3.1. Performance Test on the Effect of Different Terrain Conditions on the Sowing Depth of a Striped Seeder
3.1.1. Definition and Control of Experimental Variables
In order to explore the impact of different terrain conditions on the stability of the sowing depth of the striped seeder, three typical terrain conditions were selected as research objects:
Flat Soil Terrain (
Figure 16a), simulating ideal terrain conditions where the operation depth of the opener is relatively stable. Raised Soil Terrain and Sunken Soil Terrain (
Figure 16b,c), simulating soil uplift and depression to analyze the possible fluctuations of sowing depth.
By manually controlling and arranging the experimental site, it was ensured that the terrain conditions met the design standards. In addition, a system combining the depth-limiting wheel and laser sensor was used to monitor the sowing depth in real-time and collect the corresponding depth data.
3.1.2. Strip Seeder Performance Response Analysis
The performance response analysis of the striped seeder is the core part of evaluating the operation performance of the seeder under different terrain conditions. The objective is to study the impact of terrain undulation on the detection of sowing depth, quantify the performance of the seeder under various terrain conditions, and provide data support for design optimization.
Simulation experiments on flat, raised, and depressed terrains were conducted to analyze the influence of different terrain characteristics on sowing depth. Raised terrain may lead to shallower sowing depths, while depressed terrain may result in deeper sowing depths. These fluctuations are directly related to the contact state between the soil surface and the depth-limiting wheel, as well as the working depth of the opener.
The experiment uses the mean, standard deviation, and deviation of sowing depth as the main performance indicators. Combined with the sensor feedback data under different terrain conditions, the stability and uniformity of the seeder’s operation are evaluated. By extracting and analyzing the slope matrix characteristic values (such as the mean and standard deviation), a quantitative relationship between terrain factors and sowing depth deviation is established.
During the experiment, both the laser sensor and the array sensor were used to simultaneously collect sowing depth and terrain data, and the data were processed by filtering, smoothing, and normalization to ensure the accuracy of the analysis. Principal Component Analysis (PCA) was used to extract key features of the data, removing redundant information and providing a simplified model for predicting sowing depth deviations.
Based on the experimental analysis, the key parameters of the seeder (such as the position of the depth-limiting wheel and sowing speed) were adjusted to improve its ability to adapt to complex terrain conditions, thus ensuring the quality and efficiency of the sowing operation.
3.3. Data Analysis and Model Establishment
In this experiment, the data analysis involved converting the distance matrix obtained from the array sensor into a slope matrix. After denoising, smoothing, and normalization, the feature values (slope mean, slope standard deviation, slope range) were extracted. Each set of feature values corresponds to a deviation value of the sowing depth detection. Finally, Principal Component Analysis (PCA) was used to explain the variance of the feature values and to establish the model.
Firstly, the data obtained from the array sensor underwent preprocessing. Denoising was performed using a combination of median filtering and moving average filtering, aiming to eliminate noise interference and ensure the data were smooth and continuous. Then, normalization was performed using the Z-Score standardization method, which transformed the data into a form with a mean of 0 and a standard deviation of 1. The specific calculation formula is: . Where is the original data, is the mean, and is the standard deviation.
Based on the denoised and normalized data, a 6 × 6 slope matrix was generated by calculating the local slope of the spatial points. The slope calculation method utilizes the gradient in the X and Y coordinate directions, derived using finite difference formulas. The calculation is based on a height matrix, as illustrated by the 3 × 3 grid in
Figure 19, where each cell (i,j) represents a specific terrain height value. For example, the center cell (1,1) is surrounded by neighboring cells in all directions, and the height differences between these neighboring cells are used to compute gradients in the X and Y directions. These gradients are then combined to determine the slope at each internal point of the grid, providing a detailed representation of terrain steepness. To ensure data validity, the slope matrix calculation only considers non-boundary points, resulting in a 6 × 6 region for the final slope matrix. The slope calculation formula is as follows:
Based on the slope matrix, three key feature values were extracted: slope mean (), slope standard deviation (), and slope range (). These features are used to describe the overall characteristics of the terrain slope: the slope mean reflects the overall slope level, the slope standard deviation describes the degree of slope fluctuation, and the slope range represents the difference between the maximum and minimum slopes, reflecting the degree of slope dispersion. These feature values were extracted as input variables and correlated with the corresponding sowing depth deviation values.
In the data analysis, Principal Component Analysis (PCA) was used to reduce the dimensionality of the feature values. PCA is a commonly used dimensionality reduction technique that transforms multiple correlated original variables into a set of new, uncorrelated variables (principal components) through linear transformations. The principal components are ordered by variance, with the first few principal components retaining the main information of the original data, while reducing the dimensionality of the data, removing redundant features, and improving computational efficiency [
43]. In this study, because there may be some linear correlation between the slope mean, slope standard deviation, and slope range, performing multiple linear regression directly could lead to model instability. Therefore, PCA was used to reduce the dimensionality of the input variables, addressing the multi-collinearity problem between the features, and thereby constructing a more stable regression model.
In this experiment, the sowing depth detection values under different terrain conditions were compared, and the feature values of the slope matrix and their corresponding sowing depth deviation values are shown in the
Table 7.
The results of the PCA analysis demonstrated that the slope mean and slope standard deviation are the primary contributors to terrain-related sowing depth deviations. The first principal component, slope mean, accounted for 75.29% of the total variance, while the second principal component, slope standard deviation, contributed 23.11%. Together, these two components explained 98.51% of the total variance, indicating that they effectively captured nearly all the essential information about the terrain’s characteristics. Conversely, the third principal component, slope range, contributed only 1.60% and was determined to have negligible influence, allowing for its exclusion to reduce the model’s complexity without significant loss of representativeness.
The analysis also revealed a clear relationship between terrain characteristics and sowing depth deviations. On raised or depressed terrains, the actual sowing depth was consistently lower than the detected depth. This deviation was strongly correlated with the slope mean and, to a lesser extent, the slope standard deviation, while the slope range showed no significant impact. Specifically, the slope mean emerged as the most influential factor, with its value directly proportional to the magnitude of sowing depth deviation. The slope standard deviation, while less impactful, still contributed to variations in depth.
In summary, the findings underscore that the larger the terrain’s slope mean and slope standard deviation, the greater the deviation in sowing depth. These results highlight the importance of focusing on the slope mean as the dominant factor in predicting and correcting sowing depth deviations, providing a clear direction for future optimization of terrain-adaptive sowing systems.
3.4. Reflection on Experimental Results
While the experiments provided valuable insights into the relationship between terrain features and sowing depth accuracy, several limitations and considerations need to be acknowledged.
(a) Experimental Conditions and Representativeness
The experiments were conducted in a controlled indoor environment using a simulated soil trough, which, while effective for isolating specific variables, may not fully represent the complexities of real field conditions. Factors such as varying soil moisture, compaction heterogeneity, and natural debris were simplified or excluded, potentially limiting the applicability of the results to real-world scenarios.
(b) Sensor Performance and Stability
The laser and array sensors demonstrated consistent performance during the trials, but their stability under fluctuating environmental conditions, such as extreme temperatures or high levels of ambient light, was not comprehensively evaluated. These factors could influence the reliability of sowing depth detection in field applications, particularly on uneven or sloped terrain.