powerCircuitSimulation: The Power Circuit Simulator

In mistat: Data Sets, Functions and Examples from the Book: "Modern Industrial Statistics" by Kenett, Zacks and Amberti

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 (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

powerCircuitSimulation(seed=123, each=3)

mistat documentation built on March 7, 2023, 6:43 p.m.