Equivalent Circuit Programming for Power Flow Analysis and Optimization

TL;DR

This paper extends Equivalent Circuit Programming to integrate optimization with power flow models, demonstrating scalable, robust solutions for large AC power systems with operational constraints.

Contribution

It develops a theoretical framework combining optimization algorithms with numerical power flow methods, enhancing scalability and robustness for large power networks.

Findings

Successfully applied to 70,000-bus AC power flow models

Maintains numerical robustness and scalability

Enforces operational and security constraints effectively

Abstract

The utility of domain-specific knowledge for modeling, simulation, and optimization has been demonstrated for various research problem domains, including power systems. The concept of Equivalent Circuit Programming was previously developed and facilitated for robust, efficient, and scalable solution of network simulation and optimization problems. This paper extends the theoretical foundation of Equivalent Circuit Programming to enable the fusion of optimization theory and algorithms with the numerical methods that utilize the domain-specific knowledge of power flow models. The generality, scalability, and numerical robustness of the resulting framework are demonstrated on realistic AC power flow (ACPF) models of up to 70k buses with proper enforcement of industry-required operational and security constraints.