CN110850313A - Lithium battery charging and discharging electric quantity display method and system - Google Patents

Lithium battery charging and discharging electric quantity display method and system Download PDF

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Publication number
CN110850313A
CN110850313A CN201911111103.4A CN201911111103A CN110850313A CN 110850313 A CN110850313 A CN 110850313A CN 201911111103 A CN201911111103 A CN 201911111103A CN 110850313 A CN110850313 A CN 110850313A
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value
preset
marking
real
time voltage
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刘冲文
庄克成
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Ningbo Jingyuan Technology Co Ltd
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Ningbo Jingyuan Technology Co Ltd
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Priority to CN201911111103.4A priority Critical patent/CN110850313A/en
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/385Arrangements for measuring battery or accumulator variables
    • G01R31/387Determining ampere-hour charge capacity or SoC
    • G01R31/388Determining ampere-hour charge capacity or SoC involving voltage measurements

Abstract

The invention provides a method and a system for displaying the charge and discharge electric quantity of a lithium battery, which comprise an initial voltage acquisition module, a real-time voltage acquisition module, a calculation module and a display module, wherein the initial voltage acquisition module comprises: the method comprises the steps that before the lithium battery enters a charging and discharging state, an initial voltage value of the lithium battery is obtained by an initial voltage module; the method comprises the steps that after a lithium battery enters a charging and discharging state, a real-time voltage value of the lithium battery is obtained by a real-time voltage obtaining module; according to the initial voltage value and the real-time voltage value, the calculation module calculates the electric quantity according to a preset method and obtains a calculation result; and the display module displays the electric quantity information according to the calculation result. The invention solves the problem of inaccurate electric quantity display caused by voltage jump under the heavy-current work of the lithium battery, is suitable for the lithium batteries with multiple ranges and specifications, can set multiple grades of electric quantities according to different requirements, and ensures the accuracy of electric quantity display.

Description

Lithium battery charging and discharging electric quantity display method and system
Technical Field
The invention relates to the field of battery charging and discharging, in particular to a method and a system for displaying charging and discharging electric quantity of a lithium battery.
Background
With the advancement of electronic technology, various mobile electronic devices are invented one by one and gradually become popular consumer electronic products, and the development and application of lithium batteries are continuously expanding with the invention of various electronic products, such as walkmans, mobile phones, digital cameras, notebook computers, personal digital assistants, and the like. In the process of using large current such as charging and discharging of the lithium battery, the standing voltage of the lithium battery is greatly different from the voltage during discharging, the larger the discharging current is, the larger the discharging voltage reduction amplitude is, and the voltage is increased partially after discharging is stopped, so that the inaccuracy of electric quantity display is caused.
In the prior art, for example, chinese patent publication No. CN1700508A discloses a rechargeable battery capable of displaying electric quantity, but does not solve the problem of inaccurate electric quantity display.
Disclosure of Invention
In order to solve the above problems, the present invention provides a method for displaying the charge and discharge capacity of a lithium battery, comprising the steps of:
s1: acquiring an initial voltage value of the lithium battery before the lithium battery enters a charge-discharge state;
s2: acquiring a real-time voltage value of the lithium battery after the lithium battery enters a charge-discharge state;
s3: calculating the electric quantity by using a preset method according to the initial voltage value and the real-time voltage value, and obtaining a calculation result;
s4: and displaying the electric quantity information according to the calculation result.
Further, the preset method comprises a first preset contrast value, a second preset contrast value, a third preset contrast value, a marking value and a step of acquiring the marking value:
when the initial voltage value is greater than or equal to a first preset contrast value, marking the value as a first preset value;
when the initial voltage value is smaller than the first preset contrast value and larger than or equal to a third preset contrast value, marking the value as a second preset value;
and when the initial voltage value is smaller than a third preset contrast value, marking the value as a third preset value.
Further, the preset method further comprises the step of switching the flag value according to the real-time voltage value and the flag value:
when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a first preset value, keeping the marking value unchanged;
when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a second preset value, switching the marking value to be a first preset value;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value and the marking value is the first preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the marking value is a second preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the marking value is a third preset value, switching the marking value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is the first preset value, switching the marking value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a second preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value, and the marking value is a third preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than or equal to a third preset contrast value and the marking value is a second preset value, switching the marking value to a third preset value;
and when the real-time voltage value is less than or equal to a third preset contrast value and the marking value is a third preset value, keeping the marking value unchanged.
Further, the step S4:
when the marking value is a first preset value, displaying that the electric quantity information is high electric quantity;
when the marking value is a second preset value, displaying the electric quantity information as medium electric quantity;
and when the marking value is a third preset value, displaying that the electric quantity information is low electric quantity.
The invention also provides a lithium battery charging and discharging electric quantity display system, which comprises an initial voltage acquisition module, a real-time voltage acquisition module, a calculation module and a display module, wherein:
the initial voltage acquisition module is used for acquiring an initial voltage value of the lithium battery before the lithium battery enters a charge-discharge state;
the real-time voltage acquisition module is used for acquiring a real-time voltage value after the lithium battery enters a charge-discharge state;
the calculation module is used for calculating the electric quantity according to the initial voltage value and the real-time voltage value and a preset method, obtaining a calculation result and transmitting the calculation result to the display module;
and the display module is used for displaying the electric quantity information according to the calculation result.
Further, the calculation module further comprises a tag value acquisition module:
when the initial voltage value is greater than or equal to a first preset contrast value, the marking value acquisition module marks the marking value as a first preset value;
when the initial voltage value is smaller than the first preset contrast value and larger than or equal to a third preset contrast value, the marking value acquisition module marks the marking value as a second preset value;
when the initial voltage value is smaller than the third preset contrast value, the marking value acquisition module marks the marking value as a third preset value.
Further, the calculation module further comprises a tag value switching module:
when the real-time voltage value is greater than or equal to the first preset contrast value and the marking value is the first preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a second preset value, the marking value switching module switches the marking value to be the first preset value;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value and the mark value is the first preset value, the mark value switching module keeps the mark value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the mark value is a second preset value, the mark value switching module keeps the mark value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the mark value is a third preset value, the mark value switching module switches the mark value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is the first preset value, the marking value switching module switches the marking value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a second preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a third preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is smaller than or equal to a third preset contrast value and the marking value is a second preset value, the marking value switching module switches the marking value to be a third preset value;
and when the real-time voltage value is less than or equal to a third preset contrast value and the marking value is a third preset value, the marking value switching module keeps the marking value unchanged.
Further, the display module:
when the marking value is a first preset value, the display module displays high-power information;
when the marking value is a second preset value, the display module displays the medium electric quantity information;
and when the marking value is a third preset value, the display module displays the low-power information.
Compared with the prior art, the invention at least has the following beneficial effects:
(1) according to the invention, the problem of inaccurate electric quantity display caused by voltage rebound during large-current charging and discharging of the lithium battery is effectively solved, and the problem of inaccurate electric quantity display caused by small-amplitude voltage jitter is also solved;
(2) the invention solves the problem of unstable electric quantity display easily by a simple method, has high expansibility, can be suitable for various lithium batteries with different capacities and specifications, and can actively set up multi-level electric quantity according to requirements so as to ensure that the electric quantity display is more accurate.
Drawings
FIG. 1 is a method flowchart of a method and system for displaying charge and discharge capacity of a lithium battery;
FIG. 2 is a system diagram of a method and system for displaying charge and discharge capacity of a lithium battery;
fig. 3 is a diagram of a coulomb model.
Detailed Description
The following are specific embodiments of the present invention and are further described with reference to the drawings, but the present invention is not limited to these embodiments.
Example one
Referring to fig. 1 and 3 in detail, a method for displaying charge and discharge capacity of a lithium battery includes the steps of:
s1: acquiring an initial voltage value of the lithium battery before the lithium battery enters a charge-discharge state;
s2: acquiring a real-time voltage value of the lithium battery after the lithium battery enters a charge-discharge state;
s3: calculating the electric quantity by using a preset method according to the initial voltage value and the real-time voltage value, and obtaining a calculation result;
s4: and displaying the electric quantity information according to the calculation result.
In order to make the present invention more clear, taking discharge data of a group of six-string battery packs as an example, each battery is 4.2V, and the total is 25.2V, as shown in table 1:
TABLE 1
Time of day Voltage of battery before discharge Discharge start battery voltage End of discharge battery voltage
0min 25.20 23.89 21.92
5min 23.49 22.40 20.79
10min 22.25 21.30 20.07
15min 21.65 20.70 19.41
20min 21.13 20.13 18.87
22min 19.57
As shown in the table, when the lithium battery is charged and discharged, the voltage of the battery has obvious jump before and after discharging, therefore, three preset contrast values and three preset values are arranged at the obvious voltage jump position, wherein:
first preset contrast value: betery _ max 23V;
second preset contrast value: measure _ med 21V;
third preset contrast value: betery _ min 19V;
the first preset value is 1, the second preset value is 2, and the third preset value is 3.
According to the table 1 and the three preset contrast values, an electric quantity model schematic diagram is established as shown in fig. 3, and flag is a flag value.
Further, before the lithium battery starts to charge and discharge, firstly, a current voltage flag value needs to be acquired:
when the initial voltage value is greater than or equal to a first preset contrast value, marking the value as a first preset value;
when the initial voltage value is smaller than the first preset contrast value and larger than or equal to a third preset contrast value, marking the value as a second preset value;
and when the initial voltage value is smaller than a third preset contrast value, marking the value as a third preset value.
Further, after the lithium battery starts to charge and discharge, the marking value is switched according to the real-time voltage value and the marking value, and the method comprises the following switching methods:
(1) when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a first preset value, keeping the marking value unchanged;
(2) when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a second preset value, switching the marking value to be a first preset value;
(3) when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value and the marking value is the first preset value, keeping the marking value unchanged;
(4) when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the marking value is a second preset value, keeping the marking value unchanged;
(5) when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the marking value is a third preset value, switching the marking value to be the second preset value;
(6) when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is the first preset value, switching the marking value to be the second preset value;
(7) when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a second preset value, keeping the marking value unchanged;
(8) when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value, and the marking value is a third preset value, keeping the marking value unchanged;
(9) when the real-time voltage value is smaller than or equal to a third preset contrast value and the marking value is a second preset value, switching the marking value to a third preset value;
(10) and when the real-time voltage value is less than or equal to a third preset contrast value and the marking value is a third preset value, keeping the marking value unchanged.
Further, according to the switching of the marking value, displaying the electric quantity information:
when the marking value is a first preset value, displaying that the electric quantity information is high electric quantity;
when the marking value is a second preset value, displaying the electric quantity information as medium electric quantity;
and when the marking value is a third preset value, displaying that the electric quantity information is low electric quantity.
Wherein, the complete charging process is:
obtaining a labeling value- > (10) - > (8) - > (5) - > (4) - > (2) - > (1);
the complete discharge process is:
the labeling value- > (1) - > (3) - > (6) - > (7) - > (9) - > (10) was obtained.
As shown in Table 1, when the voltage is discharged to 21V, the voltage jumps between 20.9 and 21.1, by the method, when the voltage is smaller than 21V for the first time, the middle electric quantity is displayed, the marking value is set to be a second preset value, when the voltage jumps to 21.1V, a method is executed (4) when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the marking value is set to be the second preset value, the marking value is kept unchanged, and the middle electric quantity is still displayed at the moment, so that small amplitude jitter and large amplitude voltage rebound of the voltage can be prevented.
In a preferred embodiment, the problems of large voltage range and need of more levels to display electric quantity information are solved by setting more preset contrast values and corresponding number preset values according to actual requirements and lithium battery parameters.
By the method, the problem of inaccurate electric quantity display caused by voltage rebound during large-current charging and discharging of the lithium battery is effectively solved, and the problem of inaccurate electric quantity display caused by small-amplitude voltage jitter is also solved.
Meanwhile, the problem of unstable electric quantity display is easily solved through a simple method, the expansibility is high, the method can be suitable for various lithium batteries with different capacities and specifications, and meanwhile, multi-level electric quantity can be actively set according to requirements, so that the electric quantity display is more accurate.
Example two
Referring specifically to fig. 2, a lithium battery charging and discharging electric quantity display system includes an initial voltage acquisition module, a real-time voltage acquisition module, a calculation module and a display module, wherein:
the initial voltage acquisition module is used for acquiring an initial voltage value of the lithium battery before the lithium battery enters a charge-discharge state;
the real-time voltage acquisition module is used for acquiring a real-time voltage value after the lithium battery enters a charge-discharge state;
the calculation module is used for calculating the electric quantity by using a preset method according to the initial voltage value and the real-time voltage value, obtaining a calculation result and transmitting the calculation result to the display module;
and the display module is used for displaying the electric quantity information according to the calculation result.
Further, the calculation module further comprises a tag value acquisition module:
when the initial voltage value is greater than or equal to a first preset contrast value, the marking value acquisition module marks the marking value as a first preset value;
when the initial voltage value is smaller than the first preset contrast value and larger than or equal to a third preset contrast value, the marking value acquisition module marks the marking value as a second preset value;
when the initial voltage value is smaller than the third preset contrast value, the marking value acquisition module marks the marking value as a third preset value.
Further, the calculation module further comprises a tag value switching module:
when the real-time voltage value is greater than or equal to the first preset contrast value and the marking value is the first preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a second preset value, the marking value switching module switches the marking value to be the first preset value;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value and the mark value is the first preset value, the mark value switching module keeps the mark value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the mark value is a second preset value, the mark value switching module keeps the mark value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the mark value is a third preset value, the mark value switching module switches the mark value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is the first preset value, the marking value switching module switches the marking value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a second preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a third preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is smaller than or equal to a third preset contrast value and the marking value is a second preset value, the marking value switching module switches the marking value to be a third preset value;
and when the real-time voltage value is less than or equal to a third preset contrast value and the marking value is a third preset value, the marking value switching module keeps the marking value unchanged.
According to the change of the marking value, the display module makes corresponding display adjustment:
when the marking value is a first preset value, the display module displays high-power information;
when the marking value is a second preset value, the display module displays the medium electric quantity information;
and when the marking value is a third preset value, the display module displays the low-power information.
Through this system, effectively solved because of the inaccurate problem of electric quantity demonstration that the voltage resilience when the lithium cell heavy current charges and discharges caused, also solved the inaccurate problem of electric quantity demonstration that the small amplitude voltage shake caused simultaneously.
Meanwhile, the problem of unstable electric quantity display is solved easily through a simple system, the expansibility is high, the lithium battery pack can be suitable for various lithium batteries with different capacities and specifications, and meanwhile, multi-level electric quantity can be actively set according to requirements, so that the electric quantity display is more accurate.
The specific embodiments described herein are merely illustrative of the spirit of the invention. Various modifications or additions may be made to the described embodiments or alternatives may be employed by those skilled in the art without departing from the spirit or ambit of the invention as defined in the appended claims.

Claims (8)

1. A method for displaying the charge and discharge capacity of a lithium battery is characterized by comprising the following steps:
s1: acquiring an initial voltage value of the lithium battery before the lithium battery enters a charge-discharge state;
s2: acquiring a real-time voltage value of the lithium battery after the lithium battery enters a charge-discharge state;
s3: calculating the electric quantity according to a preset method and an initial voltage value and a real-time voltage value, and obtaining a calculation result;
s4: and displaying the electric quantity information according to the calculation result.
2. The method for displaying the charging and discharging electric quantity of the lithium battery as claimed in claim 1, wherein the predetermined method comprises a first to a third predetermined contrast value, a first to a third predetermined value and a mark value, and further comprises the step of obtaining the mark value:
when the initial voltage value is greater than or equal to a first preset contrast value, marking the value as a first preset value;
when the initial voltage value is smaller than the first preset contrast value and larger than or equal to a third preset contrast value, marking the value as a second preset value;
and when the initial voltage value is smaller than a third preset contrast value, marking the value as a third preset value.
3. The method for displaying the discharged electric quantity of the lithium battery as claimed in claim 2, wherein the presetting method further comprises the step of switching the flag value according to the real-time voltage value and the flag value:
when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a first preset value, keeping the marking value unchanged;
when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a second preset value, switching the marking value to be a first preset value;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value and the marking value is the first preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the marking value is a second preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the marking value is a third preset value, switching the marking value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is the first preset value, switching the marking value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a second preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value, and the marking value is a third preset value, keeping the marking value unchanged;
when the real-time voltage value is smaller than or equal to a third preset contrast value and the marking value is a second preset value, switching the marking value to a third preset value;
and when the real-time voltage value is less than or equal to a third preset contrast value and the marking value is a third preset value, keeping the marking value unchanged.
4. The method for displaying the charging and discharging electric quantity of the lithium battery as claimed in any one of claims 1, 2 or 3, wherein the step S4:
when the marking value is a first preset value, displaying that the electric quantity information is high electric quantity;
when the marking value is a second preset value, displaying the electric quantity information as medium electric quantity;
and when the marking value is a third preset value, displaying that the electric quantity information is low electric quantity.
5. The utility model provides a lithium cell charge-discharge electric quantity display system, includes initial voltage acquisition module, real-time voltage acquisition module, calculation module and display module, wherein:
the initial voltage acquisition module is used for acquiring an initial voltage value of the lithium battery before the lithium battery enters a charge-discharge state;
the real-time voltage acquisition module is used for acquiring a real-time voltage value after the lithium battery enters a charge-discharge state;
the calculation module is used for calculating the electric quantity according to the initial voltage value and the real-time voltage value and a preset method, obtaining a calculation result and transmitting the calculation result to the display module;
and the display module is used for displaying the electric quantity information according to the calculation result.
6. The system for displaying the charging and discharging electric quantity of the lithium battery as claimed in claim 5, wherein the calculating module further comprises a marking value acquiring module:
when the initial voltage value is greater than or equal to a first preset contrast value, the marking value acquisition module marks the marking value as a first preset value;
when the initial voltage value is smaller than the first preset contrast value and larger than or equal to a third preset contrast value, the marking value acquisition module marks the marking value as a second preset value;
when the initial voltage value is smaller than the third preset contrast value, the marking value acquisition module marks the marking value as a third preset value.
7. The system for displaying the charging and discharging electric quantity of the lithium battery as claimed in claim 5, wherein the calculating module further comprises a mark value switching module:
when the real-time voltage value is greater than or equal to the first preset contrast value and the marking value is the first preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is greater than or equal to a first preset contrast value and the marking value is a second preset value, the marking value switching module switches the marking value to be the first preset value;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value and the mark value is the first preset value, the mark value switching module keeps the mark value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the mark value is a second preset value, the mark value switching module keeps the mark value unchanged;
when the real-time voltage value is smaller than the first preset contrast value and larger than or equal to the second preset contrast value, and the mark value is a third preset value, the mark value switching module switches the mark value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is the first preset value, the marking value switching module switches the marking value to be the second preset value;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a second preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is smaller than the second preset contrast value and larger than the third preset contrast value and the marking value is a third preset value, the marking value switching module keeps the marking value unchanged;
when the real-time voltage value is smaller than or equal to a third preset contrast value and the marking value is a second preset value, the marking value switching module switches the marking value to be a third preset value;
and when the real-time voltage value is less than or equal to a third preset contrast value and the marking value is a third preset value, the marking value switching module keeps the marking value unchanged.
8. The system for displaying the charge and discharge capacity of the lithium battery as claimed in claim 5, wherein:
when the marking value is a first preset value, the display module displays high-power information;
when the marking value is a second preset value, the display module displays the medium electric quantity information;
and when the marking value is a third preset value, the display module displays the low-power information.
CN201911111103.4A 2019-11-14 2019-11-14 Lithium battery charging and discharging electric quantity display method and system Pending CN110850313A (en)

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