Journal of Minerals & Materials Characterization & Engineering, Vol. 10, No.11, pp.1087-1102, 2011
jmmce.org Printed in the USA. All rights reserved
1087
Parametric Optimization of PMEDM Process using Chromium Powder
Mixed Dielectric and Triangular Shape Electrodes
Kuldeep Ojha
1*,
R. K. Garg
1
, K. K. Singh
2
1
Department of Industrial and Production Engineering, Dr B. R. Ambedkar National Institute of
Technology, Jalandhar-144011, Punjab, India
2
Department of Mechanical Engineering & Mining Machinery Engineering, Indian School of
Mines (ISM), Dhanbad-826004, Jharkhand, India
*Corresponding Author: kojha.gvc@gmail.com
ABATRACT
In this article, parametric optimization for material removal rate (MRR) and tool wear rate
(TWR) study on the powder mixed electrical discharge machining (PMEDM) of EN-8 steel has
been carried out. Response surface methodology (RSM) has been used to plan and analyze the
experiments. Average current, duty cycle, angle of electrode and concentration of chromium
powder added into dielectric fluid of EDM were chosen as process parameters to study the
PMEDM performance in terms of MRR and TWR. Experiments have been performed on newly
designed experimental setup developed in laboratory. Most important parameters affecting
selected performance measures have been identified and effects of their variations have been
observed.
Keywords: EDM; PMEDM; MRR; TWR; Optimization
1. INTRODUCTION
Electrical discharges machining (EDM) is an important manufacturing process for tool mould
and die industries. This process is finding increasing application because of its ability to produce
geometrically complex shapes and its ability to machine materials irrespective to their hardness.
However, poor surface finish and low machining efficiency in comparison to other non
conventional machining process limits its further applications [1, 2]. Powder mixed electrical
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R. K. Garg, K. K. Singh Vol.10, No.11
discharge machining (PMEDM) is a relatively new material removal process applied to improve
the machining efficiency and surface finish in presence of powder mixed dielectric fluid [1, 3-
13].
Researchers explained the working principle of powder mixed electrical discharge machining
process [1, 14]. When a voltage is applied between the electrode and the work piece facing each
other with a gap, an electric field in the range of 10
5
–10
7
V/m is created. The powder particles in
the spark gap get energized. These charged particles are accelerated by the developed electric
field and act as conductors. The conductive particles promote breakdown in the gap and also
increase the spark gap between tool and the workpiece. Under the sparking area, the particles
come closer and arrange themselves in chain like structures between both the electrodes. The
interlocking between the different powder particles takes place in the direction of current flow.
This chain formation helps in bridging the discharge gap between electrodes and also results in
decreasing the insulating strength of the dielectric fluid. The easy short circuit takes place,
causing early explosion in the gap resulting in series discharges under the electrode area. The
faster sparking within a discharge occur causing faster erosion from the workpiece surface and
hence the material removal rate (MRR) increases. At the same time, the added powder also
modifies the plasma channel making it enlarged and widened. The sparks are uniformly
distributed among the powder particles, hence electric density of the spark decreases. Due to
uniform distribution of sparks among the powder particles, shallow craters are produced on the
workpiece surface resulting in improvement in surface finish.
2. LITERATURE REVIEW
Erden et al. [10] investigated the effect of abrasive powder mixed into the dielectric fluid and
proposed that the machining rate increased with an increase of the powder concentration due to
decreasing the time lag. Jeswani [11] investigated the effect of addition of graphite powder to
kerosene and proposed that the material removal rate was improved around 60% and electrode
wear ratio was reduced about 15% by using the kerosene oil mixed with 4 g/l graphite powder.
Mohri et al. [12, 15, 16], Yan et al. [17-19], and Uno et al. [20] investigated the influence of
silicon powder addition on machining rate and surface roughness in EDM. Furutani et al. [7],
Wong et al. [21, and Yan et al. [22] proposed that the machined surface properties, including
hardness, wear resistance, and corrosion resistance could be significantly improved by using the
PMEDM process. Wu [23] discussed the improvement of the machined surface by adding
aluminum powder and surfactant into dielectric fluid. Surfactants are compounds that lower the
surface tension of a liquid, the interfacial tension between two liquids, or that between a liquid
and a solid. Surfactants may act as detergents, wetting agents, emulsifiers, foaming agents, and
dispersants. Polyoxythylene-20-sorbitan monooleate was added as surfactant in his work.
Narumiya et al. [5] concluded that Al and Si powders yield better surface finish under specific
working conditions. Kobayashi et al. [24] investigated the effects of suspended powder in
Vol.10, No.11 Parametric Optimization of PMEDM Process 1089
dielectric fluid on MRR and SR of SKD-61 material. Uno et al. [25] Studied the effect of nickel
powder mixed with working fluid modifies the surface of aluminum bronze components. Okada
et al. [26] proposed a new method for forming hard layer containing titanium carbide by EDM
with carbon powder mixed fluid using titanium electrode. Chow et al. [27] studied the EDM
process by adding SiC and aluminum powders into kerosene for the micro-slit machining of
titanium alloy. Wang et al. [28] investigated the effect of Al and Cr powder mixture in kerosene.
Tzeng and Lee [3] reported the effect of various powder characteristics on EDM of SKD-11
material. Furutani and Shiraki [29] proposed a deposition method of lubricant layer during
finishing EDM process to produce parts for ultra high vacuum. Simao [30] explored the role of
PMEDM in modifying the surface properties of the workpiece by application of Taguchi method.
Pecas and Henriques [31] Investigated the influence of silicon powder mixed dielectric on
conventional EDM. The relationship between the roughness and pulse energy was roughly
investigated under a few sets of the conditions in the removal process. However, the effect of the
energy was not systematically analyzed. Kansal [14] worked to optimize the process parameters
of PMEDM by using the response surface methodology. Çogun et al. [32] made an experimental
investigation on the effect of powder mixed dielectric on machining performance. Kansal et al.
[33] studied the effect of Silicon powder mixed EDM on machining Rate of AISI D2 Die Steel.
P. Pecas et al. [34, 35] investigated the effect of the electrode area in the surface roughness and
topography and also the influence of the powder concentration and dielectric flow in the surface
morphology. Prihandana et al. [36] investigated the effect of micro-powder suspension and
ultrasonic vibration of dielectric fluid in micro-EDM processes by applying the Taguchi
approach. Furutani et al. [37] investigated the influence of electrical conditions on performance
of electrical discharge machining with powder suspended in working oil for titanium carbide
deposition process. Kung et al. [38] studied the influence of MRR and electrode wear ratio in the
PMEDM of cobalt-bonded tungsten carbide. Kojha et al. [39, 40] investigated the effect of
Nickel Micro Powder Suspended Dielectric on EDM Performance Measures of EN-19 Steel.
Elaborate scrutiny of the literature reveals that material removal mechanism of PMEDM process
is very complex and theoretical modeling of the process is very difficult. Regarding empirical
results, much research work is required with more work-tool-powder-parametric combinations to
make the process commercially applicable. Also, most of the research work is with Al, Si, and
graphite powders. Much investigation is needed regarding other types of powder like Cr, Ni, Mo,
etc. Also, EDM performance measures are influenced by electrode design [41- 43]. There is a
literature gap regarding investigation of influence of electrode profile parameters on PMEDM
performance measures.
In present research work, different parametric combinations of average current, duty cycle, angle
of triangular electrode, and powder concentration of chromium in dielectric have been explored
for EN- 8 steel. Literature review reveals that this combination has not been explored yet. EN-8
steel finds wide applications in fabrication of components of small cross section, requiring low
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tensile strength, as well as heavy forging in the normalized condition for automotive & general
engineering such as axles, clutch, shafts, presses & Punches Parts, Piston rods & gear rods.
Investigation of EN-8 steel with promising emerging area of PMEDM is useful in research field.
3. DESCRIPTION OF EXPERIMENTS
3.1 Experimental Set-Up
Figure 1 shows line diagram of experimental setup used for experimentation. The experiments
have been performed on T- 3822 EDM machine manufactured by Electronica. The points
considered in designing PMEDM set-up are-
The powder should not enter the main dielectric tank to avoid filtering of powder
particles
The dielectric should be continuously stirred or circulated to prevent settling of the
powder and to maintain uniform concentration.
Figure 1. Line diagram of experimental setup
The main dielectric sump has been disconnected from dielectric tank by valve arrangements. To
obtain even and homogeneous distribution of powder particles in suspended form in dielectric, a
flush mixing was provided in the tank by means of 25mm diameter plastic pipe with 03mm
diameter holes in it. The dielectric was sucked from bottom level of tank by means of a pump
(power- 1.5 W, and maximum discharge-5500 LPH) and was pumped into plastic pipe frame.
The output from pump is divided into two parts and from one part flushing nozzle is connected.
Flow through flushing nozzle is adjusted to 500 lit /hour through 4 mm opening nozzle by
adjusting valve opening.
Vol.10, No.11 Parametric Optimization of PMEDM Process 1091
3.2 Materials used in Experiments
The work piece material used in this study is EN-8 steel. The chemical composition of steel as
determined by optical emission spectrophotometer analysis is summarized in TABLE 1. Other
specifications of material given by manufacturer are given in TABLE 2.
TABLE 1: Chemical composition of steel
EN-8 Steel
composition
C% Si% Mn% S% P% Iron
0.35 0.09 0.67 0.20% 0.015%
Rest
TABLE 2: Specifications of work piece material
Specifications
of EN-8
Hardening
Temp
Quenching
Medium
Tempering
Temperature
750-900 Oil 150-200
Commercial copper with 99% purity (having electrical conductivity 5.69 × 10
7
S/M) has been
applied as tool electrode. By spectrophotometer analysis the composition of electrode material
has been determined. Three different electrodes of constant cross-sectional area of 50 mm
2
and
varying angles of 50
0
, 90
0
and 130
0
have been manufactured on wire-cut EDM machine. The
fabricated electrodes are shown in Figure 2. Commercial kerosene has been used as dielectric
fluid. The specifications have been summarized in TABLE 3.
Figure 2 Fabricated copper electrodes
TABLE 3: Specifications of kerosene oil
Specifications
Kerosene
Dielectric
constant
Electrical
conductivity
Density
Dynamic
viscosity
1.8 1.6×10
-
14
S/m
730 0.94 m
Pas
Also, the properties of chromium powder suspended in dielectric have been summarized in
TABLE 4.
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TABLE 4: Specifications of powder used
Particle size Cr
%
C% S% P% Si% Al% Fe% Sieve
Analysis
-325
Mesh
Electrical
Conductivity
45-55 µm 99 0.01
0.015 0.015 0.09 0.08 0.01 97%
7.9
x 106 S m
3.3 Experimental Settings
Following experimental settings has been applied in study.
TABLE 5: Experimental settings
Experimental
settings
Polarity Supply Volt Dielectric
flow rate
Power factor Machining time
Positive 415, 3phase,50
Hz
500 Lit/hr 0.3
15
inutes
4. DESIGN OF EXPERIMENTS
4.1 Selection of Design Factors
The status of chromium powder particles mixed into the dielectric fluid has a significant role in
determining and evaluating the EDM characteristics of a product. There are many design factors
to be considered concerning the effects of chromium powder particles, but in this study
concentration of suspended powder particles has been taken as variable. In addition, the
discharge current (I
P
, A) and pulse on time (τ
P
, µs) were only taken into account as design
factors. The reason why these two factors have been chosen is that they are the most general and
frequently used among EDM researchers. Electrode angle has also been selected as design factor
as electrode shape parameter. Figure 3 is final work piece.
Figure 3 Work piece after experimentation
Vol.10, No.11 Parametric Optimization of PMEDM Process 1093
4.2 Selection of Response Variables
The response variables selected in this study were MRR and TWR. Both MRR and TWR refer to
the machining efficiency of the PMEDM process and the wear of copper electrode, respectively,
and are defined as follows.
MRR (mm
3
/min) = (Wear weight of work piece)/ (time of machining× density of work piece
material)
TWR (mm
3
/min) = (Wear weight of tool electrode)/ (time of machining× density of electrode
material)
The work piece and electrode were weighed before and after each experiment using an electric
balance with a resolution of 0.001 mg to determine the value of MRR and TWR. For efficient
evaluation of the PMEDM process, the larger MRR and the smaller TWR are regarded as the
best machining performance. Therefore, the MRR is considered as a “the larger-the-better
characteristic” and the TWR is considered as “the smaller-the-better characteristic” in this
experimentation.
4.3 Experimental Design
Response surface methodology (RSM) is used in design matrix formation which is an empirical
modeling approach using polynomials as the local approximations to obtain true input/output
relationships. The experimental plans were designed on the basis of the central composite design
(CCD) technique of RSM. The factorial portion of CCD is a full factorial design with all
combinations of the factors at two levels (high, +1 and low, −1) and composed of the eight star
points and seven central points (coded level 0). Central points are the midpoint between the high
and low levels. The star points are at the face of the cube portion on the design that corresponds
to an α value of 1, and this type of design is commonly called the “face-centered CCD”. In this
study, the experimental plan was conducted using the stipulated conditions according to the face-
centered CCD and involved a total of 30 experimental observations at four independent input
variables. The machining time for each experimental specimen is 15 min. This was set up before
the operation of the machine reached the stable state. The levels of design factors have been
selected in accordance with literature consulted as well as by personal experience. The design
factors selected for study with their low and high levels are summarized in TABLE 6.
Design Expert 8.0.4 software was used for design of experiments, and regression and graphical
analysis of data obtained. The optimum conditions have been obtained by solving the regression
equations and by analyzing response surface contours.
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TABLE 6: Process parameters and their levels
Parameters Notation Unit Range and levels
Natural Coded -1 0 +1
Current I X
1
A 4 6 8
Duty cycle (%) D (%) X
2
% 54 63 72
Powder concentration C X
3
g/l 2 4 6
Tool angle A X
4
Degree 50 90 130
5. RESPONSE SURFACE MODELING
As stated earlier Response surface methodology has been applied for modeling and analysis of
parameters. The quantitative relationship between desired responses and independent process
variables can be represented as
Y= f (X
1
, X
2
, X
3,
……………. X
n
)
Where Y is the desired response, f is the response function and X1, X2... are independent
parameters. By plotting the expected responses, a surface known as Response surface is
obtained. RSM aims at approximating f by using the fitted second order polynomial regression
model which is called the quadratic model. The model can be represented as follows-
n n
Y=C
0
+ C
i
X
n
+ d
i
X
i2
± €
I=1 i=1
6. RESULTS AND DISCUSSIONS
30 experimental runs have been conducted and values of MRR and TWR along with design
matrix are given in TABLE 7 to avoid any systematic error creeping into system. Analysis of
variance (ANOVA) is performed on collected data for testing significance of regression model
and model coefficients.
Vol.10, No.11 Parametric Optimization of PMEDM Process 1095
TABLE 7: Experimental design matrix and collected data
Run
No
Coded values Natural Values Responses
X
1
X
2
X
3
X
4
I
(A)
D
(%)
C
(g/l)
D
(Deg
ree)
MRR
(mm
3
/min)
TWR
(mm
3
/min)
1 0 0 0 0 6 63 4 90 8.61 0.04
2 +1 0 0 0 8 63 4 90 7.78 0.035
3 0 0 0 +1 6 63 4 130 5.83 0.033
4 -1 -1 -1 -1 4 54 2 50 1.72 0.03
5 0 0 0 0 6 63 4 90 8.64 0.031
6 0 0 -1 0 6 63 2 90 8.01 0.022
7 -1 0 0 0 4 63 4 90 7.98 0.029
8 +1 +1 -1 +1 8 72 2 130 6.66 0.021
9 +1 +1 -1 -1 8 72 2 50 5.42 0.036
10 0 0 0 0 6 63 4 90 7.89 0.028
11 +1 +1 +1 +1 8 72 6 130 13.41 0.034
12 +1 -1 -1 +1 8 54 2 130 3.25 0.039
13 -1 -1 +1 +1 4 54 6 130 3.31 0.016
14 -1 -1 -1 +1 4 54 2 130 2.74 0.013
15 +1 -1 -1 -1 8 54 2 50 8.72 0.041
16 +1 +1 +1 -1 8 72 6 50 9.02 0.033
17 0 0 0 0 6 63 4 90 7.76 0.031
18 +1 -1 +1 -1 8 54 6 50 11.01 0.035
19 +1 -1 +1 +1 8 54 6 130 10.31 0.032
20 0 -1 -1 0 6 54 4 90 7.79 0.034
21 0 +1 -1 0 6 72 4 90 6.52 0.026
22 -1 +1 -1 -1 4 72 2 50 1.54 0.016
23 -1 +1 +1 +1 4 72 6 130 2.09 0.02
24 0 0 +1 +1 6 63 6 90 6.65 0.032
25 -1 +1 +1 -1 4 72 6 50 3.28 0.033
26 0 0 0 0 6 63 4 90 7.53 0.026
27 -1 -1 +1 -1 4 54 6 50 2.75 0.025
28 0 0 0 0 6 63 4 90 7.98 0.031
29 0 0 0 -1 6 63 4 50 5.87 0.035
30 -1 +1 -1 +1 4 72 2 130 1.59 0.019
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6.1 Analysis of MRR
Figure 4, Figure 5 and Figure 6 shows the estimated response surface for MRR in relation to
the design parameters of average current with tool angle, powder concentration and duty cycle.
As can be seen from these figures, the MRR tends to increase, considerably with increase in
current for any value of other factors. Hence, maximum MRR is obtained at high current. The
MRR increases with increase in tool angle owing to increase in current. After certain level, the
MRR tends to decrease due to inefficient flushing. MRR is found to increase with duty cycle and
powder concentration. Powder concentration has much significant effect on MRR.
Figure 4 Response surface for MRR showing effect of current and tool angle and powder
concentration
Figure 5 Response surface for MRR showing effect of current and powder concentration
Vol.10, No.11 Parametric Optimization of PMEDM Process 1097
Figure 6 Response surface for MRR showing effect of current and duty cycle
6.2 Analysis of TWR
Figure 7, Figure 8 and Figure 9 shows the estimated response surface for TWR in relation to
the design parameters of average current with tool angle, powder concentration and duty cycle.
As can be seen from these figures, only current and electrode angle are dominant parameter
affecting TWR. The TWR decreases with increase in tool angle.
Figure 7 Response surface for TWR showing effect of current and powder concentration
Figure 8 Response surface for TWR showing effect of current and duty cycle
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Figure 9 Response surface for TWR showing effect of current and tool angle
6.3 Parametric Optimization
Optimization of parameters with the help of software suggests the following results. Following
constraints on the design space has been applied as shown in TABLE 8.
TABLE 8: Constraints in design space
Constraints
Name
Goal
Limit
Limit
Weight
Weight
Importance
A In range 4 8 1 1 3
B In range 54 72 1 1 3
C In range 2 6 1 1 3
D In range 50 130 1 1 3
MRR Maximize 1.54 13.41 1 1 3
TWR Minimize 0.013 0.041 1 1 3
Following solution has been suggested by software for optimum parameter settings.
Vol.10, No.11 Parametric Optimization of PMEDM Process 1099
TABLE 9: Optimum value in design space
Current 6.36
Duty cycle (%) 59.44
Powder concentration 6.00
Tool Angle 107
MRR 9.2163
TWR 0.0288
Desirability 0.529
7. CONCLUSIONS
In this article, quantitative analysis of machinability of EN-8 steel in PMEDM process has been
carried out. Chromium powder particles are mixed in EDM dielectric fluid. RSM has been
applied for analysis. Optimum results have been found as suggested by software.
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38. K.Y. Kung , J.T. Horng and K.T. Chiang, “Material removal rate and electrode wear ratio
study on the powder mixed electrical discharge machining of cobalt-bonded tungsten
carbide”, Int J Adv Manuf Technol, 40:95–104 DOI 10.1007/s00170-007-1307-2, 2009.
39. Ojha, K., Garg, R.K. and Singh, K.K., (2011) “The Effect of Nickel Micro Powder
Suspended Dielectric on EDM Performance Measures of EN-19 Steel”Journal of
1102 Kuldeep Ojha
,
R. K. Garg, K. K. Singh Vol.10, No.11
Engineering and Applied Sciences, Year: 2011, Volume: 6, Issue: 1, Page No.: 27-37, DOI:
10.3923/jeasci.2011.27.37
40. K. Ojha and R.K. Garg, “Parametric Optimization of PMEDM Process with Nickel Micro
Powder Suspended Dielectric and Varying Triangular Shapes Electrodes on EN-19 Steel”,
Journal of Engineering and Applied Sciences, Volume: 6, Issue: 2, Page No.: 152-156, DOI:
10.3923/jeasci.2011.152.156, 2011.
41. K. Ojha, R.K. Garg and K.K. Singh, “MRR Improvement in Sinking Electrical Discharge
Machining: A Review”, Journal of Minerals & Materials Characterization & Engineering,
Vol. 9, No.8, pp.709-739, 2010.
42. K. Ojha and R.K. Garg, “A review of tool electrode designs for sinking EDM process”,
Published and presented in WSEAS International Conference on Robotics Control and
Manufacturing Technology (ROCOM '11), Venice, Italy in March 8-10, 2011.
43. K. Ojha, R.K. Garg and K.K. Singh, “Innovative tool electrode designs for sinking EDM
process- A review”, Second International Conference on Production & Industrial
Engineering (CPIE-2010), NIT-Jalandhar, 3-5th December 2010.