A method for measuring and calculating the pouring water volume of an electric kettle

Abstract

The application discloses a method for measuring and calculating the water pouring volume of an electric kettle, which combines the finite element method and the polynomial fitting method to accurately measure the volume of the electric kettle corresponding to different heights, greatly improves the efficiency of the surveying and mapping link, and overcomes the defects of the traditional electric kettle that cannot accurately display the residual water volume in the electric kettle when pouring water, and can accurately estimate the volume of the poured water, and realizes the constant-volume pouring.

Description

Technical Field

[0001] This invention belongs to the field of water volume measurement technology, specifically relating to a method for measuring the amount of water poured from an electric kettle. Background Technology

[0002] Electric kettles are widely used in households and are an indispensable kitchen appliance in every family. With the continuous advancement of technology, people have also put forward more requirements for the functions of electric kettles. In practice, because electric kettles need to be tilted when used, it is impossible to accurately measure the amount of water poured out.

[0003] Chinese patent CN111084548B discloses a kettle that displays the water volume. The kettle includes a kettle body, an attitude sensor located on the kettle body, a calculation unit, and a display screen. The attitude sensor monitors the tilt angle when the kettle body is tilted. The calculation unit calculates the water volume in the kettle body based on the tilt angle and the structural data of the kettle body, and displays the water volume information on the display screen so that users can easily check the water volume in the kettle body. Summary of the Invention

[0004] To address the aforementioned problems, the present invention aims to provide a method for calculating the volume of water poured from an electric kettle. A gyroscope is installed below the electric kettle, and the finite element method and polynomial fitting method are combined to accurately measure the kettle's volume at different heights. This overcomes the drawback of traditional electric kettles that cannot accurately display the remaining water volume when pouring water, and simultaneously allows for accurate estimation of the poured water volume, achieving a fixed-volume pouring method.

[0005] The specific technical solution is as follows:

[0006] A method for calculating the amount of water poured from an electric kettle includes the following steps:

[0007] 1) Tilting the electric kettle, the tilt angle θ is sensed by the gyroscope on the control panel located below the electric kettle;

[0008] 2) Establish a three-dimensional model of the electric kettle, and discretize the electric kettle into n layers along the vertical height direction;

[0009] 3) An unstructured mesh model of the 3D model is created using ICEM preprocessing software;

[0010] 4) The physical properties of the mesh were initialized using Fluent finite volume method software;

[0011] 5) Use post-processing software and the Fortrans language to derive the recursive formulas for calculating the volume and height of the 1st layer, the 1+2nd layer, ..., the 1+2nd + ... + nth layer;

[0012] 6) Calculate the volume and height of the 1st floor, the (1+2)th floor, ..., the (1+2+...+n)th floor respectively.

[0013] 7) Construct a system of equations Use the least squares method to solve for the coefficients a0, a1, a2, ..., a n Thus, we obtain formula (1).

[0014] V(h)=a0h m +a1h m-1 +a2h m-2 +…+a m-1 h+a m (1)

[0015] 8) Combining the geometric features of the electric kettle and the cylinder, obtain the formula (2) relating the liquid level, maximum water volume, bottom diameter, and tilt angle.

[0016]

[0017] V out =V(h) max )-V(h) (3)

[0018] Where V(h) is the functional relationship between volume V and liquid level height h, and the relationship between volume and height is obtained by polynomial fitting, where m is the highest power, ranging from 2 to 4, and H... max The height of the kettle when it is laid flat with the remaining water in it is d, the diameter of the bottom of the electric kettle is θ, and the tilt angle is V. out To calculate the volume of water poured, V(h) max () represents the water volume before it was poured out.

[0019] Furthermore, the electric kettle is equipped with a display screen showing the amount of water poured. After pressing the heating switch, the display screen resets to the maximum water volume, i.e., the displayed value is V(h). max The electric kettle tilted, and its display showed a value of V. out .

[0020] The beneficial effects of this invention are as follows:

[0021] (1) This invention combines the finite element method and the polynomial fitting method to accurately measure the volume of electric kettles at different heights, which greatly improves the efficiency and accuracy of the surveying process.

[0022] (2) This invention overcomes the drawback of traditional electric kettles not being able to accurately display the remaining water volume when pouring water, and can accurately estimate the volume of water poured out, thus achieving fixed-capacity pouring.

[0023] (3) The present invention uses an LCD screen to display the volume in the electric kettle, and can accurately read the remaining volume of liquid even in a dark environment, so there is no need to worry about pouring too much or too little water. Attached Figure Description

[0024] Figure 1 This is a schematic diagram of the overall structure of the electric kettle of the present invention;

[0025] Figure 2 This is a schematic diagram of the control board.

[0026] Figure 3 A diagram illustrating the tipping of an electric kettle;

[0027] Figure 4 This is a flowchart of the calculation process of the present invention;

[0028] Figure 5 The fitted data is shown in the example diagram;

[0029] In the picture: 1. Electric kettle; 2. Display screen; 3. Control board; 31. Gyroscope. Detailed Implementation

[0030] The present invention will be further described below with reference to the accompanying drawings and embodiments, but the scope of protection of the present invention is not limited thereto.

[0031] Example

[0032] The three-dimensional structure of the electric kettle 1 used in this embodiment is as follows: Figure 1 As shown, it is also equipped with a display screen 2 that shows the remaining water level in the electric kettle 1.

[0033] The calculation process for the amount of water poured from electric kettle 1 is as follows: Figure 4 As shown, it includes the following steps:

[0034] 1) Tilt the electric kettle 1, as follows Figure 2 As shown, the tilt angle θ is sensed by the gyroscope 31 on the control board 3 located below the electric kettle 1, such as... Figure 3 As shown, the height of the electric kettle 1 when it is laid flat with the remaining water not tilted is H. max The height of the liquid level when it is poured is h;

[0035] 2) Establish a three-dimensional model of electric kettle 1, and discretize the vertical height direction of electric kettle 1 into n layers;

[0036] 3) An unstructured mesh model of the 3D model is created using ICEM preprocessing software;

[0037] 4) The physical properties of the mesh were initialized using Fluent finite volume method software;

[0038] 5) Use post-processing software and the Fortrans language to derive the recursive formulas for calculating the volume and height of the 1st layer, the 1+2nd layer, ..., the 1+2nd + ... + nth layer;

[0039] 6) Calculate the volume and height of the 1st floor, the (1+2)th floor, ..., the (1+2+...+n)th floor respectively.

[0040] 7) Construct a system of equations Use the least squares method to solve for the coefficients a0, a1, a2, ..., a n Thus, we obtain formula (1).

[0041] V(h)=a0h m +a1h m-1 +a2h m-2 +…+a m-1 h+a m (1)

[0042] 8) Combining the geometric features of the electric kettle 1 and the cylinder, obtain the relationship formula (2) between the liquid level height, maximum water volume, bottom diameter and tilt angle.

[0043]

[0044] V out =V(h) max )-V(h) (3)

[0045] Where V(h) is the functional relationship between volume V and liquid level height h, and the relationship between volume and height is obtained by polynomial fitting, where m is the highest power, ranging from 2 to 4, and H... max The height of the kettle when it is laid flat with the remaining water in it is d, the bottom diameter of the electric kettle 1 is θ, and the tilt angle is V. out To calculate the volume of water poured, V(h) max () represents the water volume before it was poured out.

[0046] After pressing the heating switch, the display screen (2) is reset to display the maximum water volume, that is, the displayed value is V(h). max The electric kettle tilted, and its display showed a value of V. out .

[0047] In this embodiment, m is 3 and n is 50.

[0048] The results are as follows Figure 5 As shown, the root mean square error (RMSE) = 0.97 > 0.9, indicating a good fit. The fitting formula is shown below.

[0049] V(h) = -12.24 + 7.92h + 0.0046h 2 -0.000005h3 。

Claims

1. A method for calculating the amount of water poured from an electric kettle, characterized in that... Includes the following steps: 1) Tilting the electric kettle (1), the tilt angle θ is sensed by the gyroscope (31) on the control board (3) located below the electric kettle (1); 2) Establish a three-dimensional model of the electric kettle (1) and discretize the electric kettle (1) into n layers in the vertical height direction; 3) An unstructured mesh model of the 3D model is created using ICEM preprocessing software; 4) The Fluent finite volume method software was used to initialize the physical properties of the mesh; 5) Use post-processing software and the Fortrans language to derive the recursive formulas for calculating the volume and height of the 1st layer, the 1+2nd layer, ..., the 1+2nd + ... + nth layer; 6) Calculate the volume and height of the 1st floor, the (1+2)th floor, ..., the (1+2+...+n)th floor. 7) Construct a system of equations Solve for the coefficients using the least squares method. Thus, we obtain formula (1). （1） 8) Combining the geometric features of the electric kettle (1) and the cylinder, obtain the formula (2) relating the liquid level, maximum water volume, bottom diameter, and tilt angle. （2） （3） Where V(h) is the functional relationship between volume V and liquid level height h, and the relationship between volume and height is obtained by polynomial fitting, where m is the highest power, ranging from 2 to 4, and H... max The height of the kettle when it is laid flat with the remaining water in it is d, the bottom diameter of the electric kettle (1) is θ, and the tilt angle is V. out To calculate the volume of water poured, V(h) max () represents the volume of water before it was poured out; The electric kettle (1) is equipped with a display screen (2) that shows the amount of water poured. After pressing the heating switch, the display screen (2) is reset to the maximum water volume, that is, the displayed value is V(h). max The electric kettle, after tipping over, displays a value of V. out .

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