative for monitoring equipment temperature changes. Upon abnormal temperature increases, the cooling mechanism should be automatically activated to effectively mitigate the upward trend of hydrogen pressure. Concentration sensors should be arranged in a circular formation, with the centre being the highest temperature heat source point and the radius being the minimum ignition distance.The arrangement of sensors is as follows:
- (a)
- For the main risks of hydrogen energy facilities, the sensor arrangement follows the high-risk priority principle. Hydrogen leakage sensors are placed around hydrogen storage tanks, purification devices, and pressure relief devices to form closed-loop monitoring.
- (b)
- Pressure sensors are set at key pipeline nodes and high-pressure areas.
- (c)
- Temperature sensors cover the outer walls of storage tanks, refrigeration systems, and hot spots.
- (d)
- Hydrogen concentration sensors are arranged in a circular layout around hot spots.
- (e)
- Vibration sensors are applied for compressors and high-frequency equipment.
- (f)
- Material ageing sensors are installed at pipeline connection points and equipment surfaces. Flow sensors are placed at refrigerant pipeline inlets and outlets.
4. Conclusions
- The qualitative analysis of minimal cut sets, minimal path sets, and degree of importance in FTA of HL indicated that the accident tree contained 14 minimal cut sets and 8 minimal path sets. It also revealed that material ageing, inadequate maintenance, misoperation, and improper design were vital quantitative factors that led to HL accidents.
- The results generated from the quantitative analysis of probability importance in FTA of HL suggest the top four risk factors of misoperation, material ageing, poor maintenance, and improper design.
- Based upon the results obtained from the model designed for the accident hierarchy analysis for HL events and the weight calculation of index layer factors made. Clearly, heat, misoperation, inadequate maintenance, and valve failure are noticeable contributors to accidents as well.
- By comparing the results of FTA and AHP, the FTA method emphasises factors related to accident occurrence, relying on fault tree logic for causal analysis. The AHP employs expert scoring and weight calculations, where heat is the most notable factor (with a weight of 0.833). By combining the two methods, the traits of FTA are retained, and the subjective assessment of AHP is incorporated. This combination can identify additional crucial factors.
- By referring to the ALOHA analysis of the uncontrollable factor, ambient wind, on the HL gas cloud of HPRISs, it was found that the wind speed and direction primarily influenced the horizontal diffusion distance and diffusion direction of the gas cloud. The greater the wind speed, the closer the horizontal distance of HL gas. Three hydrogen-related equipment areas were identified as the key monitoring areas within HPRISs. Downwind of the hydrogen storage tanks, hydrogen production facilities upwind, and ignition area are also the centre of point management. Moreover, HPRISs need to arrange hydrogen concentration sensors in some zones. Among the scenarios considered were the furthest distance where hydrogen is most likely to ignite and the corners of the area where hydrogen accumulation is most likely to occur.
- Based upon the risk analysis made of FTA, AHP, and ALOHA, the findings suggest preventive and control measures at the HPRISs. These measurements are as follows: Utilising infrared thermal imaging and visible light image acquisition in the heat conduction model. A hydrogen refuelling cooler will be installed on the pipeline connecting the 45 MPa gas cylinder group and the hydrogen refuelling machine. A programmable control subsystem to activate the fire extinguishing device, enabling the nozzle to release carbon dioxide (CO2). Hydrogen leakage sensors, purification devices, and pressure relief devices should be placed around hydrogen storage tanks to form closed-loop monitoring. Installing material ageing sensors at pipeline connection points and equipment surfaces. Placing flow sensors at refrigerant pipeline inlets and outlets.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
Acronyms | |
AHP | Analytic hierarchy process |
CFS | Combined fuelling station |
CI | Consistency index |
CR | Consistency ratio |
FTA | Fault tree analysis |
FT | Fault tree |
HL | Hydrogen leakage |
HPRISs | Hydrogen-producing and refuelling integrated stations |
HRSs | Hydrogen refuelling stations |
JM | Judgment matrix |
QRA | Quantitative risk assessment |
RCI | Random consistency index |
Symbols | |
The basic events. . | |
The intermediate events. . | |
The symbol of intermediate factors in standardised layer. . | |
The symbol of factors in the index layer factor. | |
The total number of intermediate factors. | |
The total number of factors in the index layer where intermediate factor is located | |
or | The comparison value. |
The sum of the absolute values on each row element. | |
The judgment matrix where the intermediate factor is located. | |
The result of normalising matrix . | |
The weight vector of . | |
The symbol of partial derivative. | |
The sum of the products of the elementary events of each minimal cut set. | |
The symbols probabilistic importance of each basic event. | |
Importance degree in each basic event. | |
The total number of basic events in the cut set where the basic event is located. | |
Matrix order. | |
Maximum eigenvalue. | |
The product of the contributing values for each cutting set. |
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FTA | The accident causation is depicted by a tree diagram [25,26]. |
FTA has simple operability and convenient utilisation. FTA can systematically and comprehensively identify the paths that cause malfunctions [27]. | |
FTA is graphic and very clear [28]. | |
QRA | The focus is on the quantification of risk levels [29]. |
AHP | The focus is the assessment of the relative weight of multiple criteria or multiple options. Furthermore, a pairwise comparison was applied to quantify subjective judgements [30,31]. |
The focus is priority ranking of importance on key factors. It also focuses on the multiple decision-making [32]. | |
Bayesian networks | The accident causation is depicted by graph theory and probability theory [33]. |
It encompasses prior information and the construction of conditional probability distributions, which is relatively complex [34,35]. |
Scale | Implication |
---|---|
1 | Factor i was parallel with factor j. |
3 | Factor i was slightly more important than factor j. |
5 | Factor i was notably more important than factor j. |
7 | Factor i was much important than factor j. |
9 | Factor i was absolutely important with factor j. |
2, 4, 6, and 8 | Intermediate value of above five values. |
Matrix order | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
RCI | 0 | 0 | 0.58 | 0.90 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 | 1.49 |
Symbol | Event Type | Symbol | Event Type |
---|---|---|---|
T | Hydrogen leakage | Switch failure | |
Overpressure | Compressor failure | ||
Overcooling | Bleeder mal-functioning | ||
Purification unit leakage | Refrigerant pipeline clogging | ||
Overfilling | Pump default | ||
Safety relief device leakage | Reactor coolant deficiency | ||
Pressure relief device failure | Wrong parameter setting | ||
Filling instruction signal reception failure | Sensor failure | ||
Cooling system failure | Actuator failure | ||
Control system failure | Misoperation | ||
Heat | Inadequate maintenance | ||
Valve failure | Material ageing | ||
Improper design |
No. | Minimum Cut Set | No. | Minimum Cut Set | No. | Minimum Path Set |
---|---|---|---|---|---|
1 | 9 | 1 | |||
2 | 10 | 2 | |||
3 | 11 | 3 | |||
4 | 12 | 4 | |||
5 | 13 | 5 | |||
6 | 14 | 6 | |||
7 | 7 | ||||
8 | 8 |
Symbol | Event Type | Basic Event Failure Probability | Symbol | Event Type | Basic Event Failure Probability |
---|---|---|---|---|---|
Heat | 1.00 × 10−7 | Reactor coolant deficiency | 6.89 × 10−4 | ||
Valve failure | 9.30 × 10−6 | Wrong parameter setting | 4.80 × 10−3 | ||
Improper design | 6.00 × 10−5 | Sensor failure | 8.96 × 10−4 | ||
Switch failure | 9.30 × 10−6 | Actuator failure | 7.45 × 10−4 | ||
Compressor failure | 1.40 × 10−6 | Misoperation | 1.00 × 10−2 | ||
Bleeder malfunctioning | 0 | Inadequate maintenance | 1.00 × 10−4 | ||
Refrigerant pipeline clogging | 4.73 × 10−3 | Material ageing | 4.00 × 10−4 | ||
Pump default | 6.40 × 10−5 |
Probability Importance | Probability Importance | Probability Importance | |||
---|---|---|---|---|---|
1.1980 × 10−16 | 0 | 5.3940 × 10−3 | |||
1.2883 × 10−19 | 6.3600 × 10−3 | 5.3932 × 10−3 | |||
9.8947 × 10−1 | 6.3300 × 10−3 | 9.9941 × 10−1 | |||
1.2882 × 10−19 | 6.3340 × 10−3 | 9.8951 × 10−1 | |||
8.5574 × 10−19 | 5.4151 × 10−3 | 9.8981 × 10−1 |
Consistency Test | ||||
---|---|---|---|---|
Maximum eigenvalue () | 2.000 | 8.681 | 2.000 | 3.030 |
Matrix order () | 2.000 | 8 | 2.000 | 3 |
Random consistency index (RCI) | 0 | 1.410 | 0 | 0.580 |
Coincidence indicator (CI) | 0 | 0.097 | 0 | 0.015 |
Coincidence ratio (CR) | 0 | 0.069 | 0 | 0.026 |
Element of Standardised Layer | Factor of Index Layer | Weight | |
---|---|---|---|
Operators | X3 | Improper design | 0.250 |
X13 | Misoperation | 0.750 | |
Machine | X2 | Valve failure | 0.311 |
X4 | Switch failure | 0.255 | |
X5 | Compressor failure | 0.058 | |
X8 | Pump default | 0.080 | |
X11 | Sensor failure | 0.075 | |
X12 | Actuator failure | 0.128 | |
X15 | Material ageing | 0.064 | |
X6 | Bleeder malfunctioning | 0.029 | |
Medium | X1 | Heat | 0.833 |
X7 | Refrigerant pipeline clogging | 0.167 | |
Management | X9 | Reactor coolant deficiency | 0.063 |
X10 | Wrong parameter setting | 0.265 | |
X14 | Inadequate maintenance | 0.672 |
FTA | AHP |
---|---|
Misoperation (9.9941 × 10−1) | Heat (0.833) |
Material ageing (9.8981 × 10−1) | Misoperation (0.750) |
Inadequate maintenance (9.8951 × 10−1) | Inadequate maintenance (0.672) |
Improper design (9.8947 × 10−1) | Valve failure (0.311) |
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Qu, J.; Zhou, T.; Zhao, H.; Deng, J.; Luo, Z.; Cheng, F.; Wang, R.; Chen, Y.; Shu, C. Risk Analysis of Hydrogen Leakage at Hydrogen Producing and Refuelling Integrated Station. Processes 2025, 13, 437. https://doi.org/10.3390/pr13020437
Qu J, Zhou T, Zhao H, Deng J, Luo Z, Cheng F, Wang R, Chen Y, Shu C. Risk Analysis of Hydrogen Leakage at Hydrogen Producing and Refuelling Integrated Station. Processes. 2025; 13(2):437. https://doi.org/10.3390/pr13020437
Chicago/Turabian StyleQu, Jiao, Ting Zhou, Huali Zhao, Jun Deng, Zhenmin Luo, Fangming Cheng, Rong Wang, Yuhan Chen, and Chimin Shu. 2025. "Risk Analysis of Hydrogen Leakage at Hydrogen Producing and Refuelling Integrated Station" Processes 13, no. 2: 437. https://doi.org/10.3390/pr13020437
APA StyleQu, J., Zhou, T., Zhao, H., Deng, J., Luo, Z., Cheng, F., Wang, R., Chen, Y., & Shu, C. (2025). Risk Analysis of Hydrogen Leakage at Hydrogen Producing and Refuelling Integrated Station. Processes, 13(2), 437. https://doi.org/10.3390/pr13020437