DC one-machine multi-charge orderly charging control system
Through the DC one-machine multi-charge orderly charging control system, a dual power distribution board is used to evenly distribute the electrical energy and expand capacity during peak periods, which solves the load pressure problem during peak charging of new energy vehicles, extends the equipment life and improves the charging efficiency and speed.
Patent Information
- Application Number
- CN202310640834.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2023-06-01
- Publication Date
- 2025-08-26
- Estimated Expiration
- 2043-06-01
AI Technical Summary
In the prior art, since the charging time of new energy vehicles has a peak period, when only one set of power distribution boards is used to control the charging module group, the distribution of power distribution board is large, which affects its service life, and it is difficult to expand capacity during the peak period of charging, resulting in a queue for charging.
The DC one-machine multi-charge orderly charging control system is adopted, including a power distribution module, a control module, a charging module group, a data storage module and a data processing module. The power energy is evenly distributed through the dual configuration of the power distribution module (power distribution board A and power distribution board B), and the capacity expansion processing is used during peak periods to achieve reasonable distribution and load balancing of the charging module group.
It effectively extends the service life of the power distribution board, improves charging efficiency and speed, avoids charging queues during peak periods, optimizes the usage rate of charging piles, and promotes the timely departure of the vehicle through an additional deduction system, which improves the utilization rate of charging points.
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Figure CN116512964B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of electric vehicle charging management, and in particular to a DC single-machine multi-charge orderly charging control system. Background Art
[0002] New energy vehicles mainly use electricity as their driving energy to drive new energy vehicles. When charging, new energy vehicles are charged using charging piles. In the existing technology, AC charging piles are usually used to charge new energy vehicles. First of all, AC charging piles are low in cost, simple to construct, and do not require much transformer complexity. Therefore, in real life, the input side of the AC charging pile is usually directly connected to the power grid.
[0003] For new energy vehicles, if a DC charger is used, the DC charging pile charging interface can be used to convert the AC power of the power grid into DC power and transmit it to the fast charging interface of the electric vehicle. The electricity directly enters the battery for charging. The DC charger has a faster charging speed and a more stable charging process. The DC charging pile can meet temporary and emergency charging needs, making the charging time close to the refueling speed.
[0004] In the patent document with application number 202021671098.0, a one-machine multi-charger DC charging pile is disclosed, and it is specifically disclosed that the electric energy is distributed through the power distribution board after passing through the power grid, thereby starting the corresponding charging module group, and using the charging gun to perform DC charging on the electric vehicle to realize the fast charging function. In the above technical scheme, one group of power distribution boards distributes and controls the four groups of charging module groups, but the charging time of new energy vehicles has peak periods, such as charging at night and charging on holidays. If only one group of power distribution boards is used to control the charging module group, the distributed electric energy of the power distribution board is large, which affects the service life of the power distribution board, and the distribution upper limit of the power distribution board is low. In daily life, if the power distribution board is set based on the distribution upper limit, it is not convenient to expand the charging end during the charging peak period, resulting in queuing for charging. Summary of the Invention
[0005] The object of the present invention is to provide a DC one-machine multi-charge orderly charging control system.
[0006] The technical problem solved by the present invention is to solve the problem in the prior art that, due to the peak charging time of new energy vehicles, only one set of power distribution boards is used to control the charging of the charging module group, resulting in a large amount of distributed electric energy on the power distribution board, which affects the service life of the power distribution board.
[0007] The present invention can be implemented by the following technical solutions: a DC one-machine multi-charge orderly charging control system, comprising a power distribution module, a control module, a charging module group, a data storage module and a data processing module;
[0008] The power distribution module is used to obtain electric energy from the power grid and distribute it evenly to the activated charging module group, and use the charging module group to charge the electric vehicle;
[0009] The power distribution module includes a power distribution board A and a power distribution board B. The output ends of the power distribution board A and the power distribution board B are connected to the charging module group, and the input ends of the power distribution board A and the power distribution board B are connected to the power grid. The charging module groups are connected in parallel. The control module obtains the power of the power distribution board A and the power distribution board B. The control module processes the power of the power distribution board A and the power distribution board B to obtain the distribution method of the charging module group and matches the charging module group with load on the corresponding power distribution board.
[0010] A further technical improvement of the present invention is that the method for obtaining the allocation mode of the charging module group includes the following steps:
[0011] S11. Calculate the estimated charging time based on the charging method selected by the user. If the user selects "full stop," perform a simulation calculation based on the user's vehicle's charge level and the vehicle's charging power to calculate the estimated charging time, and store the calculated time in the data storage module as temporary data. If the user selects "charge for n hours," perform a simulation calculation based on the user's vehicle's charge level and the vehicle's charging power to calculate the charging time, and determine the difference between the charging time and n. If the charging time is greater than n, record n as temporary data; if the charging time is less than n, record the charging time as temporary data.
[0012] S12. The control module obtains temporary data and compares the temporary data with the set range value. If the temporary data exceeds the set range value, the charging module group corresponding to the tram is powered by the power distribution board B; if the temporary data is less than the set range value, the charging module group corresponding to the tram is powered by the power distribution board A.
[0013] A further technical improvement of the present invention is that the control module obtains the charging power of the power distribution board A and the power distribution board B, the control module compares the power of the power distribution board A and the power distribution board B respectively, adjusts the power load of the power distribution board A and the power distribution board B, and controls the power load of the power distribution board A and the power distribution board B to be equal.
[0014] A further technical improvement of the present invention is that the control module obtains the data parameters in the charging module group, monitors the obtained data parameters, and determines whether there is an abnormality in the data parameters. If there is an abnormality, the control module controls the operation of the terminal charging module group, sends a termination signal to the control terminal, analyzes the abnormal value corresponding to the termination signal, sends the analysis result to the charging user, and resets the charging status of the charging module group.
[0015] A further technical improvement of the present invention is that: it further includes a charging distribution module, and the charging distribution module is used to control the allocation of charging positions by the control module during peak charging periods.
[0016] A further technical improvement of the present invention is that: the charging distribution module includes an information acquisition unit, an entrance unit and a distribution unit. The information acquisition unit is used to collect user information, and by controlling the operation of the entrance unit, the tram is enabled to enter the charging area. The distribution unit allocates a charging module group to charge the tram.
[0017] A further technical improvement of the present invention is that: the steps for the information acquisition unit to obtain user information include: the information acquisition unit authorizes to obtain personal information by scanning the code through the program, obtains the contact information of the user, and after the charging state is disconnected for a set time, obtains the contact information of the user through the departure reminder unit to remind the customer to leave. If the customer does not leave, the additional deduction system is started until the timing deduction of the additional deduction system stops when the vehicle information of the user passes through the exit unit for marking.
[0018] A further technical improvement of the present invention is that: the steps for the distribution unit to allocate the position of the charging module group include: the distribution unit retrieves the power usage of power distribution board A and power distribution board B, the distribution unit allocates the corresponding charging module group according to the power usage, records the position and number of the charging module group, and the distribution unit sends the position and number of the charging module group to the client, and the user scans the code to start charging timing.
[0019] A further technical improvement of the present invention is that: the working steps of the additional deduction system include:
[0020] Obtain the time h when the charging state is disconnected, judge the range of the interval where the disconnection time h is located, set four range values h1, h2, h3, h4, and h1 < h2 < h3 < h4;
[0021] If h <= h1, the additional deduction amount P of the additional deduction system is 0;
[0022] If h1 < h <= h2, the departure reminder unit reminds the user through the user's contact information. If the exit unit detects that the vehicle has left, the additional deduction amount P of the additional deduction system is 0; if the exit unit does not detect that the vehicle has left and h2 < h <= h3, the additional deduction system deducts money a, b and c are set parameter values;
[0023] If h3 < h <= h4, the departure reminder unit gives a second reminder to the user through the user's contact information. If the exit detection unit detects that the vehicle has left, the additional deduction system deducts money If the exit unit does not detect that the vehicle has left and h > h4, the additional deduction system deducts money
[0024] Compared with the prior art, the present invention has the following beneficial effects:
[0025] 1. This application first solves the problem of excessive load pressure caused by using only one set of power distribution boards in the prior art by adopting power distribution board A and power distribution board B, and then evenly distributes the acquired electric energy to the charging module group through power distribution board A and power distribution board B, that is, evenly distributes the charging load on power distribution board A and power distribution board B, so as to ensure the service life of power distribution board A and power distribution board B during non-peak hours.
[0026] 2. During the peak charging period, this application can achieve reasonable expansion of the capacity of one machine with multiple chargers by the total number of charging module groups that the power distribution board A and the power distribution board B can load, so that it can maximize the charging efficiency when the power distribution board A and the power distribution board B are at the maximum load, and at the same time use DC charging to solve the charging speed during peak periods.
[0027] 3. In this application, the charging allocation module is used to directly allocate the charging module groups during peak charging periods, avoiding the occurrence of disorder during normal use, maximizing the utilization rate of the charging piles, and calling up the unused charging module groups, thereby achieving further promotion of new energy vehicles based on the optimization of the above-mentioned charging points.
[0028] 4. In this application, by adopting a DC charging method of one machine with multiple chargers, it is possible to achieve shunt protection during charging, and to connect to only one grid access port to achieve power distribution protection for multiple charging module groups. In addition, the DC charging method makes the charging speed faster.
[0029] 5. In this application, an additional deduction system is provided, and the additional deduction system is applied when the charging points are relatively tight, that is, during the peak charging period. Through the phased deduction system, the users are urged to leave at different time periods, so that the charging points can be idle, making it easier for subsequent electric vehicles to enter the charging points for charging. BRIEF DESCRIPTION OF THE DRAWINGS
[0030] To facilitate understanding by those skilled in the art, the present invention is further described below with reference to the accompanying drawings.
[0031] Figure 1 This is a system principle block diagram of the present invention;
[0032] Figure 2 This is a connection diagram of the power distribution module of the present invention. DETAILED DESCRIPTION
[0033] In order to further illustrate the technical means and effects adopted by the present invention to achieve the predetermined purpose of the invention, the specific implementation methods, structures, features and effects of the present invention are described in detail below in conjunction with the accompanying drawings and preferred embodiments.
[0034] See also Figure 1-2 As shown, the DC one-machine multi-charger orderly charging control system includes a power distribution module, a control module, a charging module group, a data storage module and a data processing module. The power distribution module is used to distribute the electric energy from the power grid to the charging module group. The control module and the power distribution module cooperate with each other. The data storage module is used to store the relevant data when the tram is charging. Finally, the data processing module is used to process the relevant data when the tram is charging.
[0035] The power distribution module includes a power distribution board A and a power distribution board B. The power input side of the power distribution board A and the power distribution board B is connected to the power grid, and the power on the grid is directly input to the power distribution board A and the power distribution board B. The corresponding number of charging module groups are equipped according to the power distribution range of the power distribution board A and the power distribution board B.
[0036] The specific configuration process is as follows: obtaining the maximum distributed power corresponding to the power distribution board A and obtaining the maximum distributed power of the power distribution board B, storing them in the data storage module to form raw data, then using the data processing module to allocate the number of charging module groups A1 and B1 according to the charging power range of the tram, and actually setting the corresponding charging module groups according to the number of αA1 and βB1, where 0<α<1, 0<β<1, and the power distribution board A controls the αA1 group of charging module groups, the power distribution board B controls the βB1 group of charging module groups, and the αA1 and βB1 groups of charging module groups are connected in parallel, and storing the above data in the data storage module to form process data;
[0037] The specific usage process is as follows: the charging module groups are defined separately as N1, N2, N3...Nn, where n is a positive integer greater than zero. When the electric vehicle starts the corresponding charging module group Nm, the control module obtains the location and expected charging time of the charging module group Nm, and uses the control module to allocate the corresponding power distribution board to power the charging module group Nm;
[0038] The estimated charging time is obtained based on the charging time required by the customer and the current power of the tram. That is, when charging, the customer can choose "full stop" or "charge for n hours". If "full stop", the corresponding estimated charging time is calculated based on the power of the tram and the charging power of the tram, and the calculated estimated charging time is stored as temporary data. For the tram that chooses "charge for n hours", the corresponding estimated charging time is calculated based on the power of the tram and the charging power of the tram, and the calculated estimated charging time is compared with n. If the estimated charging time is greater than n, n is stored as temporary data at this time. If the estimated charging time is less than n, the estimated charging time is stored as temporary data. The temporary data is obtained by using the control module, and the power distribution board connected to the charging module group is controlled by the size of the temporary data.
[0039] According to the expected charging time, the electric vehicles whose expected charging time exceeds the set range will be charged by the charging module group controlled by the power distribution board B, and the electric vehicles whose expected charging time is less than the set range will be charged by the charging module group controlled by the power distribution board A. Electric vehicles with different charging times are controlled by different power distribution boards, making it easier to monitor the charging of the electric vehicles.
[0040] By adopting the power distribution board A and the power distribution board B to coordinate, the power distribution board A and the power distribution board B can be used to distribute the electric vehicles being charged, protect the power distribution board A and the power distribution board B, and avoid the power distribution board A and the power distribution board B needing to carry a large number of electric vehicles that need to be charged during normal use. The coordination of the power distribution board A and the power distribution board B is used to extend the service life of the power distribution board A and the power distribution board B. If the power distribution board A or the power distribution board B fails, the collapse of the charging system can be avoided, and the stability of one machine with multiple charges is guaranteed. At the same time, in this application, the role of the power distribution board A and the power distribution board B is adopted, and the current charging capacity can be expanded by equipping the power distribution board A and the power distribution board B with corresponding charging module groups, ensuring that the charging capacity of the electric vehicles can be quickly expanded during the peak charging period.
[0041] In a preferred embodiment, the control module obtains the power corresponding to the power distribution board A and the power corresponding to the power distribution board B in the current state, compares the power of the power distribution board A with the power of the power distribution board B, and if the power of the power distribution board A is much greater than the current power of the power distribution board B, the charging module group controlled by the power distribution board A is transferred to the power distribution board B to protect the power distribution board A; similarly, if the power of the power distribution board B is much greater than the current power of the power distribution board A, the charging module group controlled by the power distribution board B is transferred to the power distribution board A to protect the power distribution board B.
[0042] In a preferred embodiment, the data processing module is provided with multiple sets of algorithms to record and process the real-time power flowing through the power distribution board A and the power distribution board B, and the control module is used to monitor the data obtained by the data processing module;
[0043] Specifically, the real-time data obtained by the power distribution board A is recorded as W1, and the real-time data obtained by the power distribution board B is recorded as W2. The data processing module regularly samples and obtains W1 and W2. By processing W1 and W2 in the same time, W1 and W2 are first denoised to obtain W1 and W2 that change with time. The control module obtains W1 and W2, obtains the remaining power space of the power distribution board A and the power distribution board B, allocates a corresponding number of charging module groups according to the remaining power space, and corresponds to the power distribution board A and the power distribution board B. After the subsequent tram is connected to the charging module group, it is allocated according to the number of corresponding charging module groups of the power distribution board A and the power distribution board B, and the charging module group is arranged on the power distribution board with the most corresponding charging module groups. The power distribution board is used to transmit the power energy of the power grid to the corresponding charging module group to charge the tram.
[0044] During daily use of the present application, the control of the charging module group by the power distribution board A and the power distribution board B is variable through floating distribution. The charging module group is allocated to the corresponding power distribution board by the corresponding power of the power distribution board A and the power distribution board B or the corresponding remaining charging module group. That is, during non-peak periods, the power is distributed in a balanced manner so that the load power of the power distribution board A and the power distribution board B remains balanced within a certain range, so that both the power distribution board A and the power distribution board B can be used, avoiding the consequence that one group of power distribution boards has a large load, thereby affecting the service life; during peak periods, that is, first through capacity expansion processing, a charging module group with several charging ports is obtained. At this time, the power distribution board A and the power distribution board B have been increased to the maximum load, and the main focus is on unblocking. Therefore, at this time, the number of charging module groups corresponding to the power distribution board A and the power distribution board B is allocated to achieve maximum utilization of the charging module group.
[0045] In a preferred embodiment, the control module obtains the current, voltage, and charging power during the charging process and uses the control module to monitor the charging status of the charging module group. In the event of an anomaly, the control module controls the interruption of charging of the charging module group and simultaneously sends a termination signal to the control terminal. The control terminal receives the termination signal, analyzes the abnormal value corresponding to the termination signal, and sends the analysis result to the charging user. The charging status of the charging module group is reset at this time. If the charging user charges the charging module group at this location again, the control module will re-monitor to ensure the safe operation of power distribution board A and power distribution board B.
[0046] In a preferred embodiment, it further includes a charging distribution module, where the charging distribution module is controlled by the control module and is used to control the charging position distribution during peak charging periods.
[0047] Specifically, after expanding the power distribution board A and the power distribution board B, the insufficient use of charging positions at this time affects the use efficiency of the power distribution board A and the power distribution board B. Therefore, the charging distribution module is started along with the expansion. The charging distribution module includes an information acquisition unit, an entrance unit, and a distribution unit. The information acquisition unit is used to control the entrance unit, and after passing through the distribution unit, the parking space is allocated. That is, the information acquisition unit scans the code through a proprietary program, directly authorizes to obtain personal information, obtains contact information through personal information, and uses the control module to control the opening of the entrance unit. At this time, the distribution unit cooperates with the use power of the power distribution board A and the power distribution board B to directly allocate the appropriate charging module group and the position of the charging module group. The position and number of the charging module group are sent to the client through the information acquisition unit, and the client can directly perform the charging operation, and the user scans the code to start charging timing. Due to the peak period, if the vehicle cannot leave in time after charging, it further includes a departure reminder unit. That is, the departure reminder unit obtains the charging status. If the charging status has been disconnected, it records the disconnection duration and sends the disconnection information to the user terminal through the information acquisition unit to remind the user to leave. If the user does not leave, an additional deduction system is started until the vehicle information of the user is identified by the exit unit to complete the efficient charging operation during the peak period.
[0048] During this process, the working steps of the additional deduction system include:
[0049] Obtain the disconnection time h of the charging status, judge the range of the interval where the disconnection time h is located, set four range values of h1, h2, h3, and h4, and h1 < h2 < h3 < h4;
[0050] If h <= h1, the additional deduction system deducts money P = 0;
[0051] If h1 < h <= h2, the departure reminder unit reminds the user through the user's contact information. If the exit unit detects that the vehicle has left, the additional deduction system deducts money P = 0; if the exit unit does not detect the vehicle leaving, h2 < h <= h3, the additional deduction system deducts money a, b, and c are set parameter values;
[0052] If h3 < h <= h4, the departure reminder unit gives a second reminder to the user through the user's contact information. If the exit detection unit detects that the vehicle has left, the additional deduction system deducts money If the exit unit does not detect the vehicle leaving, h > h4, the additional deduction system deducts money
[0053] During this process, the allocation unit automatically allocates the charging module groups by obtaining the number of remaining charging module groups of the current power distribution board A and the power distribution board B, and allocates them in sequence, saving the allocation process.
[0054] Working principle of the present invention: This application first solves the problem of excessive load pressure caused by using only one group of power distribution boards in the prior art by adopting power distribution board A and power distribution board B, and then evenly distributes the acquired electric energy to the charging module group through power distribution board A and power distribution board B, that is, evenly distributes the charging load on power distribution board A and power distribution board B, so as to ensure the service life of power distribution board A and power distribution board B during non-peak application; if during the charging peak period, the total number of charging module groups that can be loaded by power distribution board A and power distribution board B can be used to achieve reasonable expansion of one machine with multiple chargers, so that it can maximize the charging efficiency when the power distribution board A and power distribution board B are at the maximum load, and at the same time use DC charging to solve the charging speed during peak period.
[0055] The above description is merely a preferred embodiment of the present invention and does not constitute any form of limitation to the present invention. Although the present invention has been disclosed as a preferred embodiment as above, it is not intended to limit the present invention. Any person skilled in the art can make some changes or modifications to equivalent embodiments using the technical contents disclosed above without departing from the scope of the technical solution of the present invention. However, any simple modifications, equivalent changes and modifications made to the above embodiments based on the technical essence of the present invention without departing from the content of the technical solution of the present invention are still within the scope of the technical solution of the present invention.
Claims
1. A DC one-machine multi-charger orderly charging control system, characterized by: It includes a power distribution module, a control module, a charging module group, a data storage module and a data processing module; The power distribution module is used to obtain electric energy from the power grid and distribute it evenly to the activated charging module group, and use the charging module group to charge the electric vehicle; The power distribution module includes a power distribution board A and a power distribution board B. The output ends of the power distribution board A and the power distribution board B are connected to the charging module group, and the input ends of the power distribution board A and the power distribution board B are connected to the power grid. The charging module groups are connected in parallel. The control module obtains the power of the power distribution board A and the power distribution board B. The control module processes the obtained power of the power distribution board A and the power distribution board B to obtain a distribution method for the charging module group, and matches the charging module group with the load to the corresponding power distribution board; The method for obtaining the allocation mode of the charging module group includes the following steps: S11. Calculate the estimated charging time based on the user's selected charging mode. If the user selects "full stop," perform a simulation based on the user's vehicle's battery level and the vehicle's charging power to calculate the estimated charging time, and store the calculated time in a data storage module as temporary data. If the user selects "Charge for n hours," a simulation is performed based on the user's vehicle's battery level and the vehicle's charging power to calculate the charging time. The difference between this charging time and n is determined. If the charging time is greater than n, n is recorded as temporary data. If the charging time is less than n, the charging time is recorded as temporary data. S12. The control module obtains temporary data and compares the temporary data with the set range value. If the temporary data exceeds the set range value, the charging module group corresponding to the tram is powered by the power distribution board B; if the temporary data is less than the set range value, the charging module group corresponding to the tram is powered by the power distribution board A.
2. The DC one-machine multi-charge orderly charging control system according to claim 1, characterized in that: The control module obtains the charging power of the power distribution board A and the power distribution board B, compares the power of the power distribution board A and the power distribution board B respectively, adjusts the power load of the power distribution board A and the power distribution board B, and controls the power load of the power distribution board A and the power distribution board B to be equal.
3. The DC one-machine multi-charge orderly charging control system according to claim 1, characterized in that: The control module obtains data parameters in the charging module group, monitors the obtained data parameters, and determines whether there are any abnormalities in the data parameters. If there are any abnormalities, the control module controls the operation of the terminal charging module group, sends a termination signal to the control terminal, analyzes the abnormal value corresponding to the termination signal, sends the analysis result to the charging user, and resets the charging status of the charging module group.
4. The DC one-machine multi-charge orderly charging control system according to claim 1, characterized in that: It also includes a charging distribution module, which is used to control the distribution of charging positions using the control module during the charging peak period.
5. The DC one-machine multi-charge orderly charging control system according to claim 4, characterized in that: The charging distribution module includes an information acquisition unit, an entrance unit and a distribution unit. The information acquisition unit is used to collect user information and control the entrance unit to enable the electric vehicle to enter the charging area. The distribution unit allocates the charging module group to charge the electric vehicle.
6. The DC one-machine multi-charge orderly charging control system according to claim 5, characterized in that: The step of the information acquisition unit acquiring user information includes: the information acquisition unit scans the code through a program, authorizes the acquisition of personal information, obtains the user's contact information, obtains the user's contact information through the urging unit after the charging state is disconnected for a set time, and urges the customer to leave. If the customer does not leave, the additional deduction system is activated until the user's vehicle information passes the exit unit mark, and the timed deduction of the additional deduction system is stopped.
7. The DC one-machine multi-charge orderly charging control system according to claim 5, characterized in that: The step of allocating the position of the charging module group by the allocation unit includes: the allocation unit calls the used power of the power distribution board A and the power distribution board B, the allocation unit allocates the corresponding charging module group according to the used power, records the position and number of the charging module group, and the allocation unit sends the position and number of the charging module group to the client, and the user scans the code to start the charging time.
8. The DC one-machine multi-charge orderly charging control system according to claim 6, characterized in that: The working steps of the additional deduction system include: Get the time h of disconnection of charging state, determine the interval range of disconnection time h, set four range values of h1, h2, h3, and h4, and h1 <h2<h3<h4; If h≤h1, the additional deduction system deduction P=0; If h1 < h ≤ h2, the departure reminder unit reminds the user through the user's contact information. If the exit unit detects that the vehicle has left, the additional deduction system deducts P = 0; if the exit unit does not detect the vehicle leaving and h2 < h ≤ h3, the additional deduction system deducts P = c , where a, b, and c are set parameter values; If h3 < h ≤ h4, the reminder unit conducts a secondary reminder to the user through the user's contact information. If the exit detection unit detects that the vehicle has left, the additional deduction system deducts an amount P = c ; if the exit unit does not detect that the vehicle has left and h > h4, the additional deduction system deducts an amount P = c +d .
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