TIME-DOMAIN BASED STEADY-STATE ...

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Figure 5.18^Steady-state waveforms for single-phase diode bridge rectifier ^. 47. Figure 5.19^Three-phase diode bridge rectifier ^. 48. Figure 5.20^Steady-state ...
TIME-DOMAIN BASED STEADY-STATE INITIALIZATION FOR THE EMTP by BRIAN KENNETH PERKINS B.A.Sc., The Univeristy of Toronto, 1991

A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF APPLIED SCIENCE

in THE FACULTY OF GRADUATE STUDIES DEPARTMENT OF ELECTRICAL ENGINEERING

We accept this thesis as conforming to the required standard

THE UNIVERSITY OF BRITISH COLUMBIA April 1993 © Brian Kenneth Perkins, 1993

In presenting this thesis in partial fulfilment of the requirements for an advanced degree at the University of British Columbia, I agree that the Library shall make it freely available for reference and study. I further agree that permission for extensive copying of this thesis for scholarly purposes may be granted by the head of my department or by his or her representatives. It is understood that copying or publication of this thesis for financial gain shall not be allowed without my written permission.

(Signature)

Department of

L7 At

Note that the solution of the n sensitivity networks is simply the matrix-valued solution of the discrete-time network with the time-dependent sources zeroed. The sensitivity networks

approach is a computationally efficient and accurate method for computing the Jacobian matrix. 3.8 Steady-state initialization algorithm Algorithm 3.2 depicts the proposed steady-state initialization algorithm in pseudocode form. Note that the algorithm is implemented within the framework of the solve code presented in Section 3.4. (The additional code over and above that in Algorithm 3.1 is marked with a double-dagger symbol (t)).

steady-state_init ( t

4-

0 tf4 ,



T, [Jh]^[0], [D^[U]

while t < t f, build rhs( compute([VB], [J3 ]) [rhs]^[AhA] [Jhi^[AAA] [J3] [Drhs]

4—



[G AB ] [VB]

[AhA][DJh] t

solve ( [VA] 4- backsub([GAA], [r hs]) [DVA ] 4— backsub^AA],[Drhs])

Algorithm 3.2 Time-domain steady-state initialization algorithm for linear networks (Continued ^)

17

^

update_history_terms ( [Jh]

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