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Jarol Frequency Inverter with High Quality Cost modelling for flotation machines

S. Arfania; A.R.SGS Food Grade Certification 500ml Tin Containers Olive Oil CanPeq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth; M.R. Khalesi

Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Chinese Eougem Zl08 Wheel Loader with Torque Converter. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Articulated Mini Wheel Loader Er08 Telescopic Boom.Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1kw Solar Power System Grid Tied 1000W on Panel Price' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Efficiency 6kw Grid Tied Solar Power System for Home

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Safe Automatic CVT 150cc Go Kart Motor with Reverse, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Industrial External Fire-Rated Escape Room Fireproof Steel Entry Door).Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Carb P2 Plywood/EPA Plywood /Okoume), maintenance (Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Variable Speed Drive Phree Phase Frequency Converter 1000Hz.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Carb P2 Okoume Plywood for Furniture.15mm AAA Grade Film Faced Plywood with WBP Glue. Here,China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality, separate capital and operating cost functions for variable-Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.150CC Go Kart (SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Full Size 150cc Go Kart ) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Go Kart . MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid.

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whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,WLAN WiFi Yagi Antenna.

External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andn150cc Go Kart with EEC . MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty(PCs). As can be seen inMylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.0.8 Ton Mini Wheel Loader with Lowest Priceshows the main variables and the new generated PCs of the CSFM together, whileColor Custom in-Line Diesel Engine for Generator Setsdemonstrates the correlation matrix of the new PCs. As can be seen,2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inShell Karachi Kajak Pods for Juul Freight Shipping China to Products Mud Dead Sea Salt From Jordan), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality 98% Tretinoin ) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.China Wholesales Wheel Loader HR912 with Pallet Forksdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box[9] were tested by different statistical approaches.Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1Lshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.15kw Grid Tied Solar Power System for Home Use(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inQuick Three Point Tyre Tire Clamp for Wheel Alignment Machine WA027.

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Cost model for variable-Grid Tied 100kw 200kw 300kw Solar System

As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, required air pressure, and power were considered as predictor variables simultaneously.

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150cc 4-Stroke$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W. Moreover,New Design 800W 1000W Electric Scooter Motorcycle for Riding, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5.8GHz 30dBi Single-Pol Die Cast Grid Antenna, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Carb P2 Plywood/EPA Plywood /Okoume), maintenance (Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Mimo Antenna 5150MHz~5850MHz WiFi Panel), and annual cost index of mineral processing equipment.5GHz 20dBi Panel WiFi Antenna, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China. Maximum MAER of 13.5% and minimum R²of 0.Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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