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RLC circuitby Cooler
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#1
May2711, 09:31 AM

P: 17

Hi...i have question on RLC circuit. Why my max.voltage of complex sinewave in Excel is different from the simulated complex waveform? which one is right?
max.voltage of complex waveform in excel = 106.8V max.voltage of complex waveform in simulation = 126.8V Should it be the same? 


#2
May2711, 01:20 PM

P: 1,089




#3
May2811, 06:40 AM

P: 17

v = 110sinωt + 22sin(3ωt + 50⁰) + 5.5sin(5ωt  35⁰)
R = 25 , L = 100mH , C = 11.3uF .....in RLC series circuit Freq = 50Hz that are the details of the circuit.... 


#4
May2811, 08:13 AM

Mentor
P: 11,626

RLC circuit



#5
May2811, 11:17 AM

P: 17

the voltage im concerned with is the output voltage (the last voltage coming out through all the components)....with all the voltages connected (in series) in one circuit.



#6
May2811, 11:38 AM

Mentor
P: 11,626

I've attached a figure of the circuit diagram for a series RLC circuit driving by three voltage sources. I've placed labels a,b,c,d at various points in the circuit path. Suppose we can measure the voltage between any chosen pair of labels (ab, ac, ad, bc, bd,...). Which pair represents the voltage that you're interested in? 


#7
May2811, 06:15 PM

P: 17

the voltage im after is at 'a'...the voltage coming out from the capacitor which is the output voltage waveform



#8
May2811, 07:13 PM

Mentor
P: 11,626




#9
May2911, 05:55 AM

P: 17

it is the voltage at a and d....



#10
May2911, 06:42 AM

Mentor
P: 11,626

The problem then boils down to finding the maximum absolute value for the function f(θ) = 110 sin(θ) + 22 sin(3θ + 50°) + 5.5 sin(5θ  35°) Note that the function is periodic since it's the sum of periodic terms. The "fundamental" period corresponds to is 2π radians for θ  all the terms of the function complete an integer number of complete cycles over that domain. If you plot the function over this domain you will observe the peaks (see figure attached). To find the actual values of the peaks, use whatever mathematical tools you are familiar with for finding function maxima and minima. 


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