北斗星基增强系统性能评估

刘瑞华; 耿海潮; 刘亮

doi:10.11728/cjss2023.04.2022-0039

北斗星基增强系统性能评估

doi: 10.11728/cjss2023.04.2022-0039 cstr: 32142.14.cjss2023.04.2022-0039

1.
中国民航大学电子信息与自动化学院　天津　300300
2.
中国电子科技集团公司第五十四研究所　石家庄　050081

基金项目: 国家重点研发计划项目资助（2021YFF0603903）

详细信息

作者简介:

耿海潮：E-mail：ghc_cauc@163.com

中图分类号: P228
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出版历程
- 收稿日期: 2022-08-09
- 录用日期: 2023-06-25
- 修回日期: 2022-11-23
- 网络出版日期: 2023-06-25

Beidou Satellite-based Augmentation System Performance Evaluation Analysis

1.
College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300
2.
The 54th Research Institute of China Electronics Technology Group Corporation, Shijiazhuang 050081

摘要

摘要: 以实际广播星历、精密星历和北斗星基增强系统(BDSBAS)增强报文为实验数据，通过计算BDSBAS轨道误差、卫星钟差、空间信号测距误差和BDSBAS格网电离层有效点、播发时间和电离层延迟误差6个指标，评估分析了BDSBAS空间信号的性能。结果显示：BDSBAS增强后的GPS卫星轨道误差在切向、法向、径向分别降低了34.57%，40.57%，30.90%；卫星钟差均方根降低了24.31%，卫星钟差标准差降低了16.8%；空间信号测距误差相比增强前降低了32.75%；BDSBAS格网电离层有效点覆盖了中国及周边地区；BDSBAS各点电离层延迟播发间隔均达到ICAO对精确差分定位的要求；电离层延迟在0°－5°N范围内误差在0.4 m以上，可信度均达到99.9%，在5°－55°N范围内误差小于0.4 m，可信度均为100%；BDSBAS水平定位误差提升超过25%，垂直定位误差提升超过50%，完好性均在99.9%以上。
- 北斗星基增强系统 /
- 轨道误差 /
- 卫星钟差 /
- 空间信号测距误差 /
- 电离层延迟
Abstract: In this paper, the performance of the BDSBAS space signal was evaluated and analyzed by calculating six indicators: BDSBAS orbit error, satellite clock difference, space signal ranging error and BDSBAS grid ionospheric effective point, broadcast time and ionospheric delay error, using actual broadcast ephemeris, precision ephemeris and augmentation messages of Beidou Satellite-Based Augmentation System (BDSBAS) as experimental data. Results showed that the orbital errors of GPS satellites after BDSBAS enhancement were reduced by 34.57%, 40.57% and 30.90% in tangential, normal and radial directions respectively; the root mean square of satellite clock deviation was reduced by 24.31%, and the standard deviation of satellite clock deviation was reduced by 16.8%; the spatial signal ranging error was reduced by 32.75% compared with that before enhancement; the effective ionospheric points of BDSBAS grid. The ionospheric delay broadcast interval of all BDSBAS points meets ICAO’s requirements for accurate differential positioning; the ionospheric delay error in the range of 0°－5°N is more than 0.4 m with a confidence level of 99.9%, and in the range of 5°－55°N, the error is less than 0.4 m with a confidence level of 100%; the horizontal positioning error of BDSBAS is improved by more than 25% improvement in horizontal positioning error and over 50% improvement in vertical positioning error, all with an integrity of 99.9% or more.
- Beidou satellite-based augmentation system /
- Orbital error /
- Satellite clock error /
- Signal in space range Error /
- Ionospheric delay
注释:

1) 1https://cddis.nasa.gov

2) 2ftp://igs.gnsswhu.cn/pub/whu/MGEX/ionosphere

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图 1 PRN 1号卫星轨道误差

Figure 1. Orbital error of PRN 1 satellite

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图 2 轨道误差统计

Figure 2. Statistics of orbital errors

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图 3 PRN 1号卫星钟差

Figure 3. Error of PRN 1 satellite clock

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图 4 卫星钟差统计

Figure 4. Statistics of satellite clock errors

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图 5 PRN 1号卫星SISRE

Figure 5. SISRE of PRN 1 satellite

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图 6 SISRE统计

Figure 6. Statistics of SISRE

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图 7 BDSBAS格网电离层有效点（绿色点为BDSBAS格网电离层有效点）

Figure 7. BDSBAS grid ionospheric effective point (Green points are valid ionospheric points for the BDSBAS grid)

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图 8 电离层播发间隔统计

Figure 8. Statistics of ionospheric broadcast interval

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图 9 BDSBAS格网电离层延迟

Figure 9. BDSBAS grid ionospheric delay

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图 10 BDSBAS单频定位精度

Figure 10. BDSBAS single frequency positioning accuracy

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图 11 北京房山站2021年2月1日的BDSBAS定位完好性

Figure 11. BDSBAS positioning integrity at Beijing Fangshan Station on 1 February 2021

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表 1 BDSBAS-B1 C频点播发电文类型

Table 1. BDSBAS-B1 C frequency broadcast message types

电文类型	电文内容
0	系统测试
1	PRN掩码
2~5	快变改正数
6	完好性信息
7	快变改正数降效因子
9	GEO卫星星历
10	降效参数
12	SNT与UTC偏差
17	GEO卫星星历
18	电离层格网掩码
24	快慢变混合改正数
25	慢变改正数
26	电离层延迟改正数
28	卫星时钟/星历协方差矩阵
62	内部测试信息
63	空白信息

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表 2 数据广播间隔和所支持的功能

Table 2. Data broadcast interval and supported features

数据类型	最大广播间隔	基本差分校正	精确差分校正
电离层网格掩码	300 s	－	√
电离层校正，GIVEI	300 s	－	√
注　“√” 表示支持该功能必须广播的数据。

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表 3 BDSBAS格网电离层延迟误差统计

Table 3. Statistics of BDSBAS grid ionospheric delay error

纬度 N /(°)	E_max / m	E_rms / m	C/(%)
0	1.72	0.81	95
5	0.75	0.42	100
10	0.52	0.34	100
15	0.47	0.26	100
20	0.50	0.22	100
25	0.46	0.23	100
30	0.55	0.25	100
35	0.53	0.24	100
40	0.54	0.23	100
45	0.50	0.26	100
50	0.51	0.23	100
55	0.46	0.26	100

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表 4 BDSBAS定位精度

Table 4. BDSBAS positioning accuracy

Station	Error/m	GPS	BDSBAS	误差减少/(%)
BJFS	HPE	0.63	0.46	26.9
	VPE	4.86	2.24	53.9
JFNG	HPE	0.68	0.45	33.8
	VPE	3.86	1.98	48.7
HKSL	HPE	0.87	0.54	37.9
	VPE	5.12	2.33	54.5
TNML	HPE	1.12	0.79	29.5
	VPE	4.64	2.24	51.7
POL2	HPE	0.73	0.51	30.1
	VPE	4.96	2.16	56.5

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表 5 2021年BDSBAS定位完好性

Table 5. BDSBAS positioning integrity in 2021

台站	水平方向/（%）	垂直方向/（%）
BJFS	100	100
JFNG	100	100
HKSL	100	100
TNML	99.9	99.9
POL2	100	99.9

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