Abstract: Power grids the world over are transforming in form and function with the integration of power
electronics converters across scales. Challenges precipitated by this transition are several and they call for new
paradigms for modeling, analysis, control, and optimization. We adopt a circuit-theoretic lens to propose
solutions to a few key challenges in this regard. Three instances are presented: a control strategy for
grid-forming inverters leveraging the dynamics of nonlinear oscillators, an approach to leverage systematically
engineered combinations of digital and analog circuits for real-time optimization, and synthesizing
equivalent-circuit representations for control- and physical-layer subsystems of power electronics to model their
dynamics and quantify large-signal stability. Through these vignettes, we demonstrate the capability to control,
optimize, model, and analyze power electronics converters with the flexibility, speed, and universality afforded
by familiar circuit elements and circuit laws.