A Stability Analysis of Thermostatically Controlled Loads for Power System Frequency Control

Figure 6

Bifurcation diagram for the stability of the single group solution to splitting in two. Stable if the parameters lie in the yellow or blue regions (the groups will ultimately merge); unstable in the green parameter region (the groups will never merge). Boundary lines are solutions to (61) as a function of (or to capture switching order reversal) and .