powerCircuitSimulation: 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

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)

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 ($V$)

Arguments

rsA: the resistance ($\Omega$) of A. A single value or a vector of length n.
rsB: the resistance ($\Omega$) of B. A single value or a vector of length n.
rsC: the resistance ($\Omega$) of C. A single value or a vector of length n.
rsD: the resistance ($\Omega$) of D. A single value or a vector of length n.
rsE: the resistance ($\Omega$) of E. A single value or a vector of length n.
rsF: the resistance ($\Omega$) of F. A single value or a vector of length n.
rsG: the resistance ($\Omega$) of G. A single value or a vector of length n.
rsH: the resistance ($\Omega$) of H. A single value or a vector of length n.
rsI: the resistance ($\Omega$) of I. A single value or a vector of length n.
rsJ: the resistance ($\Omega$) of J. A single value or a vector of length n.
trK: the resistance ($\Omega$) of K. A single value or a vector of length n.
trL: the resistance ($\Omega$) of L. A single value or a vector of length n.
trM: the resistance ($\Omega$) 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.

Author

Daniele Amberti

Details

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

$$V = \frac{136.67(a+\frac{b}{Z(10)})+d(c+e)\frac{g}{f}-h}{1+d\frac{e}{f}+b[frac{1}{Z(10)+0.006(1+\frac{13.67}{Z(10)})]+0.08202a}}$$ where $$a = \frac{Z(2)}{Z(1)+Z(2)}$$ $$b=\frac{1}{Z(12)+Z(13)}(Z(3)+\frac{Z(1)Z(2)}{Z(1)+Z(2)})+Z(9)$$ $$c=Z(5)+Z(7)/2$$ $$d=Z(11)\frac{Z(1)Z(2)}{Z(1)+Z(2)}$$ $$e=Z(6)+Z(7)/2$$ $$f=(c+e)(1+Z(11))Z(8)+ce$$ $$g=0.6+Z(8)$$ $$h=1.2$$ with $Z(1),\ldots,Z(10)$ resistances in $\Omega$ of the 10 resistances and $Z(11),Z(12),Z(13)$ are the $h_{FE}$ values of three transistors.

References

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

Examples

Run this code

powerCircuitSimulation(seed=123, each=3)

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