CN112726116A - Washing machine and weighing method - Google Patents
Washing machine and weighing method Download PDFInfo
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- CN112726116A CN112726116A CN202011538736.6A CN202011538736A CN112726116A CN 112726116 A CN112726116 A CN 112726116A CN 202011538736 A CN202011538736 A CN 202011538736A CN 112726116 A CN112726116 A CN 112726116A
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- 238000005303 weighing Methods 0.000 title claims abstract description 196
- 238000005406 washing Methods 0.000 title claims abstract description 46
- 238000000034 method Methods 0.000 title claims abstract description 29
- 238000013459 approach Methods 0.000 claims description 13
- 238000001514 detection method Methods 0.000 description 5
- 239000003599 detergent Substances 0.000 description 5
- 238000012937 correction Methods 0.000 description 4
- 230000001052 transient effect Effects 0.000 description 4
- 230000000630 rising effect Effects 0.000 description 2
- 230000002159 abnormal effect Effects 0.000 description 1
- 230000004075 alteration Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000005540 biological transmission Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000005489 elastic deformation Effects 0.000 description 1
- 239000006260 foam Substances 0.000 description 1
- 230000005484 gravity Effects 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- 238000012549 training Methods 0.000 description 1
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 1
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- D—TEXTILES; PAPER
- D06—TREATMENT OF TEXTILES OR THE LIKE; LAUNDERING; FLEXIBLE MATERIALS NOT OTHERWISE PROVIDED FOR
- D06F—LAUNDERING, DRYING, IRONING, PRESSING OR FOLDING TEXTILE ARTICLES
- D06F34/00—Details of control systems for washing machines, washer-dryers or laundry dryers
- D06F34/14—Arrangements for detecting or measuring specific parameters
- D06F34/18—Condition of the laundry, e.g. nature or weight
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- D—TEXTILES; PAPER
- D06—TREATMENT OF TEXTILES OR THE LIKE; LAUNDERING; FLEXIBLE MATERIALS NOT OTHERWISE PROVIDED FOR
- D06F—LAUNDERING, DRYING, IRONING, PRESSING OR FOLDING TEXTILE ARTICLES
- D06F2103/00—Parameters monitored or detected for the control of domestic laundry washing machines, washer-dryers or laundry dryers
- D06F2103/02—Characteristics of laundry or load
- D06F2103/04—Quantity, e.g. weight or variation of weight
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Abstract
The invention belongs to the field of washing machines, and particularly relates to a washing machine and a weighing method, wherein the washing machine comprises: the roller comprises an outer cylinder and an inner cylinder coaxially arranged in the outer cylinder; the driving motor is used for driving the inner cylinder to rotate; the driving motor comprises a motor bearing, a mounting hole is formed in the bottom of the outer barrel, a bearing seat is arranged in the mounting hole, and the motor bearing extends into the outer barrel from the bearing seat and is fixedly connected with the bottom of the inner barrel; and the weighing module is arranged in the bearing seat and is used for weighing the load in the inner barrel. The invention realizes accurate weighing of the washing machine, avoids inaccurate weighing and long washing time caused by overlong logic judgment time, and achieves the purpose of saving washing time.
Description
Technical Field
The invention belongs to the field of washing machines, and particularly relates to a washing machine and a weighing method.
Background
The load of the washing machine in the current market is weighed and the power of the motor is used for weighing. However, the error of the power weighing method is large, and misjudgment is easy to occur when the load conditions are different. Thereby causing the problems of overlong washing time, excessive laundry detergent input amount, excessive water consumption and the like.
In summary, the existing weighing methods are various, but there is less demand for accurate weighing, and the demand of the market cannot be met.
The present invention has been made in view of this situation.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide a washing machine capable of accurately weighing and a weighing method.
To solve the above technical problems, a first object of the present invention is to provide a washing machine including
The roller comprises an outer cylinder and an inner cylinder coaxially arranged in the outer cylinder;
the driving motor is used for driving the inner cylinder to rotate; the driving motor comprises a motor bearing, a mounting hole is formed in the bottom of the outer barrel, a bearing seat is arranged in the mounting hole, and the motor bearing extends into the outer barrel from the bearing seat and is fixedly connected with the bottom of the inner barrel;
and the weighing module is arranged in the bearing seat and is used for weighing the load in the inner barrel.
Further optionally, the weighing module is a pressure sensor disposed in an inner ring of the bearing housing.
Further optionally, the pressure sensor is provided at a lower edge of the inner ring of the bearing housing.
The second purpose of the present invention is to propose a weighing method of the above washing machine, comprising the following steps:
s1, weighing the load in the inner cylinder by adopting a first weighing way, wherein the weighing step of the first weighing way comprises the following steps:
s11, before the load is put into the inner barrel, the weighing module weighs the inner barrel and outputs a weight A0;
S12, after the load is put into the inner barrel, the weighing module weighs the inner barrel again and outputs a weight A1;
S13, output load weight DeltaA1,△A1=A1-A0。
Further optionally, the method further comprises the following steps:
s2, weighing the load by adopting a second weighing way, and outputting the load weight B1;
S3, outputting the final load weight M ═ Δ a1+B1)/2。
Further optionally, before step S3, the following steps are also performed:
s21, comparing the load weight DeltaA obtained by the first weighing way1With the load weight B obtained in the second weighing path1An error of (2);
s22, current Δ A1And B1When the error of (b) is within the allowable error range, S3 is executed;
s23, current Δ A1And B1When the error of (2) is out of the allowable error range, returning to S12; obtaining the load weight Delta A by a first weighing waynObtaining the load weight B by a second methodnN is the number of weighing times until delta AnAnd BnThe error value of (1) is within the allowable error range, and the final load weight M is output as (delta A)n+Bn)/2。
Further optionally, in step S23, after the number of weighing times n reaches the set number, if the load weight Δ a obtained by the first weighing pathnWith the load weight B obtained in the second weighing pathnIf the error of (a) is still beyond the allowable error range, the weighing data with the error value of the two weighing approaches closest to the allowable error range is selected from the n times of weighing to output the final load weight M, wherein M is equal to (delta A)i+Bi) And/2, wherein i is the weighing times when the error values of the two weighing ways are closest to the allowable error range, and i is less than or equal to n.
Further optionally, the second weighing path is: and outputting the load weight by the power after the driving motor rotates.
A third object of the present invention is to provide another weighing method of the above washing machine, comprising the steps of:
s1, weighing the load in the inner cylinder by adopting a first weighing path, wherein the first weighing path comprises
S11, before the load is put in the inner barrel, the weighing module weighs the inner barrel and outputs a weight A0;
S12, after the load is put in the inner cylinder, the weighing module weighs the inner cylinder again and outputs a weight A1;
S13, output load weight DeltaA1,△A1=A1-A0。
S2, weighing the load by adopting a second weighing way, and outputting the load weight B1;
S21, comparing the load weight DeltaA obtained by the first weighing way1With the load weight B obtained in the second weighing path1An error of (2);
s22, current Δ A1And B1When the error of (b) is within the allowable error range, S3 is executed;
s23, current Δ A1And B1When the error of (2) is out of the allowable error range, returning to S12; obtaining the load weight Delta A by a first weighing waynObtaining the load weight B by a second methodnN is the number of weighing times until delta AnAnd BnWhen the error value of (b) is within the allowable error range, S3 is executed;
s3, outputting the final load weight M ═ Δ an+Bn)/2。
Further optionally, in step S23, the load weight Δ a obtained if the first weighing passnWith the load weight B obtained in the second weighing pathnIf the error of (a) is still beyond the allowable error range, the weighing data with the error value of the two weighing approaches closest to the allowable error range is selected from the n times of weighing to output the final load weight M, wherein M is equal to (delta A)i+Bi) And/2, wherein i is the weighing times when the error values of the two weighing ways are closest to the allowable error range, and i is less than or equal to n.
After adopting the technical scheme, compared with the prior art, the invention has the following beneficial effects:
1. the invention uses the pressure sensor in the bearing seat to weigh the load in the inner cylinder of the washing machine, and calculates the load amount in the inner cylinder by comparing the magnitude of the piezoelectric effect of the front bearing and the rear bearing. The invention can correct the piezoelectric weighing by power and eliminate the influence of abnormal factors, thereby achieving stable and accurate weight parameters.
2. The invention adopts two weighing ways to weigh the load, realizes accurate weighing of the washing machine, avoids inaccurate weighing and long washing time caused by overlong logic judgment time, and achieves the purpose of saving the washing time.
3. The invention adopts two weighing ways to weigh the load, realizes the accurate weighing of the washing machine, avoids excessive foam and difficult rinsing caused by excessive amount of automatically thrown laundry detergent, and achieves the purposes of reducing rinsing time and saving the laundry detergent.
The following describes embodiments of the present invention in further detail with reference to the accompanying drawings.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention, are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the invention without limiting the invention to the right. It is obvious that the drawings in the following description are only some embodiments, and that for a person skilled in the art, other drawings can be derived from them without inventive effort. In the drawings:
FIG. 1 is a schematic view of a washing machine according to an embodiment of the present invention;
FIG. 2 is an enlarged view of the portion A in FIG. 1 in a ratio of 1: 3;
fig. 3 is a weighing flow chart of an embodiment of the present invention.
Wherein: 1-outer cylinder; 2-a tripod; 3-motor belt pulley; 4-motor bearings; 5, bearing seats; 6-pressure sensor.
It should be noted that the drawings and the description are not intended to limit the scope of the inventive concept in any way, but to illustrate it by a person skilled in the art with reference to specific embodiments.
Detailed Description
In the description of the present invention, it should be noted that the terms "inside", "outside", and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, which are only for convenience in describing the present invention and simplifying the description, but do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation, and operate, and thus, should not be construed as limiting the present invention.
In the description of the present invention, it should be noted that, unless otherwise explicitly specified or limited, the terms "mounted," "connected," "contacting," and "communicating" are to be construed broadly, e.g., as meaning fixedly connected, detachably connected, or integrally connected; can be mechanically or electrically connected; may be directly connected or indirectly connected through an intermediate. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
The embodiment provides a washing machine, which comprises a drum, a driving motor and a weighing module. The roller comprises an outer cylinder 1 and an inner cylinder coaxially arranged in the outer cylinder 1; the driving motor is used for driving the inner cylinder to rotate; the driving motor comprises a motor bearing 4, a mounting hole is formed in the bottom of the outer barrel 1, a bearing seat 5 is arranged in the mounting hole, and the motor bearing 4 extends into the outer barrel 1 from the bearing seat 5 and is fixedly connected with the bottom of the inner barrel; the weighing module is arranged in the bearing seat 5 and is used for weighing the load in the inner barrel.
Specifically, as shown in fig. 1 and 2, the drum part of the washing machine comprises an outer drum 1, a tripod 2 is assembled at the bottom of the outer drum 1, a motor belt pulley 3 is fixed on the tripod 2, a mounting hole is formed in the bottom of the outer drum 1, a bearing seat 5 is assembled on the mounting hole, a motor bearing 4 extends into the inner part of the outer drum 1 and is fixedly connected with a bearing at the bottom of the inner drum through the bearing seat 5, the motor drives the motor belt pulley 3 to rotate according to the transmission working principle, the motor belt pulley 3 is fixed with the outer drum 1 through the tripod 2, the motor belt pulley 3 rotates to drive the motor bearing 4 to rotate, and the motor bearing 4 rotates to drive the inner. Motor bearing 4 is fixed through bearing frame 5, installs weighing module on the bearing frame 5, and weighing module detectable goes out the weight of load in the inner tube. Preferably, the weighing module is a pressure sensor 6 arranged in the inner ring of the bearing block 5. The pressure sensor 6 can detect the pressure applied by the inner cylinder to the motor bearing 4, and the controller judges the load weight in the inner cylinder according to the pressure. The pressure sensor 6 is a weight detection device, when the piezoelectric device is pressed to generate elastic deformation, the surface of the material can induce piezoelectric current, and the current is collected and processed by a chip, so that the weight of a detected object is detected. Since the bearing is pressed downward by gravity when a load is applied to the inner cylinder, it is preferable to provide the pressure sensor 6 at the lower edge of the inner ring of the bearing housing 5 for more accurate measurement.
According to the embodiment, on the basis of an original drum washing machine, the pressure sensor 6 is additionally arranged in an embedded mode, the pressure sensor 6 is installed on the outer drum 1 of the washing machine, and the load weight in the inner drum is accurately weighed, so that the washing time and the laundry detergent putting amount are accurately calculated.
The weighing method of the washing machine of the embodiment, as shown in the weighing flow chart shown in fig. 3, includes the following steps:
s1, weighing the load in the inner cylinder by adopting a first weighing way, wherein the weighing step of the first weighing way comprises the following steps:
s11, before the load is put into the inner barrel, the weighing module weighs the inner barrel and outputs a weight A0(ii) a After the user opens the washing machine, the controller is electrified to calibrate the weight of the empty barrel once through the weighing module and output the weight A of the empty barrel0;
S12, after the load is put into the inner barrel, the weighing module weighs the inner barrel again and outputs a weight A1(ii) a Accurately weighing after a user adds a load, performing weighing detection again through the pressure sensor before washing when the motor does not rotate, and outputting weighing data A1;
S13, output load weight DeltaA1,△A1=A1-A0。
Further optionally, the method further comprises the following steps:
s2, weighing the load by adopting a second weighing wayHeavy, output load weight is B1(ii) a S3, outputting the final load weight M ═ Δ a1+B1)/2。
In this embodiment, the second weighing approach may adopt a plurality of weighing manners, and one of the weighing manners may be: clothes weight B output by motor power after motor rotationn. The method specifically comprises the following steps: when the motor rotates, calculating the transient conduction angle of the motor; calculating the transient power consumed by the motor according to the transient conduction angle of the motor and the characteristic curve of the power supply signal of the motor; the transient power consumed by the motor is subjected to integral summation to obtain the work of the motor on a load; and finding the load weight corresponding to the work of the motor on the load according to the corresponding relation between the work and the load weight.
Another possible implementation is: controlling the washing machine to rotate at a set rotating speed with the load weight larger than the centrifugal force, acquiring vibration data detected by a vibration sensor in the rotating process, calculating a first amplitude of an outer cylinder of the washing machine in a first direction based on the vibration data, and searching a corresponding relation table of the amplitude and the load weight to determine the load weight corresponding to the first amplitude as the load weight; training according to a large amount of repeatedly tested data to obtain the corresponding relation between the amplitude of the outer drum of the washing machine and the load weight, acquiring the vibration data of the outer drum of the washing machine detected by the vibration sensor when the washing machine rotates at a set rotating speed, calculating the amplitude generated by the vibration of the outer drum of the washing machine according to the vibration data, inquiring a corresponding relation table of the amplitude and the load weight, and accurately determining the load weight by combining the correction of a correction rule.
Yet another possible implementation is: firstly, controlling a motor to enable the motor to reach a first preset rotating speed, enabling the motor to rotate at a constant speed at the first preset rotating speed, and measuring the electric energy of a load driven by the motor at the moment; then controlling the motor to accelerate the motor from a first preset rotating speed to a second preset rotating speed, measuring the rising electric energy when the motor rises from the first preset rotating speed to the second preset rotating speed, finally subtracting the difference value obtained by multiplying the electric energy rotating at the constant speed at the first preset rotating speed by a time correction parameter from the rising electric energy when the motor rises from the first preset rotating speed to the second preset rotating speed according to the detection result, calculating the corresponding load electric energy, and comparing the obtained load electric energy with a corresponding relation curve of the load electric energy and the load weight stored in a computer controller of the washing machine after the correction step, thereby determining the most approximate weight data. The invention has high detection precision and short detection time.
In the embodiment, the load is weighed by adopting two weighing ways, so that the condition that the weighing data obtained by a single weighing way has a large error is avoided, and the weighing accuracy is ensured.
Further optionally, before step S3, the following steps are also performed:
s21, comparing the load weight DeltaA obtained by the first weighing way1With the load weight B obtained in the second weighing path1An error of (2);
s22, current Δ A1And B1When the error of (b) is within the allowable error range, S3 is executed;
s23, current Δ A1And B1When the error of (2) is out of the allowable error range, returning to S12; obtaining the load weight Delta A by a first weighing waynObtaining the load weight B by a second methodnN is the number of weighing times until delta AnAnd BnThe error value of (1) is within the allowable error range, and the final load weight M is output as (delta A)n+Bn)/2。
The embodiment compares the weighing data of the two weighing approaches, and if the difference between the data obtained by the two weighing approaches is not large, namely within an allowable error range, the weighing results of the two weighing approaches are accurate. If the difference of the weighing data obtained by the two weighing approaches is large, namely the weighing data exceeds the allowable error range, the two weighing approaches are adopted for weighing for multiple times until the error values of the two weighing approaches are within the allowable error range, so that the accuracy of the weighing result is ensured.
Further optionally, in step S23, after the number of weighing times n reaches the set number, if the load weight Δ a obtained by the first weighing pathnWith the load weight B obtained in the second weighing pathnIs still out of the allowable error range, two of the n weighing times are selectedThe weighing data with the error value closest to the allowable error range of the weighing paths are used for outputting the final load weight M, wherein M is equal to (delta A)i+Bi) And/2, wherein i is the weighing times when the error values of the two weighing ways are closest to the allowable error range, and i is less than or equal to n.
In order to avoid that the excessive weighing operation affects the subsequent washing time, the present embodiment prevents the excessive weighing times by setting the allowable maximum weighing times, i.e. the set times, and the set times can be adjusted according to the user's needs, and can also be directly set in the controller and can not be changed. For example, the maximum number of times of weighing is set to 5 times, and after 5 times of weighing is performed by adopting two weighing approaches, the results of the two times of weighing both exceed the allowable error range, and then the program selects and outputs one time of weighing data with the error closest to the allowable error range from the 5 times of weighing.
And finally, after the accurate weighing process is finished, calculating the washing time and the detergent input amount according to the output final load weight, and starting to enter a normal washing process.
A third objective of the present invention is to provide another weighing method of the above washing machine, such as the weighing flowchart shown in fig. 3, including the following steps:
s1, weighing the load in the inner cylinder by adopting a first weighing way, wherein the first weighing way comprises
S11, before the load is put in the inner barrel, the weighing module weighs the inner barrel and outputs a weight A0;
S12, after the load is put in the inner cylinder, the weighing module weighs the inner cylinder again and outputs a weight A1;
S13, output load weight DeltaA1,△A1=A1-A0。
S2, weighing the load by adopting a second weighing way, and outputting the load weight B1;
S21, comparing the load weight DeltaA obtained by the first weighing way1With the load weight B obtained in the second weighing path1An error of (2);
s22, current Δ A1And B1Error of (2) in the allowable errorWhen the range is within, executing S3;
s23, current Δ A1And B1When the error of (2) is out of the allowable error range, returning to S12; obtaining the load weight Delta A by a first weighing waynObtaining the load weight B by a second methodnN is the number of weighing times until delta AnAnd BnIs within the allowable error range, S3 is performed;
s3, outputting the final load weight M ═ Δ an+Bn)/2。
Further optionally, in step S23, the load weight Δ a obtained if the first weighing passnWith the load weight B obtained in the second weighing pathnIf the error of (a) is still beyond the allowable error range, the weighing data with the error value of the two weighing approaches closest to the allowable error range is selected from the n times of weighing to output the final load weight M, wherein M is equal to (delta A)i+Bi) And/2, wherein i is the weighing times when the error values of the two weighing ways are closest to the allowable error range, and i is less than or equal to n.
Although the present invention has been described with reference to a preferred embodiment, it should be understood that various changes, substitutions and alterations can be made herein without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (10)
1. A washing machine is characterized by comprising
The roller comprises an outer cylinder and an inner cylinder coaxially arranged in the outer cylinder;
the driving motor is used for driving the inner cylinder to rotate; the driving motor comprises a motor bearing, a mounting hole is formed in the bottom of the outer barrel, a bearing seat is arranged in the mounting hole, and the motor bearing extends into the outer barrel from the bearing seat and is fixedly connected with the bottom of the inner barrel;
and the weighing module is arranged in the bearing seat and is used for weighing the load in the inner barrel.
2. A washing machine as claimed in claim 1 wherein the weighing module is a pressure sensor disposed in an inner ring of the bearing housing.
3. A washing machine as claimed in claim 2 wherein the pressure sensor is provided at the lower edge of the inner ring of the bearing housing.
4. A weighing method of a washing machine according to any one of claims 1 to 3, characterized by comprising the steps of:
s1, weighing the load in the inner cylinder by adopting a first weighing way, wherein the weighing step of the first weighing way comprises the following steps:
s11, before the load is put into the inner barrel, the weighing module weighs the inner barrel and outputs a weight A0;
S12, after the load is put into the inner barrel, the weighing module weighs the inner barrel again and outputs a weight A1;
S13, output load weight DeltaA1,△A1=A1-A0。
5. The weighing method according to claim 4, further comprising the steps of:
s2, weighing the load by adopting a second weighing way, and outputting the load weight B1;
S3, outputting the final load weight M ═ Δ a1+B1)/2。
6. Weighing method according to claim 5, characterised in that before step S3, the following steps are also carried out:
s21, comparing the load weight DeltaA obtained by the first weighing way1With the load weight B obtained in the second weighing path1An error of (2);
s22, current Δ A1And B1When the error of (b) is within the allowable error range, S3 is executed;
s23, current Δ A1And B1When the error of (2) is out of the allowable error range, returning to S12; obtaining the load weight Delta A by a first weighing waynObtaining the load weight B by a second methodnN is the number of weighing times until delta AnAnd BnThe error value of (1) is within the allowable error range, and the final load weight M is output as (delta A)n+Bn)/2。
7. The weighing method according to claim 6, wherein in step S23, after the number of weighing times n reaches the set number, the load weight Δ A is obtained if the first weighing pass is the first weighing passnWith the load weight B obtained in the second weighing pathnIf the error of (a) is still beyond the allowable error range, the weighing data with the error value of the two weighing approaches closest to the allowable error range is selected from the n times of weighing to output the final load weight M, wherein M is equal to (delta A)i+Bi) And/2, wherein i is the weighing times when the error values of the two weighing ways are closest to the allowable error range, and i is less than or equal to n.
8. Weighing method according to any one of claims 5-7, characterised in that the second weighing pass is: and outputting the load weight by the power after the driving motor rotates.
9. A weighing method of a washing machine according to any one of claims 1 to 3, characterized by comprising the steps of:
s1, weighing the load in the inner cylinder by adopting a first weighing path, wherein the first weighing path comprises
S11, before the load is put in the inner barrel, the weighing module weighs the inner barrel and outputs a weight A0;
S12, after the load is put in the inner cylinder, the weighing module weighs the inner cylinder again and outputs a weight A1;
S13, output load weight DeltaA1,△A1=A1-A0。
S2, weighing the load by adopting a second weighing way, and outputting the load weight B1;
S21, comparing the load weight DeltaA obtained by the first weighing way1With the load weight B obtained in the second weighing path1An error of (2);
s22, current Δ A1And B1When the error of (b) is within the allowable error range, S3 is executed;
s23, current Δ A1And B1When the error of (2) is out of the allowable error range, returning to S12; obtaining the load weight Delta A by a first weighing waynObtaining the load weight B by a second methodnN is the number of weighing times until delta AnAnd BnIs within the allowable error range, S3 is performed;
s3, outputting the final load weight M ═ Δ an+Bn)/2。
10. Weighing method according to claim 9, characterised in that in step S23, the load weight Δ a is obtained if the first weighing pass is carried outnWith the load weight B obtained in the second weighing pathnIf the error of (a) is still beyond the allowable error range, the weighing data with the error value of the two weighing approaches closest to the allowable error range is selected from the n times of weighing to output the final load weight M, wherein M is equal to (delta A)i+Bi) And/2, wherein i is the weighing times when the error values of the two weighing ways are closest to the allowable error range, and i is less than or equal to n.
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