activity
20202026
most citedGeometric Algebra Power Theory in Time Domain

4 citations · 6 across the 9 of their papers we have counts for

collaborators

9 papers

eess.SY2026

Multivariable Geometric Laplace Transform and Fault Detection in Distributed-Converter Lines

Francisco Manuel Arrabal-Campos, Francisco G. Montoya, Santiago Sánchez-Acevedo +2

Monitoring a DC line with many distributed power converters is a genuinely spatio-temporal problem: the information about a localized fault travels along the whole conductor and re…

cs.AI2026

Can a Dynamic Internal Field Govern a Transformer's Cognition? Certifiability, not Superiority, in Homeostatic Compute Control

Francisco M. Arrabal-Campos, Ignacio Fernandez, Francisco G. Montoya +1

An intelligent system does not merely reason: it governs its own reasoning - how much to compute, when to stop, which module to activate. Can that role be played by a dynamic inter…

cs.AI2026

Where Cognition Lives: Dissecting Emergent from Computed Function in a Minimal Complete Cognitive Architecture

Francisco M. Arrabal-Campos, Francisco G. Montoya, Alfredo Alcayde +1

A cognitive architecture is more than the module that reasons: it must also decide how long to think and what deserves the effort. We built a minimal but complete system - a recurr…

eess.SP2026

Branch-Level Energy Localization in Three-Phase Loads: Resolving Indeterminacy in Time-Domain

Francisco G. Montoya, Francisco de Leon, Francisco M. Arrabal-Campos +1

This paper develops a branch-level energy-localization framework for three-phase loads. The instantaneous terminal power of an admissible lumped equivalent is decomposed uniquely a…

eess.SP2026

Geometric Time-Domain Identification of Three-Phase Load Equivalents from Terminal Measurements

Francisco G. Montoya, Francisco de Leon, Francisco M. Arrabal-Campos +1

This paper presents a geometric time-domain method for identifying three-phase load equivalents from instantaneous voltage and current measurements at the point of common coupling.…

eess.SY2025

Experimental Verification of a Time-Domain Load Identification Method for Single-Phase Circuits

Francisco M. Arrabal-Campos, Francisco G. Montoya, Jorge Ventura +3

This paper presents experimental validation of a time-domain load parameter determination method for single-phase circuits. The verification is performed in a state-of-the-art smar…

eess.SY2020

How to overcome the limitations of p-q Theory: Geometric Algebra Power Theory to the rescue

Francisco G. Montoya, Alfredo Alcayde, Francisco M. Arrabal-Campos +1

This paper investigates the recent advances in Geometric Algebra-based power theory (GAPoT) and how this tool provides new insights to solve the flaws of one of the most widespread…

eess.SY2020★ 2 cited

Geometric Algebra Power Theory (GAPoT): Revisiting Apparent Power under Non-Sinusoidal Conditions

Francisco Gil Montoya, Alfredo Alcayde, Francisco Arrabal-Campos +2

Traditional power theories and one of their most important concepts --apparent power-- are still a source of debate and, as shown in the literature, they present several flaws that…

eess.SY2020★ 4 cited

Geometric Algebra Power Theory in Time Domain

F. G. Montoya, J. Roldán-Pérez, A. Alcayde +2

In this paper, the power flow in electrical systems is modelled in the time domain by using Geometric Algebra and the Hilbert Transform. The use of this mathematical framework over…