Approximate solution to the reactive power flow and its application to voltage stability in microgrids

the work presents two main contributions. First, for sufficiently-high nsource voltages, we guarantee the existence of a high-voltage solution for the reactive power flow equations and provide its approximate analytical expression. We derive a bound on the approximation error and study its asymptotic behavior for large source voltages. Second, we apply our previous result to to a recently proposed droop control for voltage stabilization