Unstable behavior analysis and stabilization of double‐loop proportional‐integral control H‐bridge inverter with inductive impedance load

Abstract

Summary With the rapid development of renewable energy, inverters have been widely used in the distributed power system. For the safety of the distributed power system, the stable operation of the inverter is vital. Hence, this paper detects slow‐scale instability fast‐scale instability and in the double‐loop proportional‐integral (PI) control single‐phase full H‐bridge inverter with inductive impedance load by the discrete‐mapping model firstly. Next, the mechanism of the mechanism slow‐scale and fast‐scale behaviors are explained by state‐space average model and Filippov method, respectively. Then, passive damping method and sine wave compensation techniques are extended to the system to suppress the nonlinear behaviors. Finally, the PLECS simulation and experiments are utilized to verify the correctness of the investigations.

A Filippov method based analytical perspective on stability analysis of a DC‐AC H‐bridge inverter with nonlinear rectifier load

“…Localized PD instability was indicated in a bifurcation diagram 19 . Hopf bifurcation in VMC inverter with memristive load; 20 both Hopf and PD bifurcations in three‐phase voltage‐source inverter modeled as a virtual synchronous generator 21 and single‐phase inverter with double‐loop proportional‐integral (PI) controller supplying inductive load 22 have been reported. Co‐existing attractors along with cyclic‐fold and saddle‐node bifurcations have been shown in resonant inverters 23–25 .…”

Seamless transfer control for dual‐mode grid‐connected inverter with automatic PCC voltage regulation

“…Targeted for such application, the grid-connected (GC) DG inverters are normally designed to support two-mode operations, including both GC mode as a controlled current source and standalone (SA) mode as a controlled voltage source to provide uninterrupted power. [3][4][5][6][7][8][9] Figure 1 presents a general transfer process from GC mode to SA mode of grid-tied DG system. Initially, the system operates in GC mode.…”

“…As described in many grid codes, 1,2 distributed generation (DG) systems are supposed to be able to help maintain high power quality and reliable operation of the electrical grid after the grid aborts service for somehow and also able to provide continuous regulated power to critical local loads. Targeted for such application, the grid‐connected (GC) DG inverters are normally designed to support two‐mode operations, including both GC mode as a controlled current source and standalone (SA) mode as a controlled voltage source to provide uninterrupted power 3–9 …”

Backstepping global and structural stabilization of direct current/direct current boost converter

“…For years, many models and control techniques are proposed to analyze and to master the power converter complex behaviors. Indeed, many methods to analyze and control bifurcations and chaos in converters like boost, buck, buck–boost, and other systems that suffer from these undesirable, complex, and abnormal behaviors are reported in other studies 4‐10 …”