28.6 : 快速解耦和直流功率流

Power system operations often face generator or transmission-line outages. Real-time contingency information helps anticipate problems and develop strategies.

Fast power flow algorithms simplify the Jacobian matrix to provide rapid solutions through decoupled equations.

Consider an unexpected generator outage in a city's power grid. These algorithms quickly calculate power flow changes, helping operators manage efficiently.

Further simplification assumes constant voltage magnitudes and small angle differences, resulting in constant matrices that don't need recalculating during iterations.

Despite more iterations, fast decoupled power flow is quicker than the Newton-Raphson algorithm and is used for approximate solutions.

DC power flow further streamlines the process by keeping the voltage magnitudes constant at one per unit.

This modifies the power flow on a line from bus j to bus k with known reactance, reducing the real power balance equations to a linear problem.

Similar to solving DC resistive circuits, this technique provides an approximate solution, valued for its simplicity and speed in power system restructuring.