A Method of Three‐Dimensional Location for LFEDA Combining the Time of Arrival Method and the Time Reversal Technique

Based on fast electric field waveforms of the Low‐frequency E‐field Detection Array (LFEDA), we introduce the time reversal technique into lightning three‐dimensional location for the first time and propose a new algorithm for the three‐dimensional location of lightning low‐frequency discharges. Without using complex filtering algorithms to remove higher‐frequency component, this method obtains similar results to the newly reported LFEDA refinement algorithm. The new algorithm can obtain finer, more continuous, and richer positioning results with a minimum of four stations, 5‐dB signal‐to‐noise ratio, and 500‐ns time error compared with the low‐frequency signal time of arrival three‐dimensional positioning method. These results indicate that the new algorithm has the advantages of low requirements on the number of stations, certain anti‐interference ability, and low requirements on time accuracy. The standard deviations in the X and Y directions for return strokes of triggered lightning flashes are both approximately 90 m. Plain Language Summary During the last 20 years, besides the location of return stroke, finer and more accurate positioning of total lightning based on lightning low‐frequency discharge signals can be achieved by using the time of arrival method. The Chinese Academy of Meteorological Sciences developed a lightning Low‐frequency E‐field Detection Array (LFEDA), consisting of ten substations in Conghua, Guangzhou, since 2014, which is capable of determining the three‐dimensional locations of lightning discharge events. With the application of empirical mode decomposition algorithm in the past research of LFEDA, the fine structure of lightning channel can be obtained. This paper proposes a new lightning low‐frequency discharge three‐dimensional location algorithm based on the multistation waveform data of the LFEDA system. This is the first time that the time reversal method has been applied to total lightning three‐dimensional location. This method can obtain accurate lightning three‐dimensional location results without using a complex filtering algorithm. Compared with the time of arrival method, the new algorithm not only can yield positioning results similar to those of the fine positioning algorithm (Fan et al., 2018, https://doi.org/10.1029/2017jd028249) but also has the advantages of low requirements on the number of stations, certain anti‐interference ability, and low requirements on time accuracy.

[1]  Tao Wang,et al.  Broadband VHF Localization of Lightning Radiation Sources by EMTR , 2017, IEEE Transactions on Electromagnetic Compatibility.

[2]  Kenneth L. Cummins,et al.  A Combined TOA/MDF Technology Upgrade of the U.S. National Lightning Detection Network , 1998 .

[3]  Yijun Zhang,et al.  Characteristics and correlation of return stroke, M component and continuing current for triggered lightning , 2016 .

[4]  Y. Zhang,et al.  A New Method of Three‐Dimensional Location for Low‐Frequency Electric Field Detection Array , 2018, Journal of Geophysical Research: Atmospheres.

[5]  Xuan-Min Shao,et al.  The Los Alamos Sferic Array: A research tool for lightning investigations , 2002 .

[6]  John P. Barrett,et al.  A low‐frequency near‐field interferometric‐TOA 3‐D Lightning Mapping Array , 2014 .

[7]  Gerhard Diendorfer,et al.  On the Location of Lightning Discharges Using Time Reversal of Electromagnetic Fields , 2014, IEEE Transactions on Electromagnetic Compatibility.

[8]  Kersten Schmidt,et al.  Lightning characteristics observed by a VLF/LF lightning detection network (LINET) in Brazil, Australia, Africa and Germany , 2009 .

[9]  Dong Zheng,et al.  Performance Evaluation for a Lightning Location System Based on Observations of Artificially Triggered Lightning and Natural Lightning Flashes , 2012 .

[10]  G. Lerosey,et al.  Time reversal of electromagnetic waves. , 2004, Physical review letters.

[11]  Wolfgang Knoll,et al.  Characterization and Applications , 2011 .

[12]  M. D. Tran,et al.  Evaluation of ENTLN Performance Characteristics Based on the Ground Truth Natural and Rocket‐Triggered Lightning Data Acquired in Florida , 2017 .

[13]  Michael Stock,et al.  Total Lightning Observations with the New and Improved Los Alamos Sferic Array (LASA) , 2006 .

[14]  K. Schmidt,et al.  LINET—An international lightning detection network in Europe , 2009 .

[15]  Farhad Rachidi,et al.  Development of a Lightning Location System Based on Electromagnetic Time Reversal: Technical Challenges and Expected Gain , 2018 .

[16]  Yu Wang,et al.  Beijing Lightning Network (BLNET) and the observation on preliminary breakdown processes , 2016 .

[17]  S. Cummer,et al.  Imaging lightning intracloud initial stepped leaders by low‐frequency interferometric lightning mapping array , 2016 .

[18]  Daohong Wang,et al.  Locating Preliminary Breakdown Pulses in Positive Cloud‐to‐Ground Lightning , 2018, Journal of Geophysical Research: Atmospheres.

[19]  Steven J. Goodman,et al.  North Alabama Lightning Mapping Array (LMA): VHF Source Retrieval Algorithm and Error Analyses , 2004 .

[20]  M. Fink,et al.  Self focusing in inhomogeneous media with time reversal acoustic mirrors , 1989, Proceedings., IEEE Ultrasonics Symposium,.

[21]  Ting Wu,et al.  Initial results of LF sensor network for lightning observation and characteristics of lightning emission in LF band , 2014 .

[22]  Farhad Rachidi,et al.  Application of the time reversal of electromagnetic fields to locate lightning discharges , 2012 .

[23]  Dong Zheng,et al.  Low-frequency E-field Detection Array (LFEDA)—Construction and preliminary results , 2017, Science China Earth Sciences.

[24]  Ting Wu,et al.  Lightning Mapping With an Array of Fast Antennas , 2018 .

[25]  R. Orville,et al.  Changes in measured lightning flash count and return stroke peak current after the 1994 U.S. National Lightning Detection Network upgrade: 2. Theory , 1999 .

[26]  John M. Hall,et al.  Characterization and applications of VLF/LF source locations from lightning using the Huntsville Alabama Marx Meter Array , 2013 .

[27]  K.L. Cummins,et al.  An Overview of Lightning Locating Systems: History, Techniques, and Data Uses, With an In-Depth Look at the U.S. NLDN , 2009, IEEE Transactions on Electromagnetic Compatibility.

[28]  Qi Zhang,et al.  Multiple-Antennae Observation and EMTR Processing of Lightning VHF Radiations , 2018, IEEE Access.

[29]  Abram R. Jacobson,et al.  A method for determining intracloud lightning and ionospheric heights from VLF/LF electric field records , 2004 .