mistat (version 1.0-3)

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)

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.

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

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.

See Also

pistonSimulation, simulationGroup

Examples

powerCircuitSimulation(seed=123, each=3)