Scale-Free Network Modeling Algorithms

This paper presents original MATLAB source code for power factor calculation simulations using the P-Q method. In power systems, power factor serves as a critical parameter representing the ratio between active power (P) and reactive power (Q) in electrical circuits. The algorithm computes power factor (cosφ) using the fundamental formula PF = P/√(P²+Q²), where P represents real power consumption and Q denotes reactive power flow. Proper power factor calculation is essential for maintaining stable power system operation and optimizing energy efficiency. The provided source code implements voltage and current data processing through MATLAB's signal analysis toolbox, featuring functions for instantaneous power calculation and harmonic analysis. The simulation includes modules for three-phase system modeling, data acquisition from power quality analyzers, and graphical visualization of power factor variations over time. This implementation demonstrates practical applications of the P-Q method in power system analysis, including load flow studies and compensation capacitor sizing. The code structure separates main calculation functions from visualization routines, allowing users to modify input parameters for different load conditions. Key MATLAB functions employed include fft() for harmonic analysis, trapz() for power integration, and custom-written functions for phase angle correction. Through this technical exposition, readers will gain comprehensive understanding of power factor calculation methodologies and learn to validate theoretical concepts using MATLAB simulations. The practical implementation approach enables direct application of these techniques to real-world power system optimization projects.