Steady‐State Power Flow

This chapter discusses the power flow formulation and solution process. It discusses calculating transmission‐line active and reactive power flow between the buses, setting up the admittance matrix of a power network, formulating the power flow problem, and the Newton‐Raphson algorithm for solving nonlinear power flow equations. The chapter also discusses more advanced topics on using sparse factorization to minimize the storage and computation effort of the Newton‐Raphson method, and performing powerflow for multiple power control regions with specified interface flows, which is commonly known as multi‐area power flow. It provides the power flow formulation of the steady‐state operation of a power system and its solution using the Newton‐Raphson method. The chapter describes advanced features such as multi‐area power flow and tie‐line flow control as well as computational savings from decoupled power flow and sparse factorization.