© The Institution of Engineering and Technology
This study presents an accurate and fast method for largesignal discretetime simulation of current controlled DC/DC buck converter in continuous conduction mode. It employs modal decomposition of the state transition matrix for each topology, resulting in an exact and computationally efficient set of decoupled discretetime state equations. This enables one to obtain an accurate solution for duty ratios iteratively, by equating the switching conditions of the state variables with state equations, which are nonlinear in duty ratio. In the absence of a compensating ramp, an efficient way to compute duty ratios explicitly, without iteration, is also suggested. Subsequently, state variables are propagated through the ON and OFF periods, using the state equations exactly but without the need to compute a matrix exponential. This way numerical integration at multiple intermediate points between two switching instants of interest is avoided, which makes the simulation considerably faster, leading to significantly reduced storage requirement compared to common simulation methods, such as using SPICE. It is shown under different parametric conditions that the proposed method has superior accuracy over several approximate simulation methods proposed in the literature. The method can be generalised for other converter topologies, operational modes and control configurations with appropriate changes.
References


1)

Brown, A., Middlebrook, R.D.: `Sampleddata modeling and analysis of switching regulators', IEEE Power Electronics Specialists Conf., June 1981, Boulder, p. 349–369.

2)

G.C. Verghese ,
M.E. Elbuluk ,
J.G. Kassakian
.
A general approach to sampleddata modeling for power electronic circuits.
IEEE Trans. Power Electron.
,
2 ,
76 
89

3)

Verghese, G.C., Spong, M., Lang, J.H.: `Modeling and control challenges in power electronics', IEEE Conf. on Decision and Control, December 1986, Athens, p. 39–45.

4)

Verghese, G.C., Bruzos, C.A., Mahabir, K.N.: `Averaged and sampleddata models for current mode control: a reexamination', IEEE Power Electronics Specialists Conf., June 1989, Milwaukee, p. 484–491.

5)

L.G. Vicuna ,
A. Poveda ,
L. Martinez ,
F. Guinjoan ,
J. Majo
.
Computeraided discretetime largesignal analysis of switching regulators.
IEEE Trans. Power Electron.
,
1 ,
75 
82

6)

F. Guinjoan ,
J. Calvente ,
A. Poveda ,
L. Martinez
.
Large signal modeling and simulation of switching DC–DC converters.
IEEE Trans. Power Electron.
,
485 
495

7)

R.C. Wong ,
H.A. Owen ,
T.G. Wilson
.
An efficient algorithm for the timedomain simulation of regulated energy storage dctodc converters.
IEEE Trans. Power Electron.
,
2 ,
154 
168

8)

A.M. Luciano ,
A.G.M. Strollo
.
A fast timedomain algorithm for the simulation of switching converters.
IEEE Trans. Power Electron.
,
3 ,
363 
370

9)

D. Li ,
R. Tymerski ,
T. Ninomiya
.
PECS – an efficient solution for simulating switched networks with nonlinear elements.
IEEE Trans. Ind. Electron.
,
2 ,
367 
375

10)

K.K. Tse ,
H.S.H. Chung ,
S.Y. Hui
.
Quadratic statespace modeling technique for analysis and simulation of power electronic converters.
IEEE Trans. Power Electron.
,
6 ,
1086 
1100

11)

N. Femia ,
M. Vitelli
.
Timedomain analysis of switching converters based on a discretetime transition model of the spectral coefficients of statevariables.
IEEE Trans. Circuits Syst. I
,
11 ,
1447 
1460

12)

K.G. Nicholas ,
T.J. Kazmierski ,
M. Zwolinski ,
A.D. Brown
.
Overview of SPICElike circuit simulation algorithms.
IEE Proc. Circuits Dev. Syst.
,
4 ,
242 
250

13)

J.S. Bay
.
(1999)
Fundamentals of linear state space systems.

14)

S. Ang ,
A. Oliva
.
(2005)
Power switching converter.

15)

N. Pongratananukul
.
SPICEbased automated software network analyzer.
28th IEEE INTELEC, Providence
,
1 
6

16)

http://www.abcelectronique.com/simulation_spice/HIFI_LIB.LIB.

17)

18)

http://www.vishay.com/diodes/list/product93321/.

19)

C. Hillman
.
Uprating of ceramic capacitors.

20)

A. Davoudi ,
J. Jatskevich
.
Realization of parasitics in statespace averagevalue modeling of PWM DC–DC converters.
IEEE Trans. Power Electron.
,
4 ,
1142 
1147

21)

A. Davoudi ,
J. Jatskevich
.
Parasitics realization in statespace averagevalue modeling of PWM DC–DC converters using equal area method.
IEEE Trans. Circuits Syst. I
,
9 ,
1960 
1967

22)

P.T. Krein ,
J. Bentsman ,
R.M. Bass ,
B.C. Lesieutre
.
On the use of averaging for the analysis of power electronic systems.
IEEE Trans. Power Electronics
,
2 ,
182 
190

23)

B. Lehman ,
R.M. Bass
.
Switching frequency dependent averaged models for PWM DC–DC converters.
IEEE Trans. Power Electron.
,
1 ,
89 
98
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