This method can be adapted to work with different insulating liquids, different apparatus types, and different possible diagnostic classifications. In a comparison using cases confirmed by inspection, the simplex outperformed three ratio methods, Duval triangle 1, and two pentagons.Ī good solution is to estimate a multivariate nonparametric probability density function for each fault type on the points of Δ 4, based upon a training set of pre-classified five-gas patterns. One solution is to replace the pentagon with a four-dimensional simplex, a direct generalization of the Duval triangle. Unfortunately the mapping of five gas proportions to a point inside a two-dimensional pentagon is many-to-one consequently, dissimilar combinations of gas proportions are mapped to the same point in the pentagon, resulting in mis-diagnosis.

Diagnostic pentagons published by Duval and others seek to emulate the triangles while incorporating five fault gases instead of three. Each point in the triangle corresponds to a unique combination of gas proportions. The proportional concentrations of three fault gases (such as methane, ethylene, and acetylene) are used as coordinates to plot a point in an equilateral triangle and identify the fault zone in which it is located. To find the third angle (angle C) you can apply the law that all triangles add up to 180 degrees.A Duval triangle is a diagram used for fault type identification in dissolved-gas analysis of oil-filled high-voltage transformers and other electrical apparatus. Since two angle measures are already known, the third angle will be the simplest and quickest toĬalculate. Would begin solving the problem by determing with value to find first. If told to find the missing sides and angles of a triangle with angle A equaling 34 degrees, angle B equaling 58 degrees, and side a equaling a length of 16, you Solving Triangles Given Two Angles and One Side Just input one side length and any two other values, and our calculator will return missing values in exact value and decimal form in addition to the step-by-step calculation process for each of those missing values. The law of sines and law of cosines are essential to the calculation process. With an oblique triangle calculator, all values can be calculated if eitherġ side and any two other values are known. Oblique triangles use a set of formulas unique from right angle triangles. An oblique triangle is defined as any triangle without a right angle (90-degree angle).

Duval triangle calculator