Synergetic control for m-parallel connected DC-DC buck converters

Abstract

Absfracf-A promising new approach, synergetic control theory, based on ideas of self-organization, is used to design control for the general case of m parallel-connected DC-DC buck converters serving resistive load. A general nonlinear synergetic PI control algorithms are derived using averaged models of the system. Using the general control laws, two particular cases are considered. They are two and three parallel-connected DC-DC buck converter systems. It is shown that the derived controls suppress unmeasured piecewise constant disturbances, nullify errors of current sharing among parallel connected converters, and ensure exponential asymptotic stability. It is pointed out that by change of control law parameters it is possible to choose between master-slave and democratic system operation regimes. Matlab/Simulink simulations of the closed loop performance are performed and characteristics of synergetic control design are discussed. Thus, it is shown that the approach allows designers to derive analytical control laws that ensure exponential asymptotic stability for nonlinear, high dimensional, and multiconnected systems.

Design of a nonlinear power system stabilizer using synergetic control theory

“…(8) and (9) into Eq. (24) and rearranging, the synergetic control law is then obtained, which is given by:…”

“…Recently, this theory has been successfully applied in the area of power electronics controls. For instance, its application to a single boost converter was introduced in [21], and some practical aspects with reference to both simulations and actual hardware were discussed in [22][23][24]. Also, synergetic control theory was satisfactorily applied in a practical battery charging system [25].…”

Synergetic Control of a Hybrid Battery-Ultracapacitor Energy Storage System

“…The synergetic control was developed by Kolesnikov et al [20] on the basis of the standard variable structure control. The method was later applied to a number of industrial processes, including problems in energy conversion [21][22][23][24][25]. In [24], the authors presented the optimization characteristic of the synergetic control method and showed that the control law can be derived using the analytical design of aggregated regulators (ADAR) method and calculus of variation principles.…”

Synergetic Control Strategies for Shipboard DC Power Distribution Systems

“…On the other hand, the problem of control design for paralleled buck converters has been addressed by such advanced techniques as sliding control [7], feedback linearization control [9], fuzzy logic control [10], and synergetic control [11,12,13,14]. Almost all these approaches are focused on equal current sharing among system converters and do not consider system level optimization of the system behavior.…”

“…Almost all these approaches are focused on equal current sharing among system converters and do not consider system level optimization of the system behavior. In contrast, the results presented in [12,14] have addressed the problem of dynamic current sharing by introducing this capability of synergetic control on the basis of a two-buck converter system feeding resistive load and constant power load respectively.…”