28.4 : 電力潮流問題と解決策

The power flow problem calculates the voltage magnitude, phase angle, and real and reactive power flows in a balanced three-phase steady-state power system. Consider its single-line diagram providing three input data. Each bus has four variables: two are input data, and two are computed.

Power delivered to the bus is split into generator and load terms. Buses fall into three types. For each type, certain variables are given as input, while others are calculated by a power flow program.

Transmission lines are represented by equivalent pi circuits. Input data includes series impedance, shunt admittance, connected buses, and maximum mega-volt-amp rating.

This data constructs the bus admittance matrix, leading to the construction of nodal equations for the network and the determination of complex power delivered to each bus.

Gauss-Seidel power flow solutions use these nodal equations to calculate the complex power delivered. By taking real and imaginary parts of the derived equation, power balance equations are formed for each bus.

Newton-Raphson power flow solutions use these nonlinear power flow equations, offering more accuracy and faster convergence.