This book focuses on the nonlinear analysis of DC/DC power switching converter
systems.
As it is known that DC/DC switched-mode converter systems are typical
strongly nonlinear and time-varying ill-conditioned systems, and thus it is one
of the focuses and difficulties in the field of power electronics to understand and
reveal the operating mechanisms from the perspective of nonlinear theory, and to
analyze the stability of closed-loop systems under large signal disturbances.
After a comprehensive review of the typical large-signal methods for analyzing
switching converter systems (Chap. 1), we believe that the Equivalent-Small-Parameter (ESP) method, which combines the characteristics of perturbation method and harmonic balance principle, has the advantage of relatively simple calculation process and is easy to be understood. It is a symbol algorithm suitable for strong nonlinear systems. Therefore, it is of practical significance to apply it to the modeling and analysis of DC/DC switching converter systems. Thus, we first establish a unified nonlinear mathematical description of the DC/DC switched-mode converters (Chap. 2). Then in Chap. 3, the basic principles of the symbolic analysis method for strong nonlinear systems, the equivalent
small-parameter method, are introduced. Furthermore, in the following chapters, the
ESP method is applied to the steady-state or transient analysis of different kinds of
DC/DC switched-mode converter systems, wherein the converters with PWM
(pulse-width-modulation, belongs to hard-switching technology) or PFM
(pulse-frequency-modulation, belongs to soft-switching technology), current-mode
control or voltage-mode control, continuous-conduction-mode (CCM) and
discontinuous-conduction-mode (DCM), and so on, are all considered. Moreover,
the stability problem of closed-loop systems is studied based on the ESP method,
and finally a further extension to the modeling and analysis of fractional-order
converters is introduced in detail.