Geometric Power Theory
Frequency-domain and time-domain formulations for power flow, apparent power and non-sinusoidal multiphase systems.
Full Professor · University of Almeria
Geometric algebra for power systems and smart grids.
I develop mathematical and experimental tools for modern electrical systems: geometric algebra models, smart metering, power quality analysis and optimization methods for energy-aware engineering.
Profile
Electrical engineering with a geometric lens.
Francisco G. Montoya is Full Professor in the Department of Engineering, Electrical Engineering Section, at the University of Almeria, Spain. He received his M.S. from the University of Malaga and his Ph.D. from the University of Granada.
His research brings together geometric algebra, power theory, power quality, smart grids, smart metering and optimization methods for energy systems. Recent results focus on non-sinusoidal and unbalanced multiphase systems, time-domain load identification, reactive current compensation and software tools for applied geometric algebra.
Research
Current lines
Unbalance and Fault Geometry
Reference-frame identification, bivector analysis and geometric signatures for unbalanced networks and faulted power systems.
Smart Metering and Power Quality
Instrumentation, IoT-enabled analyzers and laboratory validation for monitoring electrical systems under realistic conditions.
Optimization in Energy Systems
Linear programming, evolutionary methods and multi-objective optimization for compensation, renewable energy and grid operation.
Research CV
Latest and representative results.
A compact slice of current work and papers that anchor the research line. For the complete record, use the academic profile links.
Optimal reactive current compensation for smart grids using linear programming
A compensation algorithm validated with theoretical and real-world data.
Geometric power theory in the frequency domain for non-sinusoidal and unbalanced multiphase AC systems
A recent extension of the geometric algebra power theory line to multiphase unbalanced conditions.
Experimental verification of a time-domain load identification method for single-phase circuits
Laboratory validation for instantaneous voltage-current based load parameter identification.
General Reference Frame Identification and Transformation in Unbalanced Power Systems
A geometric framework for identifying reference frames in unbalanced n-phase systems.
Understanding the Geometry of Faulted Power Systems under High Penetration of Inverter-Based Resources
Fault detection and classification through ellipse fitting and geometric algebra.
Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra
Software infrastructure for geometric algebra computation and applied experimentation.
Hypercomplex Techniques in Signal and Image Processing Using Network Graph Theory
A wider signal-processing view of hypercomplex methods and core research directions.
New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits
A physical power-flow model built from geometric algebra and two-dimensional Maxwell equations.
All-in-one three-phase smart meter and power quality analyzer with extended IoT capabilities
A practical instrumentation result connecting measurement, power quality and IoT deployment.
Determination of instantaneous powers from a novel time-domain parameter identification method of non-linear single-phase circuits
A key earlier step in the instantaneous power and time-domain identification line.
Optimization methods applied to renewable and sustainable energy: A review
A representative foundation of the renewable-energy optimization research line.
Projects
Research lines and funded work
Geometric power theory and smart-grid compensation
Current work on non-sinusoidal and unbalanced multiphase systems, reactive current compensation and experimentally verified load identification.
Energy-awareness in machine learning
Real-time integration of energy-awareness in machine learning using high-accuracy smart energy meters and power quality analyzers.
Power quality and energy saving
Smart-meter-based power quality analysis and optimization for residential and commercial energy use in Andalusia.
Optimization and high-performance computing
Computational methods for global optimization, multimedia, image processing and engineering design.
Teaching and supervision
Power engineering, circuits and doctoral work.
I have taught power engineering courses since 2000, including Electrical Engineering, Electrical Installations, Rural Electrification, Circuit Theory and Advanced Circuit Theory.
Ph.D. supervision includes theses on wireless sensor monitoring, power quality, renewable energy optimization, bioclimatic architecture and community detection in complex networks.
Contact
Francisco G. Montoya
Department of Engineering · Electrical Engineering Section
University of Almeria · Spain