Journal of Automotive Safety and Energy ›› 2025, Vol. 16 ›› Issue (5): 725-735.DOI: 10.3969/j.issn.1674-8484.2025.05.007
• Automotive Energy Efficiency and Environment Protection • Previous Articles Next Articles
ZHONG Hao1(
), WANG Weida1, YANG Chao1,*(
), YANG Liuquan1, ZENG Gen1,2, LI Tonghui2
Received:2024-12-25
Revised:2025-06-24
Online:2025-10-31
Published:2025-11-10
CLC Number:
ZHONG Hao, WANG Weida, YANG Chao, YANG Liuquan, ZENG Gen, LI Tonghui. Electromechanical state stability evaluation method of series hybrid electric powertrain for heavy vehicle[J]. Journal of Automotive Safety and Energy, 2025, 16(5): 725-735.
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URL: https://www.journalase.com/EN/10.3969/j.issn.1674-8484.2025.05.007
| 评价指标 | 隶属度函数的分界点,α / % | ||||||
|---|---|---|---|---|---|---|---|
| α0 | α1 | α2 | α3 | α4 | α5 | ||
| u1 | 发动机发电机转矩协调性 | 2.0 | 5.0 | 10.0 | 20.0 | 30.0 | 50.0 |
| u2 | 前后功率链功率协调性 | 0.5 | 1.0 | 3.0 | 6.0 | 10.0 | 20.0 |
| u3 | 主副动力源供能协调性 | 1.0 | 5.0 | 10.0 | 20.0 | 30.0 | 50.0 |
| u4 | 主动力源能量缺额占比 | 0.0 | 0.1 | 0.5 | 1.0 | 5.0 | 10.0 |
| u5 | 发动机转速平均波动率 | 0.2 | 0.5 | 1.0 | 5.0 | 10.0 | 15.0 |
| u6 | 发动机转速最大波动率 | 0.5 | 1.0 | 2.0 | 6.0 | 10.0 | 15.0 |
| u7 | 母线电压平均波动率 | 0.1 | 0.2 | 0.6 | 1.0 | 10.0 | 15.0 |
| u8 | 母线电压最大波动率 | 0.5 | 1.0 | 5.0 | 10.0 | 15.0 | 20.0 |
| 评价指标 | 隶属度函数的分界点,α / % | ||||||
|---|---|---|---|---|---|---|---|
| α0 | α1 | α2 | α3 | α4 | α5 | ||
| u1 | 发动机发电机转矩协调性 | 2.0 | 5.0 | 10.0 | 20.0 | 30.0 | 50.0 |
| u2 | 前后功率链功率协调性 | 0.5 | 1.0 | 3.0 | 6.0 | 10.0 | 20.0 |
| u3 | 主副动力源供能协调性 | 1.0 | 5.0 | 10.0 | 20.0 | 30.0 | 50.0 |
| u4 | 主动力源能量缺额占比 | 0.0 | 0.1 | 0.5 | 1.0 | 5.0 | 10.0 |
| u5 | 发动机转速平均波动率 | 0.2 | 0.5 | 1.0 | 5.0 | 10.0 | 15.0 |
| u6 | 发动机转速最大波动率 | 0.5 | 1.0 | 2.0 | 6.0 | 10.0 | 15.0 |
| u7 | 母线电压平均波动率 | 0.1 | 0.2 | 0.6 | 1.0 | 10.0 | 15.0 |
| u8 | 母线电压最大波动率 | 0.5 | 1.0 | 5.0 | 10.0 | 15.0 | 20.0 |
| 工况名称 | 工况代码 | v / (km·h-1) | ne / (r·min-1) | uref / V | |||||
|---|---|---|---|---|---|---|---|---|---|
| 四分位数* | 最大值 | 均值±标准差 | 最大值 | 均值±标准差 | 最大值 | ||||
| 急加速 | a | 17(6, 30) | 38.88 | 3 751±32 | 3 853 | 898±7 | 924 | ||
| 低速循环 | b | 9(6, 11) | 12.20 | 3 802±15 | 3 828 | 903±3 | 910 | ||
| 中速循环 | c | 9(0, 26) | 38.88 | 3 788±52 | 3 928 | 902±8 | 928 | ||
| 高速循环 | d | 66(45, 73) | 75.00 | 3 804±20 | 3 923 | 900±5 | 931 | ||
| 低速匀速 | e | 17(16, 20) | 25.40 | 3 801±12 | 3 834 | 902±4 | 913 | ||
| 中速匀速 | f | 30(28, 31) | 34.38 | 3 804±20 | 3 849 | 902±4 | 915 | ||
| 高速匀速 | g | 73(72, 74) | 75.00 | 3 802±15 | 3 852 | 900±5 | 926 | ||
| 工况名称 | 工况代码 | v / (km·h-1) | ne / (r·min-1) | uref / V | |||||
|---|---|---|---|---|---|---|---|---|---|
| 四分位数* | 最大值 | 均值±标准差 | 最大值 | 均值±标准差 | 最大值 | ||||
| 急加速 | a | 17(6, 30) | 38.88 | 3 751±32 | 3 853 | 898±7 | 924 | ||
| 低速循环 | b | 9(6, 11) | 12.20 | 3 802±15 | 3 828 | 903±3 | 910 | ||
| 中速循环 | c | 9(0, 26) | 38.88 | 3 788±52 | 3 928 | 902±8 | 928 | ||
| 高速循环 | d | 66(45, 73) | 75.00 | 3 804±20 | 3 923 | 900±5 | 931 | ||
| 低速匀速 | e | 17(16, 20) | 25.40 | 3 801±12 | 3 834 | 902±4 | 913 | ||
| 中速匀速 | f | 30(28, 31) | 34.38 | 3 804±20 | 3 849 | 902±4 | 915 | ||
| 高速匀速 | g | 73(72, 74) | 75.00 | 3 802±15 | 3 852 | 900±5 | 926 | ||
| 指标 | 权重 | 评价结果/ % | ||||||
|---|---|---|---|---|---|---|---|---|
| 工况→a | b | c | d | e | f | g | ||
| u1 | 0.18 | 24.29 | 3.48 | 37.41 | 20.08 | 3.87 | 11.94 | 10.95 |
| u2 | 0.17 | 3.09 | 0.49 | 3.09 | 4.07 | 1.04 | 2.61 | 2.69 |
| u3 | 0.06 | 0.67 | 21.76 | 2.50 | 22.88 | 9.57 | 6.84 | 20.64 |
| u4 | 0.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.47 | 0.00 |
| u5 | 0.09 | 1.34 | 0.35 | 1.18 | 0.34 | 0.26 | 0.46 | 0.28 |
| u6 | 0.17 | 3.83 | 0.73 | 3.83 | 3.41 | 0.89 | 1.28 | 1.45 |
| u7 | 0.13 | 0.62 | 0.37 | 0.64 | 0.36 | 0.34 | 0.40 | 0.41 |
| u8 | 0.07 | 2.71 | 1.14 | 3.07 | 3.42 | 1.41 | 1.67 | 2.83 |
| 总评价结果/分 | 3.06 | 1.22 | 3.13 | 3.32 | 1.11 | 2.29 | 2.45 | |
| 指标 | 权重 | 评价结果/ % | ||||||
|---|---|---|---|---|---|---|---|---|
| 工况→a | b | c | d | e | f | g | ||
| u1 | 0.18 | 24.29 | 3.48 | 37.41 | 20.08 | 3.87 | 11.94 | 10.95 |
| u2 | 0.17 | 3.09 | 0.49 | 3.09 | 4.07 | 1.04 | 2.61 | 2.69 |
| u3 | 0.06 | 0.67 | 21.76 | 2.50 | 22.88 | 9.57 | 6.84 | 20.64 |
| u4 | 0.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.47 | 0.00 |
| u5 | 0.09 | 1.34 | 0.35 | 1.18 | 0.34 | 0.26 | 0.46 | 0.28 |
| u6 | 0.17 | 3.83 | 0.73 | 3.83 | 3.41 | 0.89 | 1.28 | 1.45 |
| u7 | 0.13 | 0.62 | 0.37 | 0.64 | 0.36 | 0.34 | 0.40 | 0.41 |
| u8 | 0.07 | 2.71 | 1.14 | 3.07 | 3.42 | 1.41 | 1.67 | 2.83 |
| 总评价结果/分 | 3.06 | 1.22 | 3.13 | 3.32 | 1.11 | 2.29 | 2.45 | |
| 工况代码 | v / (km·h-1) | ne / (r·min-1) | uref / V | |||||
|---|---|---|---|---|---|---|---|---|
| 四分位数* | 最大值 | 均值±标准差 | 最大值 | 均值±标准差 | 最大值 | |||
| h | 12(0, 23) | 38.30 | 3 781±46 | 3 956 | 899±9 | 926 | ||
| i | 5(0, 27) | 37.40 | 3 800±55 | 3 925 | 901±8 | 920 | ||
| j | 17(0, 35) | 37.66 | 3 803±54 | 3 918 | 901±7 | 921 | ||
| k | 19(1, 35) | 37.70 | 3 804±50 | 3 918 | 901±7 | 918 | ||
| 工况代码 | v / (km·h-1) | ne / (r·min-1) | uref / V | |||||
|---|---|---|---|---|---|---|---|---|
| 四分位数* | 最大值 | 均值±标准差 | 最大值 | 均值±标准差 | 最大值 | |||
| h | 12(0, 23) | 38.30 | 3 781±46 | 3 956 | 899±9 | 926 | ||
| i | 5(0, 27) | 37.40 | 3 800±55 | 3 925 | 901±8 | 920 | ||
| j | 17(0, 35) | 37.66 | 3 803±54 | 3 918 | 901±7 | 921 | ||
| k | 19(1, 35) | 37.70 | 3 804±50 | 3 918 | 901±7 | 918 | ||
| 指标 | 权重 | 评价结果 / % | |||
|---|---|---|---|---|---|
| 工况→h | i | j | k | ||
| u1 | 0.18 | 14.74 | 13.65 | 13.78 | 18.89 |
| u2 | 0.17 | 2.29 | 3.41 | 2.34 | 2.66 |
| u3 | 0.06 | 7.31 | 5.62 | 12.24 | 6.91 |
| u4 | 0.13 | 0.01 | 0.30 | 0.00 | 0.00 |
| u5 | 0.09 | 1.25 | 1.02 | 1.03 | 1.04 |
| u6 | 0.17 | 4.09 | 5.38 | 5.35 | 4.62 |
| u7 | 0.13 | 0.95 | 0.62 | 0.59 | 0.61 |
| u8 | 0.07 | 2.93 | 2.33 | 2.29 | 2.34 |
| 总评价/ 分 | 3.08 | 3.10 | 3.09 | 3.06 | |
| 指标 | 权重 | 评价结果 / % | |||
|---|---|---|---|---|---|
| 工况→h | i | j | k | ||
| u1 | 0.18 | 14.74 | 13.65 | 13.78 | 18.89 |
| u2 | 0.17 | 2.29 | 3.41 | 2.34 | 2.66 |
| u3 | 0.06 | 7.31 | 5.62 | 12.24 | 6.91 |
| u4 | 0.13 | 0.01 | 0.30 | 0.00 | 0.00 |
| u5 | 0.09 | 1.25 | 1.02 | 1.03 | 1.04 |
| u6 | 0.17 | 4.09 | 5.38 | 5.35 | 4.62 |
| u7 | 0.13 | 0.95 | 0.62 | 0.59 | 0.61 |
| u8 | 0.07 | 2.93 | 2.33 | 2.29 | 2.34 |
| 总评价/ 分 | 3.08 | 3.10 | 3.09 | 3.06 | |
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