Articles of The Transactions of KSRC

Statistical analysis of dipole magnetic moment determination error

Full text article ( in russian)

Year	2019
Issue	390
Volume	4
Pages	203-210
Caption	Statistical analysis of dipole magnetic moment determination error
Authors	Vishnevsky A., Lapovok A., Firsova A.
Keywords	magnetic field, measurements, dipole magnetic moment, error, statistical approach, numerical simulation, Monte-Carlo method, random value, confidence probability.
DOI	10.24937/2542-2324-2019-4-390-203-210
Summary	Object and purpose of research. This paper discusses the accuracy of magnetic field caclulations based on magnetic induction measurements, taking the calculation of dipole magnetic moment (DMM) as case study. Subject matter and methods.Current methods of DMM determination are usually based on arbitrary arrangement of magnetic field sources, so the accuracy of their results cannot be estimated directly. This paper suggests a statistical approach based on Monte-Carlo method and relying on a great number of case studies, where the system of sources and error of measurements are simulated by means of random values. The distribution of random value, i.e. DMM calculation error for each case, becomes the basis for DMM accuracy assessments. Main results. This paper suggests an algorithm for DMM accuracy assessment. Following the assumption that magnetic field measurement results are random values, the authors simulate the system of magnetic field sources, as well as typical components of magnetic field measurement error, analyzing it as a random parameter and illustrating their approach by a case study of DMM accuracy assessment. Conclusion. The method of DMM accuracy assessment suggested in this paper is easy to implement and apply to whatever methods of DMM calculations, enabling direct simulation of different factors relevant for the calculation error, as well as contribution assessment for each of these factors and their combined effect. This statistical approach to accuracy assessment is also applicable to measurement-based calculations of other parameters of magnetic field, for example, it can be used for field extrapolation. Similar approach can also be developed for calculation error assessment of other stationary fields.