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Article

Traffic Capacity Assessment of the Selected Track Section on the Slovak Railways Network after the Implementation of ETCS L3 Based on Signaling Principle

1
Department of Railway Transport, University of Žilina, Univerzitná 1, 01026 Žilina, Slovakia
2
Department of Transport and Logistics, Faculty of Technology, Institute of Technology and Business in Ceske Budejovice, Okružní 10, 37001 České Budějovice, Czech Republic
3
Department of Transport Technology and Control, University of Pardubice, Studentská 95, 53210 Pardubice, Czech Republic
*
Author to whom correspondence should be addressed.
Appl. Sci. 2022, 12(11), 5597; https://doi.org/10.3390/app12115597
Submission received: 22 March 2022 / Revised: 27 May 2022 / Accepted: 27 May 2022 / Published: 31 May 2022
(This article belongs to the Section Transportation and Future Mobility)

Abstract

:
In the field of railway operation, it is essential to establish uniform conditions for interconnectivity requirements and compatibility of equipment in the Pan-European railway area to ensure effective interoperability. It also includes, for example, the introduction of a control system with modern and advanced interlocking systems (safety devices). The European Train Control System (ETCS) is a single European train protection system that will increase safety in rail transport. Nevertheless, this system may have an impact on the throughput on those railway lines where it is applied. The main research objective is to determine the impacts and effects of the configuration of track signaling equipment on the operational management of traffic and especially on the creation of a traffic plan. The optimization of transport processes on the railway infrastructure means creating the conditions for achieving higher throughput performance, especially including a higher number of train paths into the train traffic diagram. This paper examines and compares the impacts of ETCS and its levels (in particular ETCS L3) on the practical throughput of the selected national infrastructure manager. A heuristic procedure is used with the application of the analytical methodology of the Railways of the Slovak Republic (ŽSR), which uses the principles of mathematical statistics and probability. Significant comparative indicators are occupancy times and the degree of utilization of practical throughput. These are used in investment decisions in the modernization of line sections to achieve interoperability of the railway system.

1. Introduction

Rail transport occupies a significant position in Europe, offering the diversity of the infrastructure network. It provides a low-cost, long-term sustainable and especially ecological way of transporting passengers and goods practically over various long distances. Railways often become the main artery for the flow of freight and passenger traffic at the national and international level with gradual electrification, modernization, and construction. However, within transnational transport, railways become less flexible, and carriers have to overcome operational problems in the form of national interlocking systems for individual national railway infrastructure managers [1].
The European Union has established a single procedure to address these problems for all Member States by introducing a single European train control system—ETCS. This process began with the establishment of a core network of ETCS-equipped corridors across the countries of the European Union based on strategy papers. These corridors respect the network of TEN-T corridors that were established earlier. The unification of the signaling system will contribute to the operational interoperability and acceleration of traffic on these lines. Rail transport will become more competitive than other modes of transport. The individual stages of the ERTMS/ETCS track-side equipment are divided into the following application levels [2]:
  • L0—zero application level referred to as ETCS L0;
  • L NTC—application level referred to as ETCS NTC;
  • L1—first application level referred to as ETCS L1;
  • L2—second application level referred to as ETCS L2;
  • L3—third application level referred to as ETCS L3;
  • L3 R—application level referred to as ETCS L3 Regional.
The new ETCS system has both positive and negative effects on rail transport. Although it increases safety on railway lines where it is applied, it can also directly affect the permeability of railways. Berger et al. [3] presented ERTMS system as a standard for railway across Europe and complex real-time system that guarantees safety at all times. Ghazel [4] described the necessity of level-crossing safety in the ERTMS L2/3 operation context. In this paper, we examine and compare the impacts of the ETCS system on a selected section of the line using methods for calculating the practical throughput on ŽSR lines [5]. A similar issue of applying ETCS L2 system to the main rail passenger lines was discussed in Danish infrastructure [6].
When we compare ETCS with the automatic block, we find that there are more problems with the practical throughput of the particular railway line sections equipped with ETCS. In the case of the practical throughput determination, the line (spatial) sections are assessed according to the braking distance, which can ultimately reduce the throughput. The principle of this problem is shown in Figure 1.
ETCS application level 1 without additional means (Euroloop, in-fill radio) does not allow for achieving this line throughput as some modern national systems (CIR-ELKE2). The reason is the use of only point transmission of information between the track and vehicle part of the system. Additionally, during the deployment, vehicles or lines must be equipped with both systems (ETCS and national train protection), which increases costs.
In this paper, we examine and compare the impacts of the ETCS system on a selected section of the line using methods for calculating the practical throughput on ŽSR lines [7].
At the end of 2017, 4500 km of the main corridor network and more than 7000 vehicles equipped with the ETCS mobile unit were operational in accordance with ERTMS (European Rail Traffic Management System) [8]. European legislation is constantly implementing new directives and constantly amending older ones to make ERTMS an integral part of the European Railway Area. Directive 2017/6/EC set new targets for the deployment of ERTMS by 2023. This directive stipulates that 30–40% of the core network of corridors will be equipped in accordance with the ERTMS project. Particular attention is given to the individual cross-border interconnection of individual national infrastructures to increase the efficiency of operations on a transnational scale. Figure 2 shows the ETCS corridors network. The sections equipped with ERTMS/ETCS until 2023 are marked in green [8].

2. Materials and Methods

This section lists several materials (publications, studies, thesis, etc.) that were studied and from which this research is based. The methods used are described as follows.

2.1. Materials

There are many specific features and methods used in transport processes and railway infrastructure capacity optimization. Whereas these are stochastic processes that contain many random features, it is important to know and explore the best-known stochastic methods. Consequently, these methods can inspire creation of new methods, methodological and heuristic procedures, and other scientific outputs. For example, the employment of Monte Carlo experiments is described in [9]. This method can be used in physical and mathematical problems (it is the most useful method in cases when it is difficult or impossible to use other approaches). A practical application of the methods for optimizing the fleet capacity is presented.
Infrastructure planning is also very important for the traffic service determination. These problems are related to capacity issues. More details of the railway infrastructure capacity estimation are in [10]. A model of the transport capacity of the railway infrastructure is described, based on the types of wagons used. The methods used and results reported for the capacity analysis of the network timetable are described in detail in order to identify the critical issues [11]. Multiple stochastic simulations and the consistency of recent stress-test simulations are also explained. The next paper presents the characteristics of that segment of the Czech railway network from the perspective of all scopes evaluated within a specific research project of the Czech Technical University in Prague (CTU), Faculty of Transportation Sciences. A general multibranch categorization of regional lines is proposed, arising from their technical and economic parameters, and a potential for traveling [12].
Another useful publication [13] reviews research into railway vehicle circulation, where the main topics are progressive methods of vehicle and bus-driver scheduling. Mathematical approaches of bus-driver scheduling are the main field of the research where the author describes some mathematical algorithms used to optimize the scheduling. A very interesting article [14] is concerned with the question of whether the introduction of innovative and smart technologies can guarantee the sustainability of future transport processes and passenger transport.
There are also wide range of publications and studies that examine the issue of railway capacity. For example, [15] presents a pricing model of railway infrastructure capacity allocation that functions as a regulatory measure while fulfilling regulatory requirements on railway infrastructure capacity allocation. The aim of the proposed model is to motivate not only railway undertakings, but also the railway infrastructure capacity allocator to submit requests for railway infrastructure capacity in an annual working timetable mode rather than in an individual ad hoc mode.
The next paper [16] describes testing of railway infrastructure capacity in a computer-based simulation model, which provides results for further research into this issue. To relate a maintenance function to the capacity situation, a fuzzy inference system is used for aggregating selected railway infrastructure performance indicators in [17]. The selected indicators consider the safety, comfort, punctuality, and reliability aspects of railway infrastructure performance. Some very useful information and advanced and progressive features about railway infrastructure are described in publications [18,19].
The ETCS has been a very important topic in recent years. Its system structure and working principles are presented in [20]. Redundant train–distance measurement strategies are adopted to ensure its availability. The safety performance of the overall system is evaluated, and it is compared with ETCS-2. Some very interesting and useful information is provided in [21], where differences between ETCS for 1435 and 1520 mm railway gauges are presented. Technical problems and proposed solutions regarding ETCS implementation in the Baltic states are described. Finally, we drew some scientific and professional knowledge from the contributions focused on transport and economic processes. In addition to the stationary track-side part of the ETCS system, ETCS mobile equipment is also necessary. The scope of this article is to point out the possibility of increasing practical throughput, while the choice of the right means of transport is also important. Using tilting units in service can reduce travel times on the railway track section [22].
Correct setting of train path allocation within the use of railway infrastructure capacity is a basic assumption for a functioning ETCS system. Decision-making is also very important process [23]. The efficiency of using traffic routes is based on correct optimization of combined routes in order to maximize the indicator of the use of rides [24]. Transport process settings also depend on an effective management approach related to monitoring the flows in railway sector [25]. However, there are still many unexplored elements and features in railway infrastructure capacity and new ETCS variants implementation. Therefore, this contribution examines the implementation of the most modern ETCS L3 variant for conditions of the selected Slovak railway line.

2.2. Methods

The procedure for solving this problem was implemented by using currently existing scientific methods, which are employed in the field of railway infrastructure capacity calculations. The proposal part is largely based on the heuristics, which include methods offering and discovering new ways of solving problems and inventing certain new contexts. It is a scientific activity based on a “discovery” procedure, which usually starts with a general proposal, or some rough estimate, which is gradually refined. Heuristic methods represent an intersection between empirical and exact methods. The proposed procedure is also based on this intersection with some steps using exact methods or exact problem-solving procedures. The Slovak Railway infrastructure manager (ŽSR) as an exact method is used. Its basic principle consists of the operating intervals and practical throughput calculation on the Slovak Railway network. For this calculation, the formulas presented in Section 3 are used [26].
The heuristic method is applied to the heuristic procedure shown in Figure 3. In this case, the application of these methods is novel, and the methods are used to calculate the practical throughput of the railway line after the introduction of the most modern innovative variant ETCS L3. Initially, it is necessary to define this ETCS variant correctly. It means to reveal effectively its strengths as well as weaknesses. Subsequently, it is essential to choose the appropriate line section based on its nature and suitability where it is actually possible to implement the ETCS L3 variant in practice. The calculation of the arrival and departure train sequence interval time represents the next step. Based on these data, it is then possible to calculate the practical throughput on the specified line section using the ŽSR method after the implementation of this variant. The last step is to compare the resulting value with the current situation, and for the case of implementing other variants of ETCS. The individual steps noted are shown in Figure 3. It is possible to describe this as a type of heuristic procedure [27].
The ETCS L3 application level is a train control system with radio transmission of information between the stationary and the mobile part of the ERTMS/ETCS system via the GSM-R communication network. It is another extension of the L1 and L2 application levels. The train running is controlled by the RBC (radio block center), into which the functions of the control systems are integrated [2].
The train itself can safely report its position via the GSM-R communication network provided that the train is equipped with technical means to check the integrity of the train. As a result, there is no need for conventional vehicle detection devices as long as all vehicles are equipped with this system. The train running authorization is sent from the RBC via the Euroradio and via the GSM-R communication network. Non-switchable balises serve primarily as reference location points. The ETCS L3 application level requires two-way information transfer between the trackside and the mobile part of the ERTMS/ETCS system. If this application level is used, the need for the existence of fixed track sections, and thus light signals is eliminated. The ERTMS/ETCS L3 system enables control of train journeys in moving block sections. Visual demonstration of ETCS L3 components is shown in Figure 4 [2,27,28].

3. Results

This section contains specific research results and consists of several subsections.

3.1. Case Study in Slovakia

When selecting the railway line section, we considered the planned development of ETCS in the conditions of ŽSR but also in the countries of the European Union. For this reason, the Štúrovo–Bratislava railway line was chosen. This track is part of the IV. Pan-European corridor and its importance will grow in international passenger and freight transport.
The line passes through the southern Slovakia, and it connects the capital of Slovakia, Bratislava, with the state border of Hungary. The entire line is double-track and electrified by a 25 kV 50 Hz AC traction system. The track measures 149 km from the state border in Štúrovo to Bratislava. In the Bratislava–Nové Zámky section, a non-public GSM-R network is applied, which serves for the organization and management of railway transport. Currently, the network is only used for voice communication between the train driver and the train dispatcher.
The line section selected for the assessment of individual variants of the ETCS application was the line section from Sládkovičovo to Senec. This section was chosen because of several aspects. The first is the fact that the highest line speed between the Sládkovičovo–Senec stations is up to 140 km/h. The second factor is that it is the longest interstation section on the ŽSR network, with a length of 16 km. The selected section shown in Figure 4 is also a limiting section for calculating the resulting practical throughput of the line.

3.1.1. Train Station Sládkovičovo

The railway station is equipped with a signaling control system of the third category of safety relay, type AŽD 71, and supplemented with a warning-light crossing safety-control system and a two-way automatic block with the possibility of switching the main station tracks to the automatic block mode in both directions [30].
There is a third category control system in the Sládkovičovo–Senec interstation section. It is a three-signal automatic block that allows for controlling the movement of trains in both directions on both tracks. The interstation section is divided into eleven track-line sections by automatic signals [30].

3.1.2. Train Station Senec

There is a signaling control system of the third category of safety relay, type AŽD 71, and supplemented with a crossing-control system (with barriers) on the 79.330 km. At this railway station, there is a two-way automatic block with the possibility of switching the main station tracks to the automatic block mode in both directions [31].

3.1.3. Brief Description of the Railway Operation between Sládkovičovo and Senec

The line from Sládkovičovo to Senec is considered to be very busy based on the analysis of a timetable fragment. Regional suburban trains play an important role because the line lies in the agglomeration of the capital. Regional trains (Os) run in a two-hour cycle from 4:00 to 22:00. During rush hour, more passenger trains and regional express (Rex) trains are engaged. During 24 h, a total of 25 trains of the Os and/or Rex category pass the Sládkovičovo–Senec section. International long-distance passenger traffic is represented by ten Eurocity (EC) trains on the Budapest–Prague (Warsaw) route operating in a two-hour cycle. National long-distance passenger transport is represented by ten fast trains (R) operating in a two-hour cycle on the Bratislava–Banská Bystrica route. Considering freight transport, the strongest representation has running freight trains (Pn) (international or national) supplemented with international express freight trains (Nex). In total, 52 freight trains pass in the Sládkovičovo–Senec section over 24 h. Local service freight trains (Mn) are less represented and occur only on one regular train path.
The following abbreviations are used for each type of train:
  • Ex—Eurocity and Express train (passenger);
  • R—Fast train (passenger);
  • Os—Regional train (passenger);
  • Pn—Running freight train;
  • Mn—Local service freight train.
In our calculations, we operated with the 98 trains listed in Table 1. The number of trains was determined by analyzing the graphic timetable in the selected section of the line.
We did not consider any changes in the direction or height profiles of the line when proposing the implementation of the ETCS L3 system on the given section of the ŽSR 130 line. Additionally, we did not consider any changes in the area of the railway base or superstructure. The scope of traffic also remained unchanged.

3.1.4. Capacity Assessment—ETCS L3 Variant

The following steps are required when using the ELCS L3 control system. In order to calculate the permeability of the specified line section, it is necessary to determine the individual occupancy times with help of calculations. This system is still under development and the procedures for these calculations are not precisely defined in the conditions of ŽSR. Therefore, we adapted a methodically correct procedure for obtaining them. Initially, it is desirable to determine the speed and kilometer profile of the examined track section, which is shown in Figure 5. Shown are the maximum speeds (Vmax) in the railway station and between the line sections. The third and fourth rows show the kilometric distances between the railway stations, from the switch and after the cross switch in the Senec, Sládkovičovo and Galanta stations [32,33].
When implementing ETCS L3, we consider a so-called floating section without signals. It does not have a fixed length or an exactly fixed position on the track. For each train, the system recalculates and determines it differently. There are only balises and sensors on the track to check the exact position of the train on the track. The connection with the train is solved through the RBC. The broad track is entirely without signals; in our case only departure signals remain at the stations [34].
In our opinion, this option is the most progressive of all the proposals. ETCS L3 has not yet been widely adopted. Its development is still ongoing. We assume that all technical train conditions are met in the proposal. We can therefore consider the operation being fully controlled by ETCS L3 [35].

3.1.5. Determination of Arrival and Departure Train Sequence Interval Times

The calculations of individual train sequence interval times are based on the procedure for determining these operating sequence interval times provided in the internal ŽSR regulation DP 1 (internal regulation of the Slovak railway infrastructure manager: “Determination operating intervals and subsequent intermediates”). Since this regulation does not recognize the ETCS L3 currently, we need to model the calculations to suit this system. Since we assume that the speed and kilometer profile will be maintained and only modifications related to the train control system will take place on the track, unmodified train driving times are used in the calculation [36,37].
The calculated stopping distances for trains are a prerequisite when determining the calculation method. These calculations are performed based on standard procedures and are subsequently shown in Table 2. However, these values are greater than the actual technical possibilities for stopping the train. In our investigation, this does not interfere as this reserve includes possible deviations from the perfect braking of the train [36].
In determining the subsequent train sequence interval times, we therefore use established train driving times and the calculated stopping distance of the trains, as follows [33]. For a sequence of equally fast trains:
I o R R = l o f   t h e   t r a i n   2 s t o p p i n g   d i s t a n c e + l t r a i n   1 V ( t r a i n ) 0.06 + T d i s p a t c h i n g   t i m e   o f   t h e   t r a i n min
For a sequence of the first fast–second slow train:
I o R P = l o f   t h e   t r a i n   2 s t o p p i n g   d i s t a n c e + l t r a i n   1 V t r a i n   1 0.06 + T d i s p a t c h i n g   t i m e   o f   t h e   t r a i n min
For a sequence of the first slow–second fast train:
I o P R = t s l o w   t r a i n   r u n n i n g + I o R R t j f a s t   t r a i n   r u n n i n g min
The particular symbols used that require explanation are as follows (the others are explained directly in the formulas):
V ( i ) train speed of the   i - train   km / h ;
l ( ) train length   o f   t h e   i t r a i n   m ;
t j ( 1   or   2 ) running time of the   i - train   min ;
I o i j train   sequence   interval   time   f o r   i j   t r a i n   s e q u n c e min ;
I p arrival   headway   time   of   the   i - train   min .

3.1.6. Determination Headway Times

The arrival train sequence interval time can be calculated from the departure train sequence time for the rear station as the sum of this departure train sequence time and the difference between the train driving times of the second and first train according to the general formula [36]:
I p = I o + t j 2 t j 1     min

3.1.7. Resulting Headway Times

Resulting headway times were determined based on procedures in the previous section and are shown in Figure 6 and Figure 7.
Figure 8 and Figure 9 show that headway times for individual train sequences are significantly shorter in comparison with the current state. The most significant savings in the headway time is, for example, in the case of a train sequence Mn–R, where this interval is shortened to 0.8 min.

3.1.8. Calculation of the Practical Throughput by the ŽSR Methodology

Using the ŽSR calculation method with given input data, we obtained the values presented in Figure 10.
Figure 10 provides useful results, as explained below. According to the ŽSR methodology, we obtained the total occupancy time of Tobs as the sum of multiples of the product of the number of trains in the corresponding sequence and the resulting headway time of the particular train sequence (from Figure 8). Whereas there is a double track section, the method used above calculates in either an even–even or odd–odd direction. The even direction (Sládkovičovo–Senec) was chosen as the representative direction. The calculated practical throughput indicators are given in Table 3 [36].
As shown in Table 3, the condition of a minimum buffer time given by regulation D 24 is met:
t m e d z s k   t m e d z p o ž
This condition guarantees that the train schedule in which we consider the expected amount of regular transport of 98 trains per day is feasible. Finally, it is necessary to calculate the practical throughput and two qualitative indicators of the train schedule. Calculation of the practical throughput [35]:
n = T T v ý l + T s t á l t o b s + t m e d z p o ž = 1440 60 + 0 2.35 + 1.75 = 336   train . day 1
Infrastructure occupation rate per one train path [37]:
S O = T o b s T T v ý l + T s t á l = 230.58 1440 60 + 0 = 0.17
Calculation of practical throughput utilization index [37]:
K P = N n 100 % = 98 336 100 % = 29.17 %
These calculations show that the practical throughput on a given railway section is 336 trains per day in the odd direction, which is more than the daily scheduled range of 98 trains on a given railway section. The required buffer time is lower than the calculated buffer time, so an additional train path insertion is possible. The use of the train schedule is 29.17%, so it still provides enough space for the traffic expansion on the given track section. The complex results for the even direction are the same as for the odd direction.

3.1.9. Mutual Comparison of the Resulting Practical Throughput of Individual Proposals

Full control by the ETCS L3 system is considered in this variant. The occupancy time analysis of the model train sequence is shown in Figure 11. The calculated occupancy time for this train sequence is 19.5 min.
When comparing the data obtained from the analysis of occupancy times for the model train sequence, we found the following results for configuration of the trackside signaling equipment:
  • ETCS L3—19.5 min;
  • ETCS L2 with optimized section lengths—29.5 min;
  • LS system—29.5 min;
  • ETCS L2—32 min;
  • ETCS L1—41.5 min.

4. Discussion

The results of occupancy times are shown graphically in Figure 12. The comparison shows that the use of ETCS L3 appears to be the best option. Occupancy time was reduced by up to 10 min for the given train sequence when compared to the original state. Because of the occupancy time of the railway section, ETCS L1 appears to be the worst possible safety device. The ETCS L2 system offers a suitable alternative to the current situation. When combined with the automatic block, the occupancy time is extended by only 2.5 min. This fact does not have a significant effect on the capacity. However, if the ETCS L2 system with optimized sections were applied on the line, we would achieve at least the same occupancy time as at present with the automatic block. It should also be emphasized that rail safety increases with each increasing level of ETCS, however, only on the condition that each train is equipped and supervised by ETCS [38,39].
The graph in Figure 13 compares the practical throughput of individual variants. The graph shows clearly that the ETCS L3 system offers an optimal ratio of the practical throughput and the practical throughput occupation rate. The practical throughput is used at only 29.17% with an intended traffic volume of 98 trains per day. This system can carry up to 336 trains a day on the line. This represents 171 trains per day more than the second-best variant, ETCS L2 with optimized block section lengths. Again, the ETCS L1 system in combination with the automatic block seems to be the worst, where it is possible to carry a given mix of trains with 98 trains per day with only a small reserve. Both variants with the ETCS L2 system under consideration provide approximately the same ratio for the indicators that were examined.
Differences in the practical throughput between the different variants may mean an increase in profits from the sold capacity on the railway line for the infrastructure manager. In addition to increasing profits for the infrastructure manager, ETCS also has a direct impact on the design of the train schedule. With the appropriate use of this system, it is possible to plan a train path in very short sequences, which creates a sufficient reserve for the development of rail transport [20]. In developing this research, it is also possible to follow up on the ideas and outputs published in other papers [40,41].
It is also possible to state that the research mentioned is a continuation of other scientific publications that address the issue of railway infrastructure capacity. In the context of this research, it is necessary to evaluate the capacity occupation and to determine possible infrastructure bottlenecks [42], railway operational efficiency [43], consumption of railway line capacity in the context of different railway signaling systems [44], and estimate railway capacity considering vehicle circulation [45]. It is also necessary to address this issue in the context of modeling and simulation of railway infrastructure [46,47,48]. Finally, it is necessary to follow-up on publication [49], which comprehensively analyzes and evaluates ERTMS/ETCS—Level 3.
This research can be applied to other modes of transport, for example, in water transport. It can be used for port capacity or permeability and other important elements [50,51]. Further research may also focus on simulating the virtual ETCS operation on railway line initial requirements for a functional traffic environment entry acceptance, including weather conditions [52].
The contribution of this paper to the literature is considerable and significant, as it offers new ideas in the field of railway infrastructure capacity based on signaling principle. It consists mainly in describing a new procedure for determining railway capacity in the modern progressive variant ETCS L3. The article is intended mainly for the general professional public; it offers to the readers a scientific and professional point of view on the railway infrastructure capacity issue. It points out in the comparison of individual ETCS variants while explaining to the readers the advantages of ETCS L3 and also offers an interesting practical application for better understanding.

5. Conclusions

This research examines the implementation of the most advanced variant—ETCS L3. The heuristic procedure was proposed within the methodology of solving this problem. It contains several important partial steps. After the basic characterization of the ETCS L3 safety system level, the specific railway section (Senec–Sládkovičovo on double-track corridor line of the ŽSR network) was subsequently selected for the practical application of the variant. Practical throughput and other appropriate computations were calculated for this railway section and comparison of the current state with the ETCS L1 and L2 implementation alternatives was performed.
The research results show that only the implementation of ETCS L3 will bring a significant increase in throughput on double-track corridor line equipped with automatic block. The ETCS system prevents dangerous situations. In principle, it can be argued that each of the proposed options is better than the current situation in terms of safety. In terms of the impact on the practical throughput determined analytically for the prospective train traffic diagram according to the principles of the ŽSR methodology contained in regulation D24, the individual ETCS variants are not equivalent. Each variant affected the practical throughput on a different scale. The practical throughput of up to 336 trains per day was achieved with the ETCS L3 variant. This variant offers up to 177 trains per day more than the current state.
In the future, it will be possible to apply the research introduced for ETCS L3 applications to other important lines on the Slovak railway network. The ETCS L3 variant will continue to be researched and developed in the field of transport science, as it is an important progressive element in railway infrastructure. It is also one of the key tools to achieve fast, safe, and reliable railway transport.

Author Contributions

Conceptualization, M.D. and J.G.; methodology, M.D.; formal analysis, V.Š. and M.D.; investigation M.D., V.Š., J.G., V.Ľ. and M.V.; resources, M.D. and J.G.; data curation, M.D. and J.G.; writing—review and editing, M.D., V.Š., J.G., V.Ľ. and M.V.; visualization, M.D., V.Š. and V.Ľ.; supervision, J.G. All authors have read and agreed to the published version of the manuscript.

Funding

This work was supported by the Slovak Research and Development Agency under the contract no. APVV-19-0444.

Informed Consent Statement

Informed consent was obtained from all subjects involved in the study.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Monitoring line sections according to braking distance.
Figure 1. Monitoring line sections according to braking distance.
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Figure 2. ETCS corridor network [8].
Figure 2. ETCS corridor network [8].
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Figure 3. Heuristic procedure for solving the problem of line capacity calculation.
Figure 3. Heuristic procedure for solving the problem of line capacity calculation.
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Figure 4. Visual demonstration of ETCS L3 components [29].
Figure 4. Visual demonstration of ETCS L3 components [29].
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Figure 5. ŽSR 130 route marked in red on the map.
Figure 5. ŽSR 130 route marked in red on the map.
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Figure 6. Marked chosen railway section.
Figure 6. Marked chosen railway section.
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Figure 7. Kilometric and speed profile of the track section in the Galanta–Senec direction, ETCS L3.
Figure 7. Kilometric and speed profile of the track section in the Galanta–Senec direction, ETCS L3.
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Figure 8. Resulting headway times (in minutes) for Sládkovičovo railway station—direction from Senec station, ETCS L3.
Figure 8. Resulting headway times (in minutes) for Sládkovičovo railway station—direction from Senec station, ETCS L3.
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Figure 9. Resulting headway times (in minutes) for Senec railway station—direction from Sládkovičovo station, ETCS L3.
Figure 9. Resulting headway times (in minutes) for Senec railway station—direction from Sládkovičovo station, ETCS L3.
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Figure 10. Resulting table with occupancy times of individual train sequences, ETCS L3 is shown for the even direction (ŽSR methodology).
Figure 10. Resulting table with occupancy times of individual train sequences, ETCS L3 is shown for the even direction (ŽSR methodology).
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Figure 11. Occupancy time in the interstation section (ETCS L3) for a timetable fragment.
Figure 11. Occupancy time in the interstation section (ETCS L3) for a timetable fragment.
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Figure 12. Mutual comparison of the resulting occupancy times.
Figure 12. Mutual comparison of the resulting occupancy times.
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Figure 13. Mutual comparison of the resulting practical throughput (in number of trains per day) for individual proposals.
Figure 13. Mutual comparison of the resulting practical throughput (in number of trains per day) for individual proposals.
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Table 1. Number and type of trains per day used in the calculations.
Table 1. Number and type of trains per day used in the calculations.
Train typeExROsPnMn
Number of trains101025521
Table 2. Determined braking distances for ETCS L3 level (m).
Table 2. Determined braking distances for ETCS L3 level (m).
Train TypeExROsPnMn
Braking distance1.375633395466223
Table 3. Identified indicators of the practical throughput in the analyzed section, ETCS L3 for even direction.
Table 3. Identified indicators of the practical throughput in the analyzed section, ETCS L3 for even direction.
Indicator Final Value
Occupancy time (average time) of the specific facility or element by one traintobs2.35min
Total buffer timeTmedz1149.42min
Occupation per one train path/consumption timeTobs230.58min
Average buffer time per one train t m e d z s k 11.73min
Required buffer time per one train t m e d z p o ž 1.75min
Total time for maintenance/supplement for maintenanceTvýl60min
Total time of permanent handling operationTstál0min
Number of trainsN98train.day−1
Practical throughput permeability (capacity)n336train.day−1
Infrastructure occupation rateSo0.17[-]
Practical throughput efficiency utilization indexKP29.17%
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Dedík, M.; Štefancová, V.; Gašparík, J.; Ľupták, V.; Vojtek, M. Traffic Capacity Assessment of the Selected Track Section on the Slovak Railways Network after the Implementation of ETCS L3 Based on Signaling Principle. Appl. Sci. 2022, 12, 5597. https://doi.org/10.3390/app12115597

AMA Style

Dedík M, Štefancová V, Gašparík J, Ľupták V, Vojtek M. Traffic Capacity Assessment of the Selected Track Section on the Slovak Railways Network after the Implementation of ETCS L3 Based on Signaling Principle. Applied Sciences. 2022; 12(11):5597. https://doi.org/10.3390/app12115597

Chicago/Turabian Style

Dedík, Milan, Vladimíra Štefancová, Jozef Gašparík, Vladimír Ľupták, and Martin Vojtek. 2022. "Traffic Capacity Assessment of the Selected Track Section on the Slovak Railways Network after the Implementation of ETCS L3 Based on Signaling Principle" Applied Sciences 12, no. 11: 5597. https://doi.org/10.3390/app12115597

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