Rectifier - State Events



In [1]:

    
using Modia
using Modia.Electric
using ModiaMath.plot









    



 

Welcome to Modia - MODeling in julIA
Version 0.1

Modia has a contruct positive(c), which signals that a state event occurs when c becomes positive or negative and returns true when c>0.

Using this constrct it is possible to model an ideal diode. The i versus u characteristics is described as a parametric curve with curve parameter s: (v(s), i(s)), since the characteristic is vertical for non-negative voltage.

The Modia model of the ideal diaode is:



In [2]:

    
using Modia.Synchronous.positive
@model IdealDiode begin # Ideal diode
  @extends OnePort()
  @inherits v, i
  s = Float(start=0.0) # Auxiliary variable for actual position on the ideal diode characteristic
#=   s = 0: knee point
     s < 0: below knee point, diode conducting
     s > 0: above knee point, diode locking 
=#
@equations begin
  v = if positive(s); 0 else s end
  i = if positive(s); s else 0 end 
  end
end;



In [3]:

    
Rload=10;



In [4]:

    
@model Rectifier begin
  R=Resistor(R=Rload)
  r=Resistor(R=0.1)
  C=Capacitor(C=1,start=0)
  D=IdealDiode()
  V=SineVoltage(V=5,freqHz=1.5, offset=0, startTime=0)
@equations begin
  connect(V.p, D.p)
  connect(D.n, R.p)
  connect(R.n, r.p)
  connect(r.n, V.n)
  connect(C.n, R.n)
  connect(C.p, R.p)
  end
end;



In [5]:

    
result = simulate(Rectifier, 2);



In [6]:

    
plot(result, ("C.v", "V.v"))



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