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Simulation and analysis of RC circuit in MATLAB

MATLAB SIMULATION OF SERIES RC CIRCUIT

This will be divided into:
  • Practical analysis
  • Theoretical analysis
  • Conclusion
Circuit diagram of RC circuit
RC circuit
Using the RC branch, with R = 1Ω and C=1000uF

MATLAB SIMULATION
Matlab RC circuit

WAVE FORMS
  • Scope 2
Input voltage
Current flowing in the circuit
Voltage drop across the capacitor 
Matlab Rc circuit curve

Observing the wave form from scope2, we can see that the wave form of the current leads the wave form of the voltage by 900. This is in line with the fact that in pure capacitive circuit the current leads the voltage by an angle of 90o and in a non-pure capacitive circuit by an angle < 900.
  • Scope 3
Voltage drop across the capacitor
Voltage drop across the resistor 
Matlab RC circuit curve simulation

From scope3, we observe that the voltage across the capacitor (VC) , is out of phase with the voltage across the resistor (VR ) by 900.
Where VC lags VR with VR and I in phase.

THEORITICAL ANALYSIS
Matlab simulation of RC circuit
Using the RC branch, with R = 1Ω and C=1000uF

A) Determination of Vrms 
Calculation of root mean square value
B) Determination of the current in the circuit
Rc circuit analysis in MATLAB

C) Determination of voltage drop across the capacitor.
Matlab voltage drop across capacitor

D) Determination of voltage drop across the resistor
Matlab voltage drop across resistor

E) Determination of the power ( Apparent power, Active power and Reactive power)

  • Apparent Power
RC apparent power in MATLAB
  •    Active and Reactive power
Active and reactive power calculation
    
   F) Calculation of phase differences

Phase difference calculation in RC circuit

CONCLUSION
The table below shows the various values obtained from the simulation using Matlab and from theoretical analysis. These would enable us to draw a conclusion.

Theoretical and practical comparison of MATLAB result
From the table, by comparing the theoretical and the simulated results we see that the results are coherent.

By EKETECH

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