This paper reports the investigation of the location accuracy of a three-dimensional (3D) lightning-radiation-source locating system using sounding balloon measurements. By comparing the information from the balloon-borne VHF transmitter flight path and locations using simple geometric models, the location uncertainties of sources both over and outside the network were estimated. For radiation sources inside the network and below an altitude of 7 km, the horizontal uncertainty was 12-48 m and the total mean value was 21 m (rms), and the vertical uncertainty was 20-78 m and the total mean value was 49 m (rms). Outside the network, the location uncertainties increased with distance. The geometric model showed that range and altitude errors increased as a function of the range squared whereas the range errors increased parabolically with distance, and that was confirmed by the covariance calculation results. The standard deviation was used inside the network and covariance was used outside the network. The results indicated that location errors from a simple geometric model exhibited good agreement with standard experimental data. The geometry of the network, set of measurements, and calculation method were verified as suitable. The chi-square values of the least squares goodness of fit algorithm were verified and the timing error (t rms ) of the fitting formula was estimated. The distribution of the chi-square values was less than 5, corresponding to a timing error of 50-66 ns (rms).
3D lightning-radiation-source locating network, location accuracy, standard deviation, geometric model, theoretical error Citation:The channel of lightning discharge can be located spatially and temporally using a 3D lightning locating system (Zhang et al., 2010). The locating system comprises multiple affiliated observational stations measuring the arrival times of lightning radiation sources (bandwidth 267-273 MHz) based on time-of-arrival (TOA) and GPS technology. The accuracy of the locations radiation source depends on the structures and terrain within the observation area and on the numbers and positions of the observational stations (network geometry). However, system measuring errors and random errors in the arrival times of the radiation sources lead to uncertainties between the measured and true values. Therefore, analysis of location uncertainty and network variation can help in the design and optimization of locating networks, correction of location results, and improvements in the method of location.The TOA measurement was developed in the last century. Proctor (1971, 1981) and Proctor et al. (1988) was a pioneer of using TOA to develop a system for locating 3D VHF radiation sources. He used a network of five stations arrayed along two nearly perpendicular baselines and used hyperbolic formulations to obtain estimates of the source locations. The geometric interpretation of the solutions and the