This paper develops simple but accurate continuous-time, large-signal
dynamic models for a Thyristor-Controlled Series Capacitor (TCSC). The
models are based on the representation of voltages and currents as ti
me-varying Fourier series, and focus on the dynamics of the short-term
Fourier coefficients. Truncating the series to keep only the fundamen
tal components provides a natural dynamic generalization of the famili
ar quasi-static phasor representation. Systematic simplifications or r
efinements of our fundamental phasor dynamics model yield a variety of
other models. We establish that even the simplest of these models pre
dicts the dynamic behavior of the TCSC very accurately. Our phasor mod
els provide a powerful basis for simulation, more than an order of mag
nitude faster than detailed time-domain circuit simulation. The phasor
models present an attractive alternative to sampled-data models, havi
ng the advantages of simpler representation, modularity, and direct co
mpatibility with the phasor models that are routinely used to represen
t the dynamics of generators and other power system components.