A Trade-off Between Energy Saving and Cycle Time Reduction by Pareto Optimal Corner Smoothing in Industrial Feed Drive Systems

Nshama, Enock William; Msukwa, Mathew Renny; Uchiyama, Naoki

doi:10.1109/access.2021.3056755

Cited by 13 publications

(9 citation statements)

References 42 publications

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“…7 and 12 in Section III-B and Figs. 14 and 19 in Section III-C), where this result is in agreement with the findings of [34], [40].…”

Section: Discussionsupporting

confidence: 90%

“…The time-optimal KCSIA* solution is a 0.017 s (i.e., 0.484 %) faster cycle time and 1.780 mm (i.e., 24.715 %) less corner smoothing than KC-SIA. KCSIA has an inferior solution since it maximizes cornering velocities, consequently maximizing the cornering Euclidean lengths as shown in (31) and (34). This results in KCSIA having a reduced cycle time at the cost of a high total cornering Euclidean length (i.e., high cornering errors), while KCSIA* considers both objectives and provides a better performance.…”

Section: ) Optimization Resultsmentioning

confidence: 99%

“…denotes vector dimension. According to (23) and (34), n var = 10n l − 3. With reference to (16), ( 24) and ( 35)-(37), n con = 32n l − 21.…”

Section: ) Space Complexity Analysismentioning

confidence: 99%

“…Regarding kinematic local corner smoothing, kinematic corner smoothing with interrupted acceleration (KC-SIA) has been proposed for cycle time optimality [33]. An energy-time trade-off using KCSIA is studied in [34]. Finite impulse response-based kinematic local corner smoothing have been proposed for reducing time and vibrations [35], [36].…”

Section: Introductionmentioning

confidence: 99%

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Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

Nshama

Uchiyama

2021

IEEE Access

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Manufacturing industries aim to improve product quantity and quality. These trade-off objectives are typically manifested as cycle time reduction and motion accuracy improvement. Corner smoothing approaches that reduce the cycle time of piecewise linear trajectories are proposed in the literature. This study tackles the two objectives by Pareto-optimal corner smoothing with constraints imposed as kinematic limits, continuity conditions and user-specified cornering tolerance. Linear and cornering motions along a contour are respectively described by jerk-limited acceleration profiles and a modified kinematic corner smoothing with interrupted acceleration (KCSIA) approach. A Pareto frontier is generated by the divide and conquer algorithm with the best trade-off solution selected as the one closest to the utopia point. The effectiveness of the proposed method is validated through experiments, where the best trade-off solution reduces the maximum and average contouring errors by 47.53 % and 25.40 % while it increases cycle time by 2.53 % compared to KCSIA.

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“…7 and 12 in Section III-B and Figs. 14 and 19 in Section III-C), where this result is in agreement with the findings of [34], [40].…”

Section: Discussionsupporting

confidence: 90%

Section: ) Optimization Resultsmentioning

confidence: 99%

“…denotes vector dimension. According to (23) and (34), n var = 10n l − 3. With reference to (16), ( 24) and ( 35)-(37), n con = 32n l − 21.…”

Section: ) Space Complexity Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

Nshama

Uchiyama

2021

IEEE Access

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“…Moreover, adding equality constraints at the start and end of the reparameterization function allows smooth start-and end-transitions (i.e., zero initial and final velocities and accelerations). For the bi-objective optimization problem, the process of revealing the Pareto front comprising trade-off solutions between time and jerk is implemented by applying the divide and conquer algorithm (D&C) [33]- [35] with normalized normal constraint (NNC) method [36], [37], where each solution is computed using the sequential quadratic programming (SQP) [38]. This achieves an efficient representation of the Pareto front and determines the constrained reparameterization of the trajectory with a significant trade-off.…”

Section: Introductionmentioning

confidence: 99%

A Kinematically Constrained Reparameterization Approach to Optimal Time and Jerk Motion of Industrial Machines

2021

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The increasing demands of a modern industry require the usage of industrial machines to perform various tasks with complex profiles. Tasks are usually given by a set of motion trajectory via-points; thus the geometric path representation and the proper reparameterization of the trajectory with respect to time are necessary. This study presents a kinematically constrained reparameterization approach for generating the trajectory by formulating an optimal control problem for time and jerk. Both geometric path generation and trajectory reparameterization are adopted by B-splines to ensure the trajectory smoothness. Inequality constraints are proposed to satisfy the axial kinematic limits, and equality constraints are included to ensure zero velocity and acceleration at the start and end of the trajectory. The trade-off between time and jerk is formulated as a bi-objective optimization problem. Moreover, the normalized normal constraint method with divide and conquer algorithm is applied to generate a Pareto front with significant trade-offs. Subsequently, the best trade-off solution is chosen. The proposed method is investigated by simulation with several geometric profiles, and the effectiveness is validated with an experimental result.INDEX TERMS B-splines, bi-objective optimization, constrained reparameterization, optimal control, Pareto front, trajectory generation, trajectory planning.

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Simulating energy consumption based on material addition rates for material extrusion of CFR-PEEK: a trade-off between energy costs and cycle time

Hassan

Noh

Park

et al. 2022

Int J Adv Manuf Technol

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While many studies for material extrusion–based additive manufacturing (AM) of polymers focus on experimental approaches to evaluate relevant performance measures from process parameters, there is a lack of discussion to connect experimental results with useful applications. Also, one of the major deficiencies in the application literature is a trade-off analysis between energy costs and cycle time (time to produce an item from the beginning to the end) since improving these two measures simultaneously is challenging. Thus, this paper proposes an energy simulation method for performing a trade-off analysis between energy costs and cycle time using combinations of major AM process parameters for material extrusion. We conduct experiments using carbon fiber–reinforced poly-ether-ether-ketone (CFR-PEEK), which is increasingly used in material extrusion. From experimental results, we build a power model in which power (kW) is derived as a linear function of material addition rates (MAR). This MAR regression model is then used in a proposed simulation model that integrates discrete event simulation and numerical simulation. In our simulation case study of 50 machines and 40 scenarios, we investigate trade-offs between energy costs and cycle time with three control policies (P 1 , P 25 , and P 50 ) that allow 1, 25, or 50 machines to start heating, respectively. The trade-off analysis results show that P 25 can be preferred when a balance between cycle time and energy costs is pursued, while P 1 or P 50 can be chosen if either energy cost (with P 1 ) or cycle time (with P 50 ) is more important than the other measure. Moreover, we find that the machine utilization, variability, and product volume have significant effects on energy costs and cycle time.

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A Trade-off Between Energy Saving and Cycle Time Reduction by Pareto Optimal Corner Smoothing in Industrial Feed Drive Systems

Cited by 13 publications

References 42 publications

Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

Pareto Optimization of Cycle Time and Motion Accuracy in Trajectory Planning for Industrial Feed Drive Systems

A Kinematically Constrained Reparameterization Approach to Optimal Time and Jerk Motion of Industrial Machines

Simulating energy consumption based on material addition rates for material extrusion of CFR-PEEK: a trade-off between energy costs and cycle time

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