The porosity of high-voltage transmission lines as an indicator of steady-state stability of electric power transmission

The problem of steady-state stability (SSS) of the electrical power transmission system is presented through the lens of the porosity (POR) of power-system high-voltage transmission lines. Employing a simple procedure, it is possible to trace the effect of electrical power flows on power system transmission line porosity and determine the steady-state stability limit. In order to measure the proximity to the collapse point of SSS with greater clarity, the indicator of porosity POR of a transmission line is defined as the SSS collapse indicator. Using the proposed indicator, the planners and operators of transmission lines can continually calculate the effect of current power flows and transmission topology on the ability of transmission lines to receive more electric power without endangering the SSS and desired power-flow profiles throughout a given system. When PORs of all transmission lines fall to one, the power system experiences the SSS collapse. Several benefits accrue from monitoring the POR of each transmission line, as full transmission capacity can be utilized, despite failures on some lines that had saturation and POR = 1 attainment. The SSS of a system is monitored through its components: transmission lines and their apparent power, allowing monitoring of the degree of stability of the system on the one hand and the causes of this condition on the other. Therefore, the results of the presented approach illustrate a more realistic and clearer picture of the stability of the power system compared to earlier approaches to investigate this extremely important aspect of system stability.