in MATLAB environment

Conductance model of light discharges

for electric circuits modeling

Jan Koprnicky, Ales Richter

Department of Electrical Engineering, Faculty of Mechatronics Technical University of Liberec - Czech Republic

in MATLAB environment

scheme of the problem

G - model of discharge lamps in

electric circuits

Discharge lamps in electric circuits

in MATLAB environment

scheme of the problemG-model of

discharge lamps in electric circuits

Data adjustmentMeasurement Identification

Parameters

Discharge lamps in electric circuits

in MATLAB environment

Measurement of the lamp u(t) and i(t)

using of EMU2 measurement device of KEL TUL using of commercial devices – digital oscilloscopes frequency analyzers

u(t)

i(t)

t

t

in MATLAB environment

Data adjustment

- for identification processG(t) counting u(t), i(t), G(t) filtering waves shifting waves inverting

u(t)

i(t)

t

t

shifting

inverting

in MATLAB environment

Identification

G(t) differential equation using

identification algorithm based onfminsearch() minimum of abs(g(meas)-g(count))

012

23

32

1k2 bG(t)b(t)Gb(t)Gb)a(iadt

dG(t)

in MATLAB environment

Example

MB

NET

HID lamp

measured circuit and its modelparameters are in vector [a2 a1 b3 b2 b1 b0] in Lamp u(i) box

in MATLAB environment

Waveforms of u(t) and i(t)

0 0.005 0.01 0.015 0.02 0.025 0.03 0.035-300

-200

-100

0

100

200

300

t [s]

U [V

], I*

0.01

[A]

0.05 0.06 0.07 0.08 0.09 0.1-300

-200

-100

0

100

200

300

t [s]

U [V

], I*

0.01

[A]

measured simulated