## Lifts Without Ropes: How Many Shafts and Cars Are Needed?

Stefan Gerstenmeyer^{1,3}, Richard Peters^{2,3}

^{1}ThyssenKrupp Elevator Innovation GmbH,

Bernhäuser Str. 45, 73765 Neuhausen, Germany

This email address is being protected from spambots. You need JavaScript enabled to view it.

^{2}Peters Research Ltd,

Boundary House, Missenden Road, Great Kingshill, Bucks HP15 6EB, UK

This email address is being protected from spambots. You need JavaScript enabled to view it.^{3}School of Science and Technology, The University of Northampton, UK

This paper was presented at The 5th Symposium on Lift & Escalator Technology (CIBSE Lifts Group and The University of Northampton) (2015). This web version © Peters Research Ltd 2015

**Keywords:** Ropeless lifts, multi car, magnetic linear propulsion, handling capacity, quality of service, simulation, safety distance

**Abstract.** A new generation of lifts currently under development applies magnetic linear propulsion and does not need ropes. Shafts are shared, and lifts move in two or more dimensions. Taller and more densely populated buildings will be accommodated by adding more cars but not necessarily more shafts. Engineers planning lift installations need new ways to assess the handling capacity and quality of service provided by ropeless elevators. In this paper some traffic design principles are established by applying simple cycle time calculations. For example, shuttle lift applications are considered and compared with current roped solutions. Improving on cycle time calculations requires the development of dispatching strategies, the modelling of safety distance requirements and traffic simulation models; an overview of progress in these areas will be presented.

### 1. Introduction

The number of roped lifts in known lift systems is limited to one or two cars in one shaft as the suspension ropes of the lower car need to be diverted around the upper car [1]. Putting more than two cars in one shaft is limited because of the space needed by the ropes. Furthermore, traffic handling efficiency is limited by putting more than two cars in one shaft as it becomes more difficult for all cabins to serve the main entrance floors. Using a shaft for both up and down travel means that the cars need to wait until all of the cars need to reverse their direction of travel which is a constraint to improving performance. Having multiple cars running in at least two shafts circulating with one shaft being used for travelling in the up direction and the other shaft for travelling in the down direction enables improvements in performance and efficient shaft usage. An early example is the paternoster, which was the first realisation of a circulating lift system [2]. The continuous slowly circulating chain of open cabins, with no cabin or shaft doors, has limitations in travelling time, safety and transportation of handicapped passengers. Assuming a cabin to cabin distance of 3 metres, a velocity of about 0.3 m/s [3] and two passengers per cabin the handling capacity (HC5) of a paternoster is about 60 passengers/5 minutes.

For new and safe circulating multi car lift systems (MCLS), linear motors installed in the shaft lifting multi individual and independent cars are one of the main enabling technologies. The concept and idea of a circulating multi car lift system with independent moving cars is not new in the lift industry [4].

Simple traffic calculations of a circulating lift system were published based on technical assumptions as there were unanswered technical and economic questions [5]. Technical challenges using lifts without ropes/counterweights and opportunities in building efficiency for circulating lift systems were discussed [6]. Advanced two dimensional traffic systems that include horizontal passenger movement were also analysed [7, 8].

In 2014 a multi car system currently under development was unveiled [9]. Different technical innovations and solutions solve technical challenges to realise a circulating MCLS [10]. Linear motors propel multiple independent moving cars in multiple shafts. Light weight cabin designs for eight passengers enable an economical system. A certified safety system including safety brakes ensures that there is no collision. A backpack solution guides cars and enables exchanger units to move cars between shafts horizontally.

Traffic analysis of the described realistic system based on simple cycle time calculations is examined in this paper, and constraints of the cycle time are described.

### 2. Traffic concept

With intercity trains and urban transportation different horizontal transportation systems exist and are linked together as a horizontal transportation concept. Compared to the horizontal transportation, a circulating multi car lift system needs to fit into a vertical traffic concept of a tall building.

A circulating MCLS is used as shuttle lifts between ground and sky lobbies within a vertical traffic concept [10]. Exchanger units are installed in the ground lobbies and in the upper sky lobbies. Figure 1 shows examples of how a circulating multi car lift system can be included in a vertical transportation concept. Different MCLS (S1) serve the sky lobbies of different building zones (zone 1 and zone 2). The local transportation within the building zone can be provided by traditional lift systems e.g. machine room less systems (L1 b) or by systems with two independent cars in one shaft (L1 a). The latter solution enables direct inter zone traffic. MCLS with double ground lobbies and double sky lobbies (S2) enable simultaneous loading of two cabins in a shaft.

Local groups can be realized with double deck elevator systems (L2 b) or with more flexible systems with two independent cars in one shaft (L2 a). Horizontal transportation of passengers is also possible, but not considered in this paper.

** **

**Figure 1: circulating multi car lift systems in a vertical transportation concept (examples)**

### 3. Minimum possible Cycle time

The number of passengers arriving at a specific lobby that can be transported by the MCLS within a specific time can be calculated by the number of departing full cabins. The time between two subsequent cars is the cycle time.

#### 3.1 Cycle time

The cycle time in a MCLS is the time between the departure or arrival of two subsequent cars. It also can be defined as the time between two subsequent cars passing a specific position in the shaft travelling at the same speed and in the same direction.

Figure 2 shows the vertical positions over time of two subsequent cars DVCar1(t) and DVCar2(t). Both cars are travelling in the up direction in the first shaft, are changing shafts at the top floor at 100m, and are travelling in down direction in a second shaft. While car 1 has already changed to the down direction shaft, car 2 is arriving at 100m in the up direction shaft. At the bottom floor the cars are changing shafts again. Both cars are stopping in each direction at an intermediate floor at the 50m level. The time between car 1 and car 2 is the cycle time. For a better overview the position of additional cars travelling in the MCLS is not shown. As the minimum possible cycle time is limited by the minimum distance during a complete round trip of the cars, critical situations need to be considered in detail. It is obvious that only one car can be at a specific position at the same time. If cars are travelling they are changing position continuously and make the position available for the next car. If cars are standing only one car can be at that position for the time the car is located at that position. To find the minimum possible cycle time over a complete round trip the stops of the cars need to be analysed in detail.

**Figure 2: Vertical position of two subsequent cars**

#### 3.2 Safety distance constraints

To define the minimum possible cycle time between cars in a MCLS safety distance constraints need to be considered. There must be a minimum distance between cars at any time during normal operation. The control system responsible for an optimised handling capacity in 5 minutes (HC5) and quality of service needs to consider this minimum distance. A certified safety system triggers an emergency stop of the cars in case of violated safety distances. In addition, by enabling a controlled stop of the cars the control system monitors positions and movements of the cars and decelerates cars in unexpected situations without triggering the emergency stop. The controlled stopping of cars includes the same or higher jerk and deceleration rates than normal operation rates.

**Figure 3: position (D(t)) and stopping point (DSP(t)) of a car**

A stopping distance and a stopping point of the controlled deceleration can be calculated at any time [11]. In case of violating any minimum distances between cars, the cars can be stopped by executing controlled deceleration. Figure 3 shows the position of a car over time (D(t)) and the stopping point (DSP(t)) after a spontaneous controlled deceleration with rated deceleration values. If the lift is in the deceleration process to the 50m level (10s-16s) the spontaneous controlled deceleration cannot stop the car earlier if the rated values for deceleration and jerk are used. The stopping point is also constant if a spontaneous deceleration is started during the end of the acceleration process (5s-6s) while the acceleration is reduced by a negative jerk. The controlled deceleration can also be operated with higher values for deceleration and jerk. To calculate a safe position of another car, a minimum distance which includes the car height needs to be added to the stopping position.

#### 3.3 Exchanger

To analyse the stop at an exchanger unit the design of the exchanger unit and the process of exchanging cars between shafts needs to be considered. The analysis is based on a backpack solution including the linear motor and car guidance [10]. The shaft elements are able to rotate by 90°. Cars can move horizontally. Passengers can load and unload during the rotation process since the cabin is held in an upright position. Figure 4 shows a simple example of the functionality of the exchanger unit.

**Figure 4: Exchanger functionality**

#### 3.4 Calculation of the minimum possible cycle time

As the bottle neck of the minimum possible cycle time (t_{Cy}) is when cars are stopping, these are the situations analysed. This includes the stops at the exchanger units and intermediate stops where both cars are stopping successively.

**Cycle time at an exchanger landing**: The minimum cycle time at an exchanger landing (t_{CyEx}) with passengers loading and unloading can be calculated with equation (1).

The passenger transfer during the standing time (t_{Stand}) of the cabin can be done in parallel to the exchanger preparation time t_{Ex} (rotation of the shaft element) for the following horizontal or vertical movement.

(1)

After the time a previous/front car has departed from the exchanger unit (t_{Dep}), the next car arrival time (t_{Arr}) is the time that it takes a car to arrive after the time the exchanger unit has been prepared for the next car (t_{Ex}). A long car arrival time (tArr) for the next car may enable the parallel preparation of the exchanger after the previous/front car has departed the exchanger landing.

The standing time (t_{Stand}) is calculated with equation (2) and includes passenger transfer times (t_{p}), average number of passengers in the car (P) and door times (door open time: to, door dwell: tdwell, door closing time: t_{c}).

(2)**Cycle time at an intermediate floor (both stopping):** The minimum cycle time at an intermediate floor with two subsequent cars stopping at the same floor (t_{CyF2}) can be calculated with equation (3). The time between departure of the front car 1 and the arrival of the following car 2 (start to stop time t_{s}2_{s}) depends on the stopping distances and minimum distances between cars and is shown in figure 5. The safe position for car 1 related to car 2 is shown with D_{2SfP}(t) and depends on the position, stopping point of a controlled deceleration with rated values of car 2 and an additional minimum distance between car 2 and car 1. The safe position must not touch the position of car 1.

(3)

**Figure 5: Cycle time at an intermediate floor**

The situation with the longest minimum cycle time is the minimum possible cycle time of the MCLS and is defined with equation (4).

(4)

### 4. Handling capacity

To use a circulating multi car system in a vertical traffic concept, it is necessary to know the handling capacity in 5 minutes (HC5). As the lift system is different to traditional lift systems, the known equations need to be adapted to the new system.

#### 4.1 General

The handling capacity for incoming passengers can be calculated with the simple equation for conventional lifts using the interval (INT) and number of passengers per cabin (P) (see equation (5)) [12]. This is also true for a circulating MCLS.

(5)

The interval (INT) of a group of circulating MCLS is defined by the average cycle time (t_{Cy}) and the number of MCLSs (N_{S}) (see equation (6)).

(6)

The handling capacity for incoming passengers in an up direction is independent from any down traffic or traffic between upper floors (e.g. sky lobbies). Additional down traffic will affect the RTT of a cabin because of passenger transfer times and door times of existing or additional stops. If the RTT of the cabins change/increase then the number of cabins or the speed of the cabins needs to be adapted accordingly in order to keep the average cycle time between subsequent cars to a constant value.

#### 4.2 Cabin size

Increasing the cabin size will increase the handling capacity, especially in shuttle applications. However, in shuttle applications the HC5 is not a linear function of the cabin size. Doubling the cabin size does not double the HC5 as passenger transfer times and cycle times increase.

#### 4.3 Double entrance

As handling capacity is limited by the passenger loading and unloading time, double entrance lobbies (two lobbies above each other) enables simultaneous loading of two cabins which increases the handling capacity. For a circulating MCLS each entrance level may have an exchanger unit enabling a parallel exchanging of two cars (see Figure 1 – S2). The cycle time is now measured between two pairs of cars (see figure 6), therefore double the number of passengers can be transported per cycle time. The cycle time will increase slightly since the arrival time and the departure time of two cars at a double lobby/floor is longer compared to a single car stopping at a single floor.

**Figure 6: Cycle time between two pairs of cars**

### 5. Number of Cabins

The number of cabins (N_{C}) in a circulating MCLS depends on the round trip time (RTT) and the cycle time (t_{Cy}). It can be calculated with equation (7).

(7)

This is also illustrated with figure 7. It shows a complete round trip of a car (D1(t)). The round trip time is divided by the cycle time and shows every position of the car after a period of the cycle time. These positions equal the current position of the other cars in the MCLS at time t=0, which is shown with the two shafts of a MCLS in figure 7. With double entrance configurations and pairs of cars the number of cars is doubled.

**Figure 7: Cycle time, RTT and number of cabins**

It is only possible to put an integer number of cars into the system. In case of an unchanged round trip time (RTT) and rounding down the number of cars/the result of equation (7), the real average cycle time (t_{CyR}) will be higher than the minimum possible cycle time (see equation 8). To achieve the same handling capacity the round trip time (RTT) needs to be reduced, e.g. by increasing the speed of the cars.

(8)

In case of rounding up the number of cabins/the result of equation (7) the average minimum possible cycle time cannot be reduced because it is limited to a minimum. The RTT needs to be increased according to equation (9) to avoid traffic jams, e.g. by reducing the speed of the cars.

(9)

### 6. Quality of service

As the major measure of quality of service is waiting time, the waiting time derived from the cycle time and interval may be the main measure [12]. However, travelling times and the number of stops also need to be considered. In multi car applications additional delays may be included as quality measures [13].

The maximum HC5 for conventional rope elevators is achieved in a two stop shuttle application. The RTT is kept to a minimum. Using RTT calculations the quality of service, interval and waiting time can be optimised.

For a circulating MCLS the HC5 is independent from the number of stops. In addition, the waiting time - e.g. in the main entrance - can be kept to a minimum, but additional delays during the journey will affect quality of service. In applications where all cabins have the same stops these additional delays can be reduced to a minimum or completely avoided through synchronisation of the cars. This can be compared with an underground train for urban transportation. Every train of a specific line has the same stops with a similar stop time. If one train cannot pass another train additional delays can be avoided during normal operation of the system.

Allowing individual stops for each car limits the options to avoid these delays without sacrificing HC5 as cars cannot pass each other. More sophisticated controls allocating passengers to cars can help improve the situation. This requires advanced passenger guidance, good indication and passenger awareness that cars loaded from the same landing door travel to different destination floors. This is unexpected by most lift passengers and could be confusing; it may be an option in the future.

Therefore the shuttle application with one or multiple sky lobbies is preferred as it ensures good quality of service with maximum possible handling capacity.

### 7. Comparison of shuttle lift systems

Consider a MCLS when compared to traditional double deck lift systems in a shuttle lift application. Figure 8 shows the compared configurations. The comparison is based on the cycle time calculations for the MCLS described in this paper and RTT calculations for the double deck system. Different travel heights will be compared: 100m, 200m, 300m, 400m, 500m and 600m. Table 1 shows the parameters of both systems. The traffic split is 80% incoming and 20% outgoing passengers equally distributed to both lobbies. Figure 9 shows the chosen velocity and number of cabins and the HC5 and interval depending on travel height.

**Table 1: parameters of both systems**

**Figure 8: Comparison of a group of circulating multi car systems with a double deck group**

**Figure 9: Comparison multi car vs. double deck depending on travel height: handling capacity, velocity, number of cabins and interval**

The handling capacity of the multi car system is constant, independent from the travel height. Starting with a travel height of about 200m, it is going to be higher than the compared double deck system. With increasing travel height, the benefit of the circulating MCLS can be seen. To keep the handling capacity constant at the MCLS for every travel height the number of cabins required needs to be adapted for the MCLS without additional shafts. Without adding any shafts the number of cabins for the four double deck shafts is constant.

With increasing travel height the rated velocity is increased for both systems. The velocity of the MCLS is lower than the velocity of the double deck.

The average waiting time (AWT) and average transit time (ATT) of both systems is compared in figure 10. The relationship between interval and waiting time is complex [14]. For simplicity, in these results the average waiting time of roundtrip time calculations is taken as 50% of the interval.

**Figure 10: Comparison multi car vs. double deck depending on travel height: average waiting time (AWT) and average transit time (ATT)**

Since the interval of the multi car is constant, the average waiting time is constant. Although the chosen velocity of the multi car is less than the double deck, the time to destination of the MCLS provides better values. This is caused by lower average waiting times and shorter passenger loading/unloading times.

### 8. Conclusion

Handling capacity for a circulating MCLS is based on the minimum possible cycle time of the system. The minimum possible cycle time of a circulating MCLS is discussed and defined in this paper. If the average RTT of a MCLS increases, the number of cars has to be adapted in order to keep the minimum possible cycle time and a constant handling capacity. To achieve the minimum possible cycle time without traffic jams the velocity is also adapted. Safety distances and stopping distances needs to be calculated and considered in order to calculate reasonable values for the minimum possible cycle time.

Based on a cycle time and RTT calculations a circulating MCLS and a double deck system are compared with different travelling heights in a shuttle application. The MCLS provides constant values for handling capacity and average waiting time with increasing travelling heights by adding more cars to the system. Also short cycle time enables short average waiting times.

These values need to be proven by simulation. Advanced control algorithms may also enable additional MCLS applications.

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