期刊
IEEE TRANSACTIONS ON SMART GRID
卷 13, 期 6, 页码 4284-4299出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSG.2022.3180432
关键词
Mathematical models; Power system stability; Eigenvalues and eigenfunctions; Asymptotic stability; Voltage; Stability criteria; Robust stability; DC micro-grids; solvablity; constant power load; MPPT; power-flow equation; fixed-point theorem; robust stability
资金
- National Natural Science Foundation of China [61933011, 61903383, 62192754]
- Fundamental Research Funds in the Central South University [2021zzts0195, TSG-00131-2021]
This paper investigates the existence conditions and stability of DC micro-grids with distributed generations and constant power loads. The power flow equation is derived and the solvability condition is obtained using Banach's fixed-point theorem. The stability of the DC micro-grid is analyzed by examining the eigenvalues of the Jacobian matrix.
The power flow equation of the DC micro-grid with distributed generations (DGs) under MPPT control (MPPT-DGs) and constant power loads (CPLs) is a strongly coupled nonlinear equation, which is difficult to solve. Moreover, the negative impedance of CPL tends to make the system unstable. This paper analyzes the existence conditions and stability of the power-flow of DC micro-grids, which contain distributed generations (DGs) under droop control (Droop-DGs), MPPT-DGs, and constant power loads (CPLs). To begin with, the power-flow equation of the DC micro-grid is derived. Next, by constructing a contraction mapping, the analytic solvability condition of the nonlinear power-flow equation is obtained based on Banach's fixed-point theorem. Under the proposed solvability condition, an equivalent linearized model around the equilibrium is developed to analyze the stability of the DC micro-grid. By analyzing the eigenvalues of the Jacobian matrix, we have obtained a robust stability condition of the equilibrium. Finally, simulation results verify the presented results.
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