Integrated Intelligent Energy ›› 2022, Vol. 44 ›› Issue (9): 51-58.doi: 10.3969/j.issn.2097-0706.2022.09.007
• Intelligent & Clean Heat Supply • Previous Articles Next Articles
ZHANG Xu1(), ZHANG Haohao2,*(), GU Jihao3
Received:
2022-05-05
Revised:
2022-06-20
Online:
2022-09-25
Published:
2022-09-26
Contact:
ZHANG Haohao
E-mail:xu.zhang.dn@chnenergy.com.cn;etianzh@126.com
CLC Number:
ZHANG Xu, ZHANG Haohao, GU Jihao. Study on difference analysis and sampling inference methods of room temperature spatial characteristics[J]. Integrated Intelligent Energy, 2022, 44(9): 51-58.
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URL: https://www.hdpower.net/EN/10.3969/j.issn.2097-0706.2022.09.007
Table 1
Room temperature data sample source description
信息类别 | 项目 | 参数 |
---|---|---|
热力站信息 | 机组数量 | 8 |
系统形式 | 板换间供热,电调阀控制系统 | |
采暖方式 | 地暖 | |
入住率/% | 70左右 | |
住户信息 | 住户编码 | 具体到门牌号 |
测点总数(户数) | 4 500 | |
供热面积/m2 | 50~150 | |
住户位置 | 中间、边角、顶层 | |
缴费状态 | 供暖、停暖 | |
楼栋信息 | 楼栋数量 | 94 |
楼层类型 | 15层(多层),33层(高层) | |
室内温度 数据源 | 室内温度/℃ | 5~30 |
采集间隔/min | 20 | |
采集时间 | 2021-12-23—25 | |
室外温度 数据源 | 室外温度/℃ | -5~13 |
采集间隔/min | 10 | |
采集时间 | 2021-12-23—25 |
Table 2
Statistical results based on stratified systematic sampling method
项目 | 抽样比例 | |||||||
---|---|---|---|---|---|---|---|---|
3% | 5% | 7% | 9% | 10% | 15% | 20% | ||
样本量n | 57 | 95 | 131 | 170 | 188 | 284 | 382 | |
样本均值μ/℃ | 21.009 | 21.569 | 21.452 | 21.367 | 21.522 | 21.643 | 21.374 | |
样本标准差σ/℃ | 2.003 | 1.832 | 2.150 | 1.755 | 2.421 | 2.353 | 2.087 | |
样本的平均误差 | 0.269 | 0.188 | 0.188 | 0.135 | 0.177 | 0.140 | 0.107 | |
总体均值的Z值 | 1.707 | 0.532 | 0.092 | 0.754 | 0.302 | 1.249 | 0.888 | |
<18 ℃ | 比重区间 | (0.149,0.377) | (0.076,0.219) | (0.091,0.214) | (0.104,0.214) | (0.145,0.260) | (0.113,0.197) | (0.156,0.236) |
总体成数Z值 | 2.120 | 0.931 | 0.937 | 0.861 | 0.626 | 1.281 | 0.569 | |
样本与总体比重差异 | 是 | 否 | 否 | 否 | 否 | 否 | 否 | |
样本比重 | 0.263 | 0.147 | 0.153 | 0.159 | 0.202 | 0.155 | 0.196 | |
18~20 ℃ | 比重区间 | (0.147,0.157) | (0.182,0.188) | (0.217,0.221) | (0.215,0.218) | (0.158,0.161) | (0.172,0.173) | (0.194,0.195) |
总体成数Z值 | 0.750 | 0.036 | 1.950 | 1.931 | 0.835 | 0.376 | 0.659 | |
样本与总体比重差异 | 否 | 否 | 是 | 否 | 否 | 否 | 否 | |
样本比重 | 0.140 | 0.179 | 0.214 | 0.212 | 0.154 | 0.169 | 0.190 | |
20~22 ℃ | 比重区间 | (0.554,0.554) | (0.62,0.62) | (0.605,0.605) | (0.585,0.585) | (0.585,0.586) | (0.611,0.611) | (0.561,0.561) |
总体成数Z值 | 0.597 | 0.545 | 0.290 | 0.171 | 0.088 | 0.776 | 1.080 | |
样本与总体比重差异 | 否 | 否 | 否 | 否 | 否 | 否 | 否 | |
样本比重 | 0.544 | 0.611 | 0.595 | 0.576 | 0.580 | 0.606 | 0.556 | |
22~21 ℃ | 比重区间 | (0.069,0.069) | (0.079,0.079) | (0.022,0.022) | (0.063,0.063) | (0.051,0.051) | (0.065,0.065) | (0.045,0.045) |
总体成数Z值 | 0.501 | 2.350 | 2.390 | 0.840 | 0.159 | 1.377 | 0.059 | |
样本与总体比重差异 | 否 | 是 | 是 | 否 | 否 | 否 | 否 | |
样本比重 | 0.053 | 0.063 | 0.015 | 0.053 | 0.043 | 0.056 | 0.040 | |
≥24 ℃ | 比重区间 | (0.000,0.000) | (0.000,0.000) | (0.023,0.023) | (0.000,0.000) | (0.022,0.022) | (0.015,0.015) | (0.019,0.019) |
总体成数Z值 | 1.932 | 2.080 | 0.763 | 1.600 | 0.730 | 0.105 | 0.592 | |
样本与总体比重差异 | 是 | 是 | 否 | 否 | 否 | 否 | 否 | |
样本比重 | 0.000 | 0.000 | 0.023 | 0.000 | 0.021 | 0.014 | 0.019 |
Table 3
Comparison of the results of different sampling methods
项目 | 室温总体 | 整群抽样 | 分层随机抽样(20%) | 分层系统抽样(20%) | |
---|---|---|---|---|---|
总体均值μ/℃ | 21.457 | 21.346 | 21.379 | 21.447 | |
标准差σ/℃ | 2.159 | 1.996 | 1.967 | 1.980 | |
样本量n | 1 887 | 378 | 378 | 382 | |
平均误差 | — | 0.103 | 0.107 | 0.098 | |
<18 ℃ | 比重区间 | — | (0.153,0.233) | (0.156,0.236) | (0.140,0.216) |
Z值 | 0.184 | 0.193 | 0.196 | 0.178 | |
18~20 ℃ | 比重区间 | — | (0.154,0.155) | (0.194,0.195) | (0.154,0.156) |
Z值 | 0.178 | 0.152 | 0.189 | 0.152 | |
20~22 ℃ | 比重区间 | — | (0.618,0.618) | (0.561,0.561) | (0.637,0.637) |
Z值 | 0.583 | 0.614 | 0.556 | 0.633 | |
22~24 ℃ | 比重区间 | — | (0.040,0.040) | (0.045,0.045) | (0.029,0.029) |
Z值 | 0.040 | 0.034 | 0.040 | 0.024 | |
≥24℃ | 比重区间 | — | (0.008,0.008) | (0.019,0.019) | (0.013,0.013) |
Z值 | 0.015 | 0.007 | 0.019 | 0.013 |
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