Modal Synthesis of ControlLaws in Electric Power Systems Based on Multi-step Decomposition

A modal approach to the synthesis of control laws in electric power systems based on a multistep decomposition of the energy system equations is considered. Thekeyelementsin this decomposition are pseudoinverse matrices and matrix zero divisors. The approach has no limitations on the multiplicity of assigned eigenvalues and the dimension of the synthesized systems inherent in known modal methods, and allows the formation of control laws in both numerical and analytical form. An example of the synthesis of the laws governing the unified energysystem ispresented.