Once the design of the structural parameters for the key components of the chisel-type variable-rate layered deep-fertilization device is completed, the determination of the motion parameters of the fertilization device becomes imperative. Among these motion parameters, the forward speed is a primary factor. It is essential to conduct in-depth exploration into how the forward speed impacts the layered and variable-rate fertilization operation effects of the fertilization device. This exploration aims to enhance the overall quality of the layered and variable-rate fertilization operations, ensuring that the fertilization process is more precise, efficient, and better adapted to the specific needs of different soil conditions and crop growth requirements.
2.5.1. Influence of Forward Speed on the Effect of Layered Fertilization Operation
In order to thoroughly investigate the correlations among the forward speed, the fertilization amount of each layer, and the fertilization uniformity, it is necessary to conduct an experimental analysis. Nevertheless, collecting field test data poses significant challenges. Therefore, a simulation analysis grounded in the discrete element method must be adopted for research purposes. A discrete element simulation model is constructed based on the calibrated intrinsic parameters and contact parameters, which serves as a crucial tool for the in-depth exploration of these relationships.
Based on the structural design of the fertilization device described above, the three-dimensional model was drawn using Solidworks 2022 (Dassault Systèmes Co., Ltd., Waltham, MA, USA), and its structural dimensions are shown in
Figure 7.
(1) Calibration of discrete element simulation parameters.
First, complete the parameter calibration of fertilizer particles according to the same method as for soil parameter calibration [
35], conduct experimental verification, and obtain the intrinsic parameters of fertilizer particles as well as the contact parameters of fertilizer–fertilizer, fertilizer–soil, fertilizer–fertilization pipe, and soil–fertilization pipe. The results are shown in
Table 5 [
36].
Use EDEM 2020 (DEM Solutions Co., Ltd., Edinburgh, UK) to establish a soil tank model of saline–alkali soil after harrowing. The specific dimensions are 1500 mm in length, 800 mm in width, and 300 mm in height. A discrete element simulation model of the layered fertilization operation of the chisel-type depth-adjustable sub-soiling and fertilization device is shown in
Figure 8.
Establish a model of the chisel-type depth-adjustable sub-soiling and fertilizing device. According to the agronomic requirements for cotton sowing in the Yellow River Delta, set the forward speeds to be 3 km/h, 4 km/h, 5 km/h, 6 km/h, 7 km/h, 8 km/h, 9 km/h, and 10 km/h, respectively, with a fertilization rate of 435 kg/hm
2. The discrete element simulation process of the layered fertilization operation is shown in
Figure 9.
2.5.2. Influence of Forward Speed on the Effect of Variable-Rate Fertilization Operation
During the operation of the electronically controlled fertilizer discharging system, only the fertilization amount per unit area during operation needs to be input into the system, while the speed-measuring radar feeds in the forward speed of the entire machine. Based on these inputs, a mathematical model can be established by taking into account the relationships among parameters such as the forward speed of the entire machine, the fertilization amount per unit area, and the amount of fertilizer discharged in a single rotation of the fertilizer discharging device. This model is used to express the reasonable matching relationship between the forward speed and the rotational speed of the fertilization device. The mathematical model involving key parameters, such as the rotational speed of the fertilizer discharging device (that is, the rotational speed of the planetary gear reduction motor) and the forward speed, is presented as follows.
In the formula, the symbols represent the following:
—The fertilized area at time t; hm2;
—Fertilization row spacing, cm;
—The number of fertilizer distributors;
—The forward speed of the whole machine, km/h;
—Fertilization amount per unit area, kg/hm2;
—Fertilizer discharge amount per single rotation of the fertilizer applicator, g/r;
—The amount of fertilizer applied at time t, kg/hm2;
—The rotational speed of the fertilizer distributor (i.e., the rotational speed of the planetary gear reduction motor) at time t, r/min.
Through the mathematical model, the relationship between the forward speed of the whole machine and the rotational speed of the fertilizer discharging device can be calculated as follows:
It can be observed from the above formula that the relationship between the forward speed of the entire machine and the rotational speed of the fertilizer discharging device is associated with parameters such as the amount of fertilizer discharged per single rotation of the fertilizer discharging device, the number of fertilizer discharging devices, the amount of fertilizer applied per unit area, and the fertilization row spacing. Among them, according to the agronomic requirements for cotton planting, the amount of fertilizer applied per unit area is approximately 400 kg/hm2, the fertilization row spacing is 76 cm, and the number of fertilizer discharging devices is related to the structural design and performance of the entire machine. Therefore, the primary influencing factor of the relationship between the forward speed of the entire machine and the rotational speed of the fertilizer discharging device is the amount of fertilizer discharged per single rotation of the fertilizer discharging device.
The external fluted-wheel electronically controlled fertilizer discharging device is selected as the fertilization device. The electronically controlled fertilizer discharging device is the core component for realizing variable-rate fertilization. The main methods for it to achieve variable-rate fertilization are to change the rotational speed and the effective working width. The amount of fertilizer discharged per single rotation of the fertilizer discharging device is mainly related to the effective working width, and their basic relationship is
In the formula, the symbols represent the following:
—Proportional coefficient;
—The effective working width of the electronically controlled fertilizer-discharging device, mm;
—constant.
(1) Experimental research on the quantitative relationship between fertilizer discharge per single rotation and effective working width.
To measure the quantitative relationship between the amount of fertilizer discharged per single rotation of the selected external fluted-wheel electronically controlled fertilizer discharging device and its effective working width, a fertilization operation experiment was carried out.
① Experimental materials and instruments.
Controlled-release nitrogen fertilizer (with a particle size of about 2 mm), an electronic balance, a stopwatch, a seeder equipped with an external fluted-wheel electronically controlled fertilizer discharging device, and a tractor equipped with an automatic driving system as the power source (which can ensure uniform forward movement).
② Experimental method.
Relevant tests on the external fluted-wheel electronically controlled fertilizer-discharging device were conducted in accordance with the
Technical Specification for Quality Evaluation of Fertilizer Machinery NY/T1003-2006 [
37].
The effective working widths of the external fluted-wheel electronically controlled fertilizer-discharging device were, respectively, set at 20 mm, 30 mm, and 40 mm. Subsequently, the rotational speeds were adjusted to 20, 25, 30, 35, and 40 r/min through the electric drive system. The amount of fertilizer discharged by the fertilizer-discharging device within one minute was measured. Fertilizer was collected using collection bags, and the weight of the fertilizer in the collection bags was measured with an electronic balance. Each data combination was tested three times, and after recording the data, the average value was calculated.
Numerical analysis of the quantitative relationship between the amount of fertilizer discharged per single rotation and the effective working width was completed to accurately calibrate the control parameters of the electric-driven fertilization system.
(2) Determination of the optimal parameter matching relationship between forward speed and rotational speed of the fertilizer discharging device.
According to the research conclusions presented in the previous text, when the forward speed rises to 4 km/h, there will be no intermixing among different layers during the layered fertilization process. When the speed reaches a range of 5–7 km/h, the layered fertilization effect is at its optimum. Therefore, a whole-machine speed within the range of 5–7 km/h is more suitable. Consequently, when the experimental forward speeds are set at 5 km/h, 5.5 km/h, 6 km/h, 6.5 km/h, and 7 km/h, the error between the set target fertilization amount and the actual fertilization amount is measured. By analyzing the error between the actual fertilization amount at each speed and the fertilization amount set by the system, the accuracy of the system is evaluated, and the optimal parameter-matching relationship between the forward speed and the rotational speed under different working widths is determined.
① Experimental materials and instruments.
Controlled release nitrogen fertilizer (with a particle size of about 2 mm), an electronic balance, a stopwatch, a seeder equipped with an external fluted-wheel electronically controlled fertilizer discharging device, and a tractor equipped with an automatic driving system as the power source (which can ensure uniform forward movement).
② Experimental site.
The Saline–Alkali Land Agricultural Experiment and Demonstration Base in the Yellow River Delta Agricultural High-tech Industry Demonstration Zone, Dongying City, Shandong Province.
③ Experimental method.
Relevant tests on the external fluted-wheel electronically controlled fertilizer-discharging device were carried out in accordance with the
Technical Specification for Quality Evaluation of Fertilizer Machinery NY/T1003-2006 [
37].
The seeder has 4 fertilizer discharging ports. The effective working widths for fertilizer discharge of the fertilizer discharging device are selected as 20 mm, 30 mm, and 40 mm. According to agronomic requirements, the target fertilization amount is set at 435 kg/hm
2. The forward speeds of the tractor are set at 5 km/h, 5.5 km/h, 6 km/h, 6.5 km/h, and 7 km/h, respectively. The amount of fertilizer discharged by the fertilizer discharging device within a travel of 30 m is measured. Fertilizer is collected using collection bags, and the weight of the fertilizer in the collection bags is measured using an electronic balance to calculate the actual fertilization amount. Each data combination is tested 3 times. After recording the data, the coefficient of variation and standard deviation of the consistency of the fertilizer discharging amount at each fertilizer discharging port are calculated. According to the requirements of the
Technical Specification for Quality Evaluation of Fertilizer Machinery NY/T1003-2006 [
37], the coefficient of variation in the consistency of the fertilizer discharging amount at each fertilizer discharging port should be ≤13%.
In the formula, the symbols represent the following:
—The average of the average fertilizer-discharging amounts of each fertilizer-discharging port, g;
—The average fertilizer-discharging amount of each fertilizer-discharging port, g;
—The standard deviation of the consistency of the fertilizer-discharging amount of each fertilizer-discharging port, g;
—The coefficient of variation in the consistency of the fertilizer-discharging amount at each fertilizer-discharging port, %;
n—The number of fertilizer-discharging ports.
2.5.3. Field Test Verification
(1) Field test of fertilizer application rate deviation.
The optimal parameter combination test verification adopts the fertilizer application accuracy test method. The core evaluation parameter of fertilizer application accuracy is the fertilizer application rate deviation.
① Experimental materials and instruments.
Controlled release nitrogen fertilizer (with a particle size of about 2 mm), an electronic balance, a stopwatch, a seeder equipped with an external fluted-wheel electronically controlled fertilizer discharging device, powered by a Dongfanghong 704 tractor (China Yituo Group Co., Ltd., Luoyang, China) equipped with an automatic driving system (which can ensure uniform forward movement), etc. As shown in
Figure 10.
② Experimental site.
The Saline–Alkali Land Agricultural Experiment and Demonstration Base in the Yellow River Delta Agricultural High-tech Industry Demonstration Zone, Dongying City, Shandong Province.
③ Experimental method.
Relevant tests on the external fluted-wheel electronically controlled fertilizer-discharging device were carried out in accordance with the
Technical Specification for Quality Evaluation of Fertilizer Machinery NY/T1003-2006 [
37].
The effective working width for fertilizer discharge of the fertilizer discharging device is selected as 30 mm. According to agronomic requirements, the target fertilizer application rate is set at 435 kg/hm
2 and the working width of the seeder is 2.5 m. The amount of fertilizer discharged by the fertilizer discharging device within a travel of 30 m is measured. The fertilizer discharge amount is mainly obtained by measuring the weight difference in the fertilizer in the fertilizer tank before and after operation. Each data combination is tested 5 times. After recording the data, the fertilizer application rate deviation is calculated. According to the requirements of the
Technical Specification for Quality Evaluation of Fertilizer Machinery NY/T1003-2006 [
37], each fertilizer application rate deviation should be ≤15%.
In the formula, the symbols represent the following:
—Fertilizer application rate deviation, %;
—The mass of fertilizer in the fertilizer tank before operation, kg;
—The mass of fertilizer in the fertilizer tank after operation, kg;
—The area of fertilization operation, m2;
—Target fertilization amount, kg/hm2.
Operation parameter determination: Set the operation parameters according to the optimized best combination of parameters after the simulation test for the field test.
(2) Field test of the effect of layered fertilization.
To verify the reliability of the discrete element simulation test and operation of the chisel-type variable-rate deep-layered fertilization device suitable for saline–alkali soil, a field test was carried out to verify the effect of layered fertilization.
① Experimental materials and instruments.
Controlled-release nitrogen fertilizer (with a particle size of about 2 mm), an excavating shovel, a meter stick, a seeder equipped with a chisel-type variable-rate deep-layered fertilization device powered by a Deutz-Fahr 1804 tractor equipped with an automatic driving system (which can ensure uniform forward movement), etc.
② Experimental site.
The Saline–Alkali Land Agricultural Experiment and Demonstration Base in the Yellow River Delta Agricultural High-tech Industry Demonstration Zone, Dongying City, Shandong Province.
③ Experimental method.
Determination of the coefficient of variation in fertilizer quantity uniformity in each soil layer: The seeder equipped with the chisel-type variable-rate deep-layered fertilization device is in operation. Since it is difficult to collect the distribution of fertilizer particles in the soil, the soil cross-section after the fertilization operation is taken in the test. Count the number of fertilizer particles in each layer and calculate the coefficient of variation in fertilizer quantity uniformity in each soil layer. Select an operation length of 10 m, dissect the soil every 1 m, complete 10 data statistics, and calculate the average value of the coefficient of variation in fertilizer quantity uniformity in each soil layer. The calculation formula of the coefficient of variation in fertilizer quantity uniformity is
In the formula, the symbols represent the following:
—Coefficient of variation in fertilizer quantity uniformity in each layer;
—The number of fertilizer particles in the cross-section of each layer;
—The average number of fertilizer particles in the cross-section of each layer.
Determination of operation parameters: Set the operation parameters for the field experiment according to the optimal combination parameters optimized from the simulation experiment.