Obtaining the steadystate operation of a power electronic device by means of brute force computer simulation is not feasible in many practical cases. Fast steadystate algorithms that formulate the steadystate problem as a boundary problem and solve it using Newton's method have been proposed to overcome this difficulty. These algorithms are known as shooting algorithms. An extension of the shooting algorithm for piecewise linear circuits is provided. The complete Jacobian matrix that takes into account the switching instants variation is analytically derived for a state variable formulation of the steadystate problem of a piecewise linear circuit. A computer program PWiseSS based on this algorithm is used to solve a previously proposed test circuit of difficult convergence as well as to solve a realistic sixpulse converter of interest to the power electronics engineer.
References


1)

M. Celik ,
A. Atalar ,
M.A. Tan
.
A new method for the steadystate analysis of periodicallyexcited nonlinear networks.
IEEE Trans. Circuits Syst. I: Fundam. Theory Appl.
,
12 ,
964 
972

2)

R. Larcherveque ,
E. Ngoya
.
Compressed transient analysis speeds up the periodicsteadystate analysis of nonlinear microwave circuits.
1996 IEEE MTTS Int. Microw. Symp. Dig.

3)

Q. Wang ,
J.R. Martí
.
A waveform relaxation technique for steadystate initialisation ofcircuits with nonlinear elements and ideal diodes.
IEEE Trans. Power Deliv.
,
3 ,
1437 
1443

4)

E. Van den Eijnde ,
J. Schoukens
.
Steadystate analysis of a periodically excited nonlinear system.
IEEE Trans Circuits Syst. I: Fundam. Theory Appl.
,
2 ,
232 
242

5)

K.S. Kundert ,
A. SangiovanniVincentelli
.
Simulation of nonlinear circuits in the frequency domain.
IEEE Trans. Comput.Aided Des. Integr. Circuits Syst.
,
521 
535

6)

M.S. Nakhla ,
J. Vlach
.
A piecewise harmonic balance technique for determinationof periodic response of nonlinear circuits.
IEEE Trans. Circuits Syst.
,
85 
91

7)

T.J. Aprille ,
T.N. Trick
.
Steadystate analysis of nonlinear circuits with periodic inputs.
Proc. IEEE
,
1

8)

J. White ,
S.B. Leeb
.
An envelopefollowing approach to switching power converter simulation.
IEEE Trans. Power Electron.
,
2 ,
303 
307

9)

P. Pejovic ,
D. Maksimovic
.
A method for fast timesimulation of networks with switches.
IEEE Trans. Power Electron.
,
4 ,
449 
456

10)

P. Pejovic ,
D. Maksimovic
.
A new algorithm for simulation of power electronicsystems using piecewiselinear device models.
IEEE Trans. Power Electron.
,
3 ,
340 
348

11)

R.C. Wong
.
Accelerated convergence to the steadystate solution of closedloop regulatedswitchingmode systems as obtained through simulation.
IEEE Power Electron. Spec. Conf. Rec.
,
682 
692

12)

A.N. Armanazi
.
Steadystate analysis of piecewise linear systems with periodic inputs.
Proc. IEEE

13)

D.C. Bedrosian ,
J. Vlach
.
An accelerated steadystate method for networks withinternally controlled switches.
IEEE Trans. Circuits Syst. I: Fundam. Theory Appl.
,
7 ,
520 
530

14)

Kato, T.: `Efficient steadystate analysis method with sensitivities of switch timingsby theshooting method', IEEE Conference Record of the Power Conversion conference, 1993, p. 550–556.

15)

E.A. ElBidweihy ,
K. AlBadwaihy
.
Steadystate analysis of static power converters.
IEEE Trans. Ind. Appl.
,
4 ,
405 
410

16)

A.M. Luciano ,
A.C.M. Strollo
.
A fast timedomain algorithm for the simulationof switching power converters.
IEEE Trans. Power Electron.
,
3 ,
363 
370

17)

V. Rajagopalan
.
(1987)
Computeraided analysis of power electronic systems.

18)

L.O. Chua ,
P.M. Lin
.
(1975)
Computeraided analysis of electronic circuits.

19)

N. Balabanian ,
T.A. Bickart ,
S. Seshu
.
Electrical network theory.
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