Research on the Minimization of the Power Loss of the DC Microgrids based on the Generalized Inverse of Matrix

Abstract

DC microgrids have been widely applied in the power systems. DC-DC converters are applied in parallel to realize the transform of energy from the distributed generations (DGs) to the DC bus in the circuit structure of the DC microgrid. Besides the control of the constant dc bus voltage accompany with the average current control the minimization of the power loss is an important problem of the control system of the DC microgrid. There is a contradiction between the average current control and the minimization of the power loss which shows that there is a relatively large power loss on the condition that the average current control is appiled. Contradictory equations are applied to indicate the phenomenon in a mathematical sense. By use of the generalized inverse of matrix and the method of Lagrange multipliers we can get the minimum norm and least squares solution with the average current and the given dc bus voltage. The correctness and validity of the proposed method are tested in the calculating example and simulation results.