Exploring Energy Conservation of Two-machine-one- buffer Manufacturing System
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摘要: 为研究双机器单缓冲区系统节能运行情况，从而制定出相应节能运行策略，实现节能减排。利用马尔科夫链建立双机器单缓冲区制造系统工作模型，确定双机器单缓冲区系统在机器阻塞或饥渴条件下不同机器停机节能时间窗口及其表达式。在此基础上，利用MATLAB求解出不同情况下的停机节能时间。最后将所求时间运用至Plant Simulation模型中进行仿真并进行数据处理得到相关结论。仿真结果表明：在接受一定的产量损失下，系统采用最优的控制策略时其节能量可以达到10%以上。Abstract: The energy conservation problem of a two-machine-one-buffer system is studied, and the energy conservation strategy is proposed for achieving energy conservation and emission-reduction by a manufacturing system. Firstly, a Markov operation model of two-machine-one-buffer manufacturing system is developed, and then the opportunity windows of stoppage for energy conservation of different machines are formulated when machines are blocked or starved in the two-machines-one-buffer manufacturing system. Furthermore, MATLAB is used to simulate the stoppage time for energy conservation with different energy conservation strategies. The simulation results show that the energy conservation rate can reach over 10% by implementing the optimal energy conservation strategy within a certain throughput loss.
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Key words:
- energy conservation /
- mathematical models /
- computer simulation /
- markov processes
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表 1 机器功率数据
机器 Pwork, i/kW Pidle, i/kW Psleep, i/kW Ptransit, i/kW M1 30 18 9 19.5 M2 20 12 6 13 
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表 2 机器M1平均停机时间
α 0.5 0.6 0.7 0.8 0.9 1.0 启动时B2容量 6 5 4 3 2 0 平均停机时间/s 234 273 312 351 390 468
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表 3 M1停机休眠节能仿真运行结果对比
指标 系统8 h平均产量 95%置信区间 产量损失百分比/% 系统8 h平均能耗/(kW·h) 95%置信区间 能耗减少百分比/% 无控制运行 532.45 [513.11, 551.78] —— 242.86 [237.27, 248.46] —— 50%消耗B2 519.78 [500.65, 538.90] 2.38 215.47 [210.25, 220.69] 11.28 60%消耗B2 517.25 [497.18, 537.31] 2.85 214.46 [208.98, 219.94] 11.70 70%消耗B2 508.47 [488.82, 528.11] 4.50 212.14 [206.59, 217.69] 12.65 80%消耗B2 499.16 [478.64, 519.67] 6.25 210.46 [204.83, 216.08] 13.34 90%消耗B2 496.37 [477.23, 515.50] 6.78 210.61 [205.39, 215.83] 13.28 100%消耗B2 463.81 [445.51, 482.10] 12.89 205.11 [199.89, 210.32] 15.55
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表 4 机器功率数据
机器 Pwork, i/kW Pidle, i/kW Psleep, i/kW Ptransit, i/kW M1 20 12 6 13 M2 30 18 9 19.5
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表 5 机器M2平均停机时间
β 0.5 0.6 0.7 0.8 0.9 1.0 启动时B2容量 6 7 8 9 10 12 平均停机时间/s 234 273 312 351 390 468
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表 6 M2停机休眠节能仿真运行结果对比
指标 系统8 h平均产量 95%置信区间 产量损失百分比/% 系统8 h平均能耗/(kW·h) 95%置信区间 能耗减少百分比/% 无控制运行 546.51 [521.04, 571.98] — 244.38 [236.93, 251.84] — 50%填充B2 529.56 [505.70, 553.41] 3.10 216.20 [209.47, 222.93] 11.53 60%填充B2 521.66 [497.20, 546.12] 4.55 214.31 [207.43, 221.20] 12.30 70%填充B2 520.58 [494.40, 546.76] 4.74 214.47 [207.14, 221.81] 12.24 80%填充B2 518.05 [491.50, 544.59] 5.21 213.78 [206.34, 221.22] 12.52 90%填充B2 512.97 [490.38, 535.56] 6.14 214.25 [207.98, 220.53] 12.33 100%填充B2 479.27 [458.89, 499.64] 12.30 208.58 [202.72, 214.44] 14.65
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