modelT2

Information

Diodes are switching elements that are primarily being used in electrical circuits, although nothing prevents them from being used also in other energy domains. Leaking diodes are a special class of non-linear resistors.

The causality of the ideal leaking diode element is free.

Potential variables:

 e:     Bondgraphic effort variable

 f:     Bondgraphic flow variable, normalized positive for flows into the model

 mode:  Sextary variable denoting the switch position (internal modulation signal)

 s1:    Curve parameter

 s2:    Curve parameter

 s3:    Curve parameter

 s4:    Curve parameter

 s5:    Curve parameter


Parameters:

 G0:    Leakage conductance in blocking state (default value = 1e-5 Mho)

 R1:    Leakage resistance in conducting state (default value = 1e-5 Ohm)

 R2:    Leakage resistance in conducting state (default value = 1e-5 Ohm)

 R3:    Leakage resistance in conducting state (default value = 1e-5 Ohm)

 em1:   First knee voltage (default value = 1 Volt)

 em2:   Second knee voltage (default value = 2 Volt)

 em3:   Third knee voltage (default value = 3 Volt)

 e0:    Fourth knee voltage (default value = 4 Volt)

 fm:    Bottom intermediate current (default value = 1 Amp)

 f0:    Top intermediate current (default value = 2 Amp)

Equations:

s2 = s1 - f0
s3 = s3 = s2 - (em2-em1)
s4 = s3 - (f0-fm)
s5 = s4 - (e0-em3)
mode = if s1 < 0 then blockinging else if s2 < 0 then c1 else if s3 < 0 then b1 else if s4 < 0 then c2 else if s5 < 0 then b2 else conducting
e = if mode == blocking then s1 else if mode == c1 then R1*s1 else if mode == b1 then (em1 + s2) else if mode == c2 then (em2 + R2*s3) else if mode == b2 then (em3 + s4) else (e0 + R3*s5)
f = if mode == blocking then G0*s1 else if mode == c1 then s1 else if mode == b1 then f0 else if mode == c2 then (f0 - s3) else if mode == b2 then fm else (fm + s5)

References:

1. Otter, M., H. Elmqvist, and S.E. Mattsson (1999), "Hybrid Modeling in Modelica Based on the Synchronous Data Flow Principle," Proc. CACSD'99, IEEE Symposium on Computer-Aided Control System Design, Hawaii, August 22-27, 1999, pp. 151-157.

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