Variations in pesticide application can comprise the efficacy. Among them, turning and circular movements (TCM) generate rate errors, harming the crop and environment. Nozzle speeds are different across the spray boom when the sprayer travels through these trajectories, and this affects the treated area by each one. The solution available is the pulse-width modulation valve (PWM), which controls rate by duty cycle. However, there are no comprehensive recommendations and evaluations on the use of this component related to the spray boom size. Therefore, we created a broad simulation of TCM and spray boom size-PWM relationship to evaluate the rate errors. We used simplified equations based on uniform circular motion and previous studies to calculate nozzle speed and target rate. Four circumference radii (25 m, 65 m, 105 m and 150 m) and spray boom width (18 m, 36 m, 42 m, and 50 m) were evaluated to spray 100 L ha⁻¹. In addition, we inserted PWM valves as a rate compensation mechanism and adapted the duty cycle for each situation. As a result, larger spray booms generated higher rate errors and variation, principally in small radii TCM. Thus, in better scenario (Bw 18 m x Rc 150 m) the higher rate error and coefficient of variation were 6.01 L ha⁻¹ and 3.37%, respectively. Conversely, in worst scenario (Bw 50 m x Rc 25 m) the higher error rate and coefficient of variation were 4900 L ha⁻¹ and 225.94%, respectively. There is a downward trend when the circumference radii increases, decreasing the error, as it smoothes the trajectory. Furthermore, PWM valves, individually, are not able to compensate all errors during spraying. There is underdosing and overdosing across the spray boom, which requires not recommended or possible working ranges (<40% or >100%). Thus, it is needed use this technology with other techniques to avoid rate errors during TCM, such as pressure control, simultaneous PWM valves or sensitivity analysis.

杀虫剂应用的变化可以包括功效。其中，转动和圆周运动（TCM）会产生速率误差，危害作物和环境。当喷雾器穿过这些轨迹时，喷杆上的喷嘴速度不同，这会影响每个处理区域。可用的解决方案是脉宽调制阀 (PWM)，它通过占空比控制速率。但是，对于与喷杆尺寸相关的该组件的使用，没有全面的建议和评估。因此，我们创建了 TCM 和喷杆尺寸-PWM 关系的广泛模拟，以评估速率误差。我们使用基于匀速圆周运动和先前研究的简化方程来计算喷嘴速度和目标速率。四个圆周半径（25 m、65 m、^-1。此外，我们插入了 PWM 阀作为速率补偿机制，并针对每种情况调整了占空比。因此，较大的喷杆会产生较高的速率误差和变化，主要是在小半径 TCM 中。因此，在更好的情况下（Bw 18 mx Rc 150 m），较高的速率误差和变异系数分别为 6.01 L ha ^-1和 3.37%。相反，在最坏的情况下（Bw 50 mx Rc 25 m），较高的错误率和变异系数为 4900 L ha ^-1和 225.94%，分别。当圆周半径增加时，有一个下降趋势，减少了误差，因为它平滑了轨迹。此外，单独的 PWM 阀无法补偿喷涂过程中的所有误差。整个喷杆存在剂量不足和剂量过大，这不需要推荐或可能的工作范围（<40% 或 >100%）。因此，需要将此技术与其他技术结合使用以避免 TCM 期间的速率误差，例如压力控制、同步 PWM 阀或灵敏度分析。