The Power Circuit Simulator

Description

A simulator of a voltage conversion power circuit. The target output voltage of the power circuit is 220 volts DC. The circuit consists of 10 resistances labeled A to J, and 3 transistors, labeled K to M. These components can be purchased with different tolerance grades.

Usage

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powerCircuitSimulation(rsA = 8200, rsB = 220000, rsC = 1000, 
                       rsD = 33000, rsE = 56000, rsF = 5600, 
                       rsG = 3300, rsH = 58.5, rsI = 1000, 
                       rsJ = 120, trK = 130, trL = 100, 
                       trM = 130, 
                       tlA = 5, tlB = 10, tlC = 10, 
                       tlD = 5, tlE = 5, tlF = 5, 
                       tlG = 10, tlH = 5, tlI = 5, 
                       tlJ = 5, tlK = 5, tlL = 10, 
                       tlM = 5, 
                       each = 50, seed = NA)

Arguments

rsA

the resistance (Ω) of A. A single value or a vector of length n.

rsB

the resistance (Ω) of B. A single value or a vector of length n.

rsC

the resistance (Ω) of C. A single value or a vector of length n.

rsD

the resistance (Ω) of D. A single value or a vector of length n.

rsE

the resistance (Ω) of E. A single value or a vector of length n.

rsF

the resistance (Ω) of F. A single value or a vector of length n.

rsG

the resistance (Ω) of G. A single value or a vector of length n.

rsH

the resistance (Ω) of H. A single value or a vector of length n.

rsI

the resistance (Ω) of I. A single value or a vector of length n.

rsJ

the resistance (Ω) of J. A single value or a vector of length n.

trK

the resistance (Ω) of K. A single value or a vector of length n.

trL

the resistance (Ω) of L. A single value or a vector of length n.

trM

the resistance (Ω) of M. A single value or a vector of length n.

tlA

the tolerance of A. It is a number > 0 (e.g. 5% is 5.0)

tlB

the tolerance of B. It is a number > 0 (e.g. 5% is 5.0)

tlC

the tolerance of C. It is a number > 0 (e.g. 5% is 5.0)

tlD

the tolerance of D. It is a number > 0 (e.g. 5% is 5.0)

tlE

the tolerance of E. It is a number > 0 (e.g. 5% is 5.0)

tlF

the tolerance of F. It is a number > 0 (e.g. 5% is 5.0)

tlG

the tolerance of G. It is a number > 0 (e.g. 5% is 5.0)

tlH

the tolerance of H. It is a number > 0 (e.g. 5% is 5.0)

tlI

the tolerance of I. It is a number > 0 (e.g. 5% is 5.0)

tlJ

the tolerance of J. It is a number > 0 (e.g. 5% is 5.0)

tlK

the tolerance of K. It is a number > 0 (e.g. 5% is 5.0)

tlL

the tolerance of L. It is a number > 0 (e.g. 5% is 5.0)

tlM

the tolerance of M. It is a number > 0 (e.g. 5% is 5.0)

each

non-negative integer. Each element of previous parameters is repeated each times.

seed

a single value, interpreted as an integer. If specified make the simulation replicable.

Details

Factors affect the voltage output V via a chain of nonlinear equations:

volts=(136.67(a+(b/Z(10)))+d(c+e)(g/f)-h)/(1+d(e/f)+b[(1/Z(10))+0.006(1+(13.67/Z(10)))]+0.08202a)

where

a=Z(2)/(Z(1)+Z(2))

b=(1/(Z(12)+Z(13)))(Z(3)+(Z(1)Z(2)/(Z(1)+Z(2))))+Z(9)

c=Z(5)+Z(7)/2

d=Z(11)(Z(1)Z(2))/(Z(1)+Z(2))

e=Z(6)+Z(7)/2

f=(c+e)(1+Z(11))Z(8)+ce

g=0.6+Z(8)

h=1.2

with Z(1),…,Z(10) resistances in Ω of the 10 resistances and Z(11),Z(12),Z(13) are the h_{FE} values of three transistors.

Value

A data frame, a matrix-like structure, with each * n rows and with columns:

rsA numeric value of rsA
rsB numeric value of rsB
rsC numeric value of rsC
rsD numeric value of rsD
rsE numeric value of rsE
rsF numeric value of rsF
rsG numeric value of rsG
rsH numeric value of rsH
rsI numeric value of rsI
rsJ numeric value of rsJ
trK numeric value of trK
trL numeric value of trL
trM numeric value of trM
tlA numeric value of tlA
tlB numeric value of tlB
tlC numeric value of tlC
tlD numeric value of tlD
tlE numeric value of tlE
tlF numeric value of tlF
tlG numeric value of tlG
tlH numeric value of tlH
tlI numeric value of tlI
tlJ numeric value of tlJ
tlK numeric value of tlK
tlL numeric value of tlL
tlM numeric value of tlM
volts numeric output in volts (V)

Author(s)

Daniele Amberti

References

Kenett, R., Zacks, S. with contributions by Amberti, D. Modern Industrial Statistics: with applications in R, MINITAB and JMP. Wiley.

See Also

pistonSimulation, simulationGroup

Examples

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powerCircuitSimulation(seed=123, each=3)

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