A new power theory (right-angled triangle theory)

This paper presents a novel power theory with a new construction of power parameters (consisting of apparent (S), active (P) and reactive (Q) power) for sinusoidal voltage supply with linear and nonlinear loads (nonsinusoidal current). This approach decompose every power parameter into two components (fundamental and distortion), each fundamental component is perpendicular on the distortion component. This theory refutes Budeanu's allegations about the reactive power and power factor calculations and some of IEEE standards 1459-2010 assumptions. Moreover, this paper proves that the total active and reactive power is the result of square root the summation of squares of fundamental and distortion components, and not just the arithmetic summation. The new proposed theory proves that the distortion angle (θn) is not just dependent on the total angle (6>t) and on the fundamental angle (θ1), but dependent on the total current (I1) and the fundamental current (I1). Moreover, it shows a new graphical representation of all power components and presents new formulas building the relationship between the total harmonic distortion (THD) and ((θ), (θ1) and (θ1)) phase angles. The new description of power categories has been supported by diagrams, figures and mathematical formulations. In addition, randomly chosen two circuits have been designed and simulated using Matlab-Simulink program in order to test the validity of the new proposed theory in comparing with Budeanu's and some IEEE standard 1459-2010 equations.