scholarly journals A bond graph pseudo-junction structure for non-linear non-conservative systems

2016 ◽  
Author(s):  
R. Galindo ◽  
R. F. Ngwompo
Keyword(s):  
Bond Graph ◽  
Non Linear ◽  
Conservative Systems ◽  
Junction Structure

A representation for planar point contact joints in the multibody mechanical bond graph library

1998 ◽  
Vol 212 (4) ◽  
pp. 305-313 ◽  
Author(s):  
W Favre ◽  
S Scavarda
Keyword(s):  
Point Contact ◽  
Bond Graph ◽  
The Body ◽  
Graph Representation ◽  
Kinematic Constraints ◽  
Contact Joint ◽  
Cam Follower ◽  
Mechanical Bond ◽  
Junction Structure ◽  
Two Bodies

In this paper a bond graph representation of the point contact joint between two bodies with any outline curves and in planar motion is proposed. The body geometry and frames are described, the kinematic constraints attached to the point contact joint are identified and the bond graph junction structure is deduced. The example of an elliptic cam-follower is used to illustrate the bond graph representation. In particular this shows the need for the simulation to add strong damping and very stiff elements to the system.

Non-linear control design for a boost converter using bond graphs

2002 ◽  
Vol 216 (1) ◽  
pp. 1-11 ◽  
Author(s):  
X Lin-Shi ◽  
J-M Retif ◽  
B Allard ◽  
H Morel
Keyword(s):  
Current Mode ◽  
Bond Graph ◽  
Boost Converter ◽  
Linear Control ◽  
Control Law ◽  
Model Errors ◽  
Real Time Control ◽  
Power Semiconductor ◽  
Non Linear ◽  
Averaged Model

The bond graph technique is applied to model a boost converter in order to derive an averaged model. The obtained averaged model is non-ideal as it takes into account most of the converter non-linearities introduced by power semiconductor devices. An ideal averaged model of the converter can be deduced easily for computing a non-linear control law in a real-time control context. The current-mode control of the boost converter is considered. The zero dynamics are studied by both classical theory and the bond graph approach. A modified version of a conventional nonlinear control law is proposed in order to improve the dynamic behaviour and to reduce the sensitivity to control model errors. The non-ideal averaged model is used firstly for simulation analyses of the proposed control law and then for comparison with experimental results.

scholarly journals Modeling of a non-linear conductive magnetic circuit. 2. Bond graph formulation

1995 ◽  
Vol 31 (6) ◽  
pp. 4068-4070 ◽  
Author(s):  
H. Fraisse ◽  
J.P. Masson ◽  
F. Marthouret ◽  
H. Morel
Keyword(s):  
Magnetic Circuit ◽  
Bond Graph ◽  
Non Linear

Fault indicators and unique mode-dependent state equations from a fixed-causality diagnostic bond graph of linear models with ideal switches

2018 ◽  
Vol 232 (6) ◽  
pp. 695-708 ◽  
Author(s):  
Wolfgang Borutzky
Keyword(s):  
Linear Time ◽  
Bond Graph ◽  
Differential Algebraic Equations ◽  
Fault Detection And Isolation ◽  
Mode Switching ◽  
State Transitions ◽  
Algebraic Equations ◽  
State Equations ◽  
Analytical Redundancy ◽  
Junction Structure

Analytical redundancy relations are fundamental in model-based fault detection and isolation. Their numerical evaluation yields a residual that may serve as a fault indicator. Considering switching linear time-invariant system models that use ideal switches, it is shown that analytical redundancy relations can be systematically deduced from a diagnostic bond graph with fixed causalities that hold for all modes of operation. Moreover, as to a faultless system, the presented bond graph–based approach enables to deduce a unique implicit state equation with coefficients that are functions of the discrete switch states. Devices or phenomena with fast state transitions, for example, electronic diodes and transistors, clutches, or hard mechanical stops are often represented by ideal switches which give rise to variable causalities. However, in the presented approach, fixed causalities are assigned only once to a diagnostic bond graph. That is, causal strokes at switch ports in the diagnostic bond graph reflect only the switch-state configuration in a specific system mode. The actual discrete switch states are implicitly taken into account by the discrete values of the switch moduli. The presented approach starts from a diagnostic bond graph with fixed causalities and from a partitioning of the bond graph junction structure and systematically deduces a set of equations that determines the wanted residuals. Elimination steps result in analytical redundancy relations in which the states of the storage elements and the outputs of the ideal switches are unknowns. For the later two unknowns, the approach produces an implicit differential algebraic equations system. For illustration of the general matrix-based approach, an electromechanical system and two small electronic circuits are considered. Their equations are directly derived from a diagnostic bond graph by following causal paths and are reformulated so that they conform with the matrix equations obtained by the formal approach based on a partitioning of the bond graph junction structure. For one of the three mode-switching examples, a fault scenario has been simulated.

NON-LINEAR CONSERVATIVE SYSTEMS

1966 ◽  
pp. 74-145
Author(s):  
A.A. ANDRONOV ◽  
A.A. VITT ◽  
S.E. KHAIKIN
Keyword(s):  
Non Linear ◽  
Conservative Systems

Bond Graph Junction Structures

1975 ◽  
Vol 97 (2) ◽  
pp. 189-195 ◽  
Author(s):  
A. S. Perelson
Keyword(s):  
Constitutive Equations ◽  
Internal Bond ◽  
Bond Graph ◽  
Graph Theoretic ◽  
Junction Structure ◽  
The Relationship

The relationship between the port constitutive equations of a bond graph junction structure and the constitutive equations of its individual junctions is investigated. By combining network, bond graph, and graph theoretic techniques, the roles of bond orientation and causal assignments in determining when internal bond variables may be eliminated are examined. Graphical criteria are proven for establishing when a junction structure is an n-port.

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