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

Using the RC branch, with R = 1Ω and C=1000uF

MATLAB SIMULATION

WAVE FORMS

• Scope 2

Input voltage

Current flowing in the circuit

Voltage drop across the capacitor 

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 90^o and in a non-pure capacitive circuit by an angle < 90⁰.

• Scope 3

Voltage drop across the capacitor

Voltage drop across the resistor 

From scope3, we observe that the voltage across the capacitor (V_C) , is out of phase with the voltage across the resistor (V_R ) by 90⁰.

Where V_C lags V_R with V_R and I in phase.

THEORITICAL ANALYSIS

Using the RC branch, with R = 1Ω and C=1000uF

A) Determination of V_rms 

B) Determination of the current in the circuit

C) Determination of voltage drop across the capacitor.

D) Determination of voltage drop across the resistor

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

• Apparent Power

•    Active and Reactive power

    

   F) Calculation of phase differences

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.

From the table, by comparing the theoretical and the simulated results we see that the results are coherent.

By EKETECH