Load Side Part
The equivalent circuit for load side is given below and the circuit behavior of the load-side part(CW voltage multiplier) will be detailed in the following.
The current iγ determines whether the current is zero, positive or negative. To study the behavior of load side it is required to know that the proposed CW voltage multiplier has following important points
1) Only one of the diodes in the Cockcroft Walton Voltage Multiplier circuit will conduct when iγ is not equal to 0;
2) The sequence of conducting diode is from right side to left side with even diodes conducting in positive half cycle and odd diodes conducting in negative half cycle.
3) The conduction condition of each diode is determined by the terminal current iγand
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To determine the charging and discharging behavior of the even and odd diodes two variables are used namely ECi and OCj.
ECi & OCj indicates the charging indices for the ith even capacitor and jth odd capacitor, respectively. ECi= 1 (OCj= 1) represents that theith even capacitor (the jth odd capacitor) is located on the left side of the conducting diode, while ECi= 0 (OCj= 0) represents that the ith even capacitor (the jth odd capacitor) is located in the right side of the conducting diode. These can however be better explained with an example. If SD =4, n=3 th i=2, then ECi = EC2 = 1, i=4, then ECi = EC4 = 1, i=6, then ECi = EC6 = 0, Similarly for, j = 1 then OCj = OC1 = 1,j = 3 then OCj = OC3 = 1, j = 5 then OCj = OC5 = 0,
It can be seen that for SD = 4, EC6 and OC5 are equal to zero while others are equal to one which indicates that capacitors C6 and C5 are located in the right side of the diode D4 and other capacitors are located on the left side of the diode D4 and it also indicates that capacitors that are located on the left side, in this case for Diode D4, capacitors C2 and C4 are being charged and the capacitors C1 and C3 are being
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From these one conclusion can be made that, during one line cycle, each diode conducts equal average current due to equality of energy transferring from left side diode to right sidediode. The mathematical model derived is the base for the proposed circuit and it can be used for increased number of stages. The mathematical model of the proposed converter described in this section can be used for simulation. The Figure 4.5 shows charging and discharing behaviour of the even and the odd capacitors for one cycle of the input voltage supply and also shows the variation of the current iγ of the converter
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