White noise is a random signal mathematically analogous to an impulse function in time and flat spectrum in frequency. Naturally, the white noise may be used as an alternative test signal for determining the frequency response analysis (FRA) of transformers. Such an attempt not only enhances the power of FRA testing but also enable development of an online diagnostic test method. At present, the concept of using white noise is well-defined, but the crucial knowledge of applying the same on a real-time power transformer is currently not available or at least in the public domain. The study attempts to bridge this gap between theoretical contribution and practical requirement. The mathematical concept, experimental illustrations, and onsite / field validation altogether provides a complete insight into the identified problem. In this regard, an experimental study that investigates on using white noise as a test signal in determining the frequency response of a two-winding transformer is initiated. First, the possibilities of application of theoretical and mathematical concepts of using white noise as a test signal for measuring the frequency response of winding-core assembly is verified. Following this, the white noise signal applied to the circuit model and the corresponding response is recorded and the arbitrary choice of data samples measured from the circuit model is ensured using brute-force approach. In this procedure, the number of samples are manually increased until the magnitude and natural frequencies of resonant peaks matches atleast within 2 % accuracy with conventional FRA measurements. This is performed to ensure the repeatability of the method. Later, the time and frequency dependent statistical properties of the measured signals are computed and the respective transfer function is obtained. Subsequently, the transfer function obtained from the white noise method and the respective natural frequency (tabulated) are compared with the values measured using conventional FRA method. Once this is accomplished, these findings are experimentally validated on an actual high voltage transformer.

白噪声是一种随机信号，在数学上类似于时间上的脉冲函数和频率上的平坦频谱。当然，白噪声可以用作确定变压器频率响应分析 (FRA) 的替代测试信号。这种尝试不仅增强了 FRA 测试的能力，而且还能够开发在线诊断测试方法。目前，使用白噪声的概念是明确定义的，但在实时电力变压器上应用白噪声的关键知识目前尚不可用，或者至少在公共领域中是不可用的。该研究试图弥合理论贡献和实践要求之间的差距。数学概念、实验插图和现场/现场验证共同提供了对已识别问题的完整洞察。在这方面，启动了一项实验研究，该研究使用白噪声作为测试信号来确定两绕组变压器的频率响应。首先，验证了使用白噪声作为测量绕组芯组件频率响应的测试信号的理论和数学概念的应用可能性。在此之后，记录应用于电路模型的白噪声信号和相应的响应，并使用蛮力方法确保从电路模型测量的数据样本的任意选择。在此过程中，手动增加样本数量，直到共振峰的幅度和自然频率与传统 FRA 测量的匹配精度至少在 2% 以内。这样做是为了确保方法的可重复性。之后，计算测量信号的时间和频率相关统计特性并获得相应的传递函数。随后，将从白噪声方法获得的传递函数和各自的自然频率（列表）与使用传统 FRA 方法测量的值进行比较。一旦完成，这些发现将在实际高压变压器上进行实验验证。