© The Institution of Engineering and Technology
This study presents an accurate and fast method for large-signal discrete-time 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 discrete-time 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 non-linear 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)
-
Verghese, G.C., Bruzos, C.A., Mahabir, K.N.: `Averaged and sampled-data models for current mode control: a re-examination', IEEE Power Electronics Specialists Conf., June 1989, Milwaukee, p. 484–491.
-
2)
-
R.C. Wong ,
H.A. Owen ,
T.G. Wilson
.
An efficient algorithm for the time-domain simulation of regulated energy storage dc-to-dc converters.
IEEE Trans. Power Electron.
,
2 ,
154 -
168
-
3)
-
A. Davoudi ,
J. Jatskevich
.
Parasitics realization in state-space average-value modeling of PWM DC–DC converters using equal area method.
IEEE Trans. Circuits Syst. I
,
9 ,
1960 -
1967
-
4)
-
http://www.vishay.com/diodes/list/product-93321/.
-
5)
-
L.G. Vicuna ,
A. Poveda ,
L. Martinez ,
F. Guinjoan ,
J. Majo
.
Computer-aided discrete-time large-signal analysis of switching regulators.
IEEE Trans. Power Electron.
,
1 ,
75 -
82
-
6)
-
S. Ang ,
A. Oliva
.
(2005)
Power switching converter.
-
7)
-
B. Lehman ,
R.M. Bass
.
Switching frequency dependent averaged models for PWM DC–DC converters.
IEEE Trans. Power Electron.
,
1 ,
89 -
98
-
8)
-
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.
-
9)
-
G.C. Verghese ,
M.E. Elbuluk ,
J.G. Kassakian
.
A general approach to sampled-data modeling for power electronic circuits.
IEEE Trans. Power Electron.
,
2 ,
76 -
89
-
10)
-
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
-
11)
-
K.K. Tse ,
H.S.H. Chung ,
S.Y. Hui
.
Quadratic state-space modeling technique for analysis and simulation of power electronic converters.
IEEE Trans. Power Electron.
,
6 ,
1086 -
1100
-
12)
-
N. Femia ,
M. Vitelli
.
Time-domain analysis of switching converters based on a discrete-time transition model of the spectral coefficients of state-variables.
IEEE Trans. Circuits Syst. I
,
11 ,
1447 -
1460
-
13)
-
A. Davoudi ,
J. Jatskevich
.
Realization of parasitics in state-space average-value modeling of PWM DC–DC converters.
IEEE Trans. Power Electron.
,
4 ,
1142 -
1147
-
14)
-
A.M. Luciano ,
A.G.M. Strollo
.
A fast time-domain algorithm for the simulation of switching converters.
IEEE Trans. Power Electron.
,
3 ,
363 -
370
-
15)
-
http://www.abcelectronique.com/simulation_spice/HIFI_LIB.LIB.
-
16)
-
Brown, A., Middlebrook, R.D.: `Sampled-data modeling and analysis of switching regulators', IEEE Power Electronics Specialists Conf., June 1981, Boulder, p. 349–369.
-
17)
-
J.S. Bay
.
(1999)
Fundamentals of linear state space systems.
-
18)
-
19)
-
C. Hillman
.
Uprating of ceramic capacitors.
-
20)
-
K.G. Nicholas ,
T.J. Kazmierski ,
M. Zwolinski ,
A.D. Brown
.
Overview of SPICE-like circuit simulation algorithms.
IEE Proc. Circuits Dev. Syst.
,
4 ,
242 -
250
-
21)
-
D. Li ,
R. Tymerski ,
T. Ninomiya
.
PECS – an efficient solution for simulating switched networks with nonlinear elements.
IEEE Trans. Ind. Electron.
,
2 ,
367 -
375
-
22)
-
F. Guinjoan ,
J. Calvente ,
A. Poveda ,
L. Martinez
.
Large signal modeling and simulation of switching DC–DC converters.
IEEE Trans. Power Electron.
,
485 -
495
-
23)
-
N. Pongratananukul
.
SPICE-based automated software network analyzer.
28th IEEE INTELEC, Providence
,
1 -
6
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-pel.2010.0015
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