SlideShare a Scribd company logo
1 of 24
Download to read offline
By- AdityA ShArmA
By- AdityA ShArmA

Principles on which compressors work:
 A compressor is a mechanical device that increases the
pressure of a gas by reducing its volume.(The fluid here is
generally air since liquids are theoretically incompressible).
 George Medhurst of England designed the first motorized air
compressor in 1799 and used it in mining.
2
Introduction

CLASSIFICATION
 There are mainly two types of Compressors-

 In a reciprocating compressor, a volume of gas is
drawn into a cylinder, it is trapped, and
compressed by piston and then discharged into
the discharge line. The cylinder valves control the
flow of gas through the cylinder; these valves act
as check valves.
 Reciprocating compressors can be Single acting or
double acting.
Reciprocating
Compressor

 Single–Stage Reciprocating Compressor
Compression is done in single stage or by single cylinder
only and it is used for generation of low pressure air.
 Double–stage Reciprocating Compressor
It is a compressor that produces highly pressurised air and
mostly it is used nowadays in heavy duty mechanical
devices.
Reciprocating Compressor
Types

 Different parts of Reciprocating compressor are listed
below:
 Suction valve.
 Suction Chamber.
 Piston & Piston Rod.
 Cylinder.
 Discharge valve.
 Discharge Chamber.
Reciprocating Compressor

 For low speed compressors (upto 330 rpm) and
medium speed compressors (330-600 rpm), pistons
are usually made of CAST IRON.
 Upto 7” diameter cast iron pistons are made of
solids. Those of more than 7” diameters are usually
hollow (to reduce cost).
 Carbon pistons are sometimes used for
compressing oxygen and other gases that must be
kept free of lubricant.
Piston

 Generally, the piston rod is fastened to the piston by
means of special nut that is prevented from
unscrewing. The surface of the rod has suitable degree
of finish designed to minimize wear on the sealing
areas as much as possible. The piston is provided with
grooves for piston rings and rider rings.
PISTON ROD
PISTON ROD AND
PISTON
Piston Rings
Piston Rings
 Piston rings provide a seal that prevents or minimizes
leakage through piston and liner. Metal piston rings
are made either in one piece, with a gap or in several
segments. Gaps in the rings allow them to move out
or expand as the compressor reaches operating
temperature. Rings of heavy piston are sometimes
given bronze, Babbitt or Teflon expanders or riders.
Lubrication is a must for metallic rings. Teflon rings
with Teflon rider bands are sometimes used to
support the piston when the gas do not permit use of
a lubricant.
Valves
 There are two valves namely suction and
delivery valve.
 The valves are of automatic type. They
open due to the effect of the differential
pressure between cylinder and the suction
or discharge chambers, and close due to
the force of springs acting on the plates
plus the differential pressure across the
valves.

Principle of Operation

Fig shows single-acting
piston actions in the
cylinder of a reciprocating
compressor.

The piston is driven by a
crank shaft via a connecting
rod.

At the top of the cylinder are
a suction valve and a
discharge valve.

A reciprocating compressor
usually has two, three, four,
or six cylinders in it.
13
14

As the piston travels toward the bottom dead center,
the volume of the cylinder increases and due to the
pressure difference the suction valve is opened.

The pressure inside the cylinder is slightly less than
suction line pressure.So, the volume of the gas starts
increasing as the piston moves towards BDC.

So, the piston continues its motion towards BDC till
the area above piston in the cylinder become full of
fluid(gas) & then the suction valve gets closed.

Now when the crankshaft moves further and
complete its revolution the piston also moves
in opposite direction this time towards TDC.

Now, again due to the Pressure difference
between the delivery line and inside of the
cylinder the delivery valves open in the
delivery stroke.

So, at point 3,the piston reaches the top dead
center TDC.

At top dead center, as the piston comes to a
complete stop prior to reversing direction,
the pressure across the valve is equal.

So, the discharge valve is closed.
16

At point 2, the pressure inside the cylinder has
become slightly greater than discharge line pressure.

This causes the valve opening allowing the gas to flow
out of the cylinder.

The volume continues to decrease toward point 3,
maintaining a sufficient pressure difference across the
discharge valve to hold it open.
17

Now Again, As the piston moves towards BDC,
the gas pressure inside the cylinder becomes less
than the suction line pressure, so the suction
valve opens again.

The cycle then starts over again.

The shape of the re-expansion line (Line 3-4) is
dependent on the same compression exponent
that determines the shape of the compression
line.

The states of the refrigerant in a reciprocating compressor can
be expressed by four lines on a PV diagram as shown in Fig

Single Acting Compressor
Operation

 They are used to generate High
pressurised air.
 They have one low pressure
compressor and one high pressure
compressor and in between them
there is an INTERCOOLER.
 Firstly, air goes into low pressure
compressor and compressed. Then
this compressed air goes to
INTERCOOLER(heat exchanger)
where its temperature is decreased by
Rejection of heat at Constant Pressure.
Multi Stage(Two Stage)
Reciprocating Compressor
Work
Saved

 Then the air is passed to the high pressure
compressor to get further compressed.
 Highly pressurized air is thus obtained from the
delivery valve of high pressure compressor.

 Reciprocating compressors are typically used where high
compression ratios (ratio of discharge to suction pressures) are
required per stage without high flow rates, and the process
fluid is relatively dry.
 P.E.T bottling industries, gas filling stations usually use
reciprocating compressors.
22
Application of compressors

 Processing equipment, Oxygen Generators Oil Atomization
use compressors of required capacity.
23
Thanks for listening

More Related Content

Similar to aditya-151207154017-lva1-app6892 (1).pdf

reciprocating compressor
reciprocating compressorreciprocating compressor
reciprocating compressorRajesh Sharma
 
reciprocating compressor
reciprocating compressorreciprocating compressor
reciprocating compressorRajesh Sharma
 
chaptrno-140114211033-phpapp02.pptx
chaptrno-140114211033-phpapp02.pptxchaptrno-140114211033-phpapp02.pptx
chaptrno-140114211033-phpapp02.pptxprabhakarjha82
 
chapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptchapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptBeselamuGodebo
 
chapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptchapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptzerihunsamuel1
 
chapter-no-3-air-compressors.ppt for electric
chapter-no-3-air-compressors.ppt for electricchapter-no-3-air-compressors.ppt for electric
chapter-no-3-air-compressors.ppt for electricbasant11731
 
chapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptchapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptDramilThakkar2
 
Compressors and working
Compressors and workingCompressors and working
Compressors and workingSaurabh Pande
 
Reciprocating compressor and pumps
Reciprocating compressor and pumpsReciprocating compressor and pumps
Reciprocating compressor and pumpshambardikar55
 
chapter-no-3-air-compressors (1).ppt
chapter-no-3-air-compressors (1).pptchapter-no-3-air-compressors (1).ppt
chapter-no-3-air-compressors (1).pptArchanaMaske2
 
Pp teme aircompressor-150514063233-lva1-app6892
Pp teme aircompressor-150514063233-lva1-app6892Pp teme aircompressor-150514063233-lva1-app6892
Pp teme aircompressor-150514063233-lva1-app6892Akash Ladani
 
Theory and application of reciprocating compressor m 3030
Theory and application of reciprocating compressor m 3030Theory and application of reciprocating compressor m 3030
Theory and application of reciprocating compressor m 3030EDUARDO RODRIGUEZ
 
Reciprocating compressor
Reciprocating compressorReciprocating compressor
Reciprocating compressorhambardikar55
 
Compressors and its applications
Compressors and its applicationsCompressors and its applications
Compressors and its applicationsTaha Malampatti
 

Similar to aditya-151207154017-lva1-app6892 (1).pdf (20)

Industrial compressor
Industrial compressorIndustrial compressor
Industrial compressor
 
reciprocating compressor
reciprocating compressorreciprocating compressor
reciprocating compressor
 
reciprocating compressor
reciprocating compressorreciprocating compressor
reciprocating compressor
 
chaptrno-140114211033-phpapp02.pptx
chaptrno-140114211033-phpapp02.pptxchaptrno-140114211033-phpapp02.pptx
chaptrno-140114211033-phpapp02.pptx
 
chapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptchapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.ppt
 
chapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptchapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.ppt
 
chapter-no-3-air-compressors.ppt for electric
chapter-no-3-air-compressors.ppt for electricchapter-no-3-air-compressors.ppt for electric
chapter-no-3-air-compressors.ppt for electric
 
chapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.pptchapter-no-3-air-compressors.ppt
chapter-no-3-air-compressors.ppt
 
Compressors and working
Compressors and workingCompressors and working
Compressors and working
 
Reciprocating compressor and pumps
Reciprocating compressor and pumpsReciprocating compressor and pumps
Reciprocating compressor and pumps
 
chapter-no-3-air-compressors (1).ppt
chapter-no-3-air-compressors (1).pptchapter-no-3-air-compressors (1).ppt
chapter-no-3-air-compressors (1).ppt
 
Air compressor.pptx
Air compressor.pptxAir compressor.pptx
Air compressor.pptx
 
Compressors
CompressorsCompressors
Compressors
 
compressors types
compressors typescompressors types
compressors types
 
Pp teme aircompressor-150514063233-lva1-app6892
Pp teme aircompressor-150514063233-lva1-app6892Pp teme aircompressor-150514063233-lva1-app6892
Pp teme aircompressor-150514063233-lva1-app6892
 
Theory and application of reciprocating compressor m 3030
Theory and application of reciprocating compressor m 3030Theory and application of reciprocating compressor m 3030
Theory and application of reciprocating compressor m 3030
 
Reciprocating compressor
Reciprocating compressorReciprocating compressor
Reciprocating compressor
 
Compressors and its applications
Compressors and its applicationsCompressors and its applications
Compressors and its applications
 
Types of compressors
Types of compressorsTypes of compressors
Types of compressors
 
UNIT 4.pdf
UNIT 4.pdfUNIT 4.pdf
UNIT 4.pdf
 

Recently uploaded

Introduction-To-Agricultural-Surveillance-Rover.pptx
Introduction-To-Agricultural-Surveillance-Rover.pptxIntroduction-To-Agricultural-Surveillance-Rover.pptx
Introduction-To-Agricultural-Surveillance-Rover.pptxk795866
 
Risk Assessment For Installation of Drainage Pipes.pdf
Risk Assessment For Installation of Drainage Pipes.pdfRisk Assessment For Installation of Drainage Pipes.pdf
Risk Assessment For Installation of Drainage Pipes.pdfROCENODodongVILLACER
 
Past, Present and Future of Generative AI
Past, Present and Future of Generative AIPast, Present and Future of Generative AI
Past, Present and Future of Generative AIabhishek36461
 
complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...asadnawaz62
 
What are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptxWhat are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptxwendy cai
 
Churning of Butter, Factors affecting .
Churning of Butter, Factors affecting  .Churning of Butter, Factors affecting  .
Churning of Butter, Factors affecting .Satyam Kumar
 
INFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETE
INFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETEINFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETE
INFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETEroselinkalist12
 
Electronically Controlled suspensions system .pdf
Electronically Controlled suspensions system .pdfElectronically Controlled suspensions system .pdf
Electronically Controlled suspensions system .pdfme23b1001
 
pipeline in computer architecture design
pipeline in computer architecture  designpipeline in computer architecture  design
pipeline in computer architecture designssuser87fa0c1
 
Application of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptxApplication of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptx959SahilShah
 
CCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdf
CCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdfCCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdf
CCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdfAsst.prof M.Gokilavani
 
GDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentationGDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentationGDSCAESB
 
EduAI - E learning Platform integrated with AI
EduAI - E learning Platform integrated with AIEduAI - E learning Platform integrated with AI
EduAI - E learning Platform integrated with AIkoyaldeepu123
 
VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...
VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...
VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...VICTOR MAESTRE RAMIREZ
 
Artificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptxArtificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptxbritheesh05
 
UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)
UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)
UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)Dr SOUNDIRARAJ N
 

Recently uploaded (20)

Introduction-To-Agricultural-Surveillance-Rover.pptx
Introduction-To-Agricultural-Surveillance-Rover.pptxIntroduction-To-Agricultural-Surveillance-Rover.pptx
Introduction-To-Agricultural-Surveillance-Rover.pptx
 
young call girls in Green Park🔝 9953056974 🔝 escort Service
young call girls in Green Park🔝 9953056974 🔝 escort Serviceyoung call girls in Green Park🔝 9953056974 🔝 escort Service
young call girls in Green Park🔝 9953056974 🔝 escort Service
 
Risk Assessment For Installation of Drainage Pipes.pdf
Risk Assessment For Installation of Drainage Pipes.pdfRisk Assessment For Installation of Drainage Pipes.pdf
Risk Assessment For Installation of Drainage Pipes.pdf
 
Exploring_Network_Security_with_JA3_by_Rakesh Seal.pptx
Exploring_Network_Security_with_JA3_by_Rakesh Seal.pptxExploring_Network_Security_with_JA3_by_Rakesh Seal.pptx
Exploring_Network_Security_with_JA3_by_Rakesh Seal.pptx
 
Past, Present and Future of Generative AI
Past, Present and Future of Generative AIPast, Present and Future of Generative AI
Past, Present and Future of Generative AI
 
complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...
 
What are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptxWhat are the advantages and disadvantages of membrane structures.pptx
What are the advantages and disadvantages of membrane structures.pptx
 
Churning of Butter, Factors affecting .
Churning of Butter, Factors affecting  .Churning of Butter, Factors affecting  .
Churning of Butter, Factors affecting .
 
INFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETE
INFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETEINFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETE
INFLUENCE OF NANOSILICA ON THE PROPERTIES OF CONCRETE
 
Electronically Controlled suspensions system .pdf
Electronically Controlled suspensions system .pdfElectronically Controlled suspensions system .pdf
Electronically Controlled suspensions system .pdf
 
pipeline in computer architecture design
pipeline in computer architecture  designpipeline in computer architecture  design
pipeline in computer architecture design
 
POWER SYSTEMS-1 Complete notes examples
POWER SYSTEMS-1 Complete notes  examplesPOWER SYSTEMS-1 Complete notes  examples
POWER SYSTEMS-1 Complete notes examples
 
Application of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptxApplication of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptx
 
CCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdf
CCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdfCCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdf
CCS355 Neural Networks & Deep Learning Unit 1 PDF notes with Question bank .pdf
 
GDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentationGDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentation
 
Design and analysis of solar grass cutter.pdf
Design and analysis of solar grass cutter.pdfDesign and analysis of solar grass cutter.pdf
Design and analysis of solar grass cutter.pdf
 
EduAI - E learning Platform integrated with AI
EduAI - E learning Platform integrated with AIEduAI - E learning Platform integrated with AI
EduAI - E learning Platform integrated with AI
 
VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...
VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...
VICTOR MAESTRE RAMIREZ - Planetary Defender on NASA's Double Asteroid Redirec...
 
Artificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptxArtificial-Intelligence-in-Electronics (K).pptx
Artificial-Intelligence-in-Electronics (K).pptx
 
UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)
UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)
UNIT III ANALOG ELECTRONICS (BASIC ELECTRONICS)
 

aditya-151207154017-lva1-app6892 (1).pdf

  • 1. By- AdityA ShArmA By- AdityA ShArmA
  • 2.  Principles on which compressors work:  A compressor is a mechanical device that increases the pressure of a gas by reducing its volume.(The fluid here is generally air since liquids are theoretically incompressible).  George Medhurst of England designed the first motorized air compressor in 1799 and used it in mining. 2 Introduction
  • 3.  CLASSIFICATION  There are mainly two types of Compressors-
  • 4.   In a reciprocating compressor, a volume of gas is drawn into a cylinder, it is trapped, and compressed by piston and then discharged into the discharge line. The cylinder valves control the flow of gas through the cylinder; these valves act as check valves.  Reciprocating compressors can be Single acting or double acting. Reciprocating Compressor
  • 5.   Single–Stage Reciprocating Compressor Compression is done in single stage or by single cylinder only and it is used for generation of low pressure air.  Double–stage Reciprocating Compressor It is a compressor that produces highly pressurised air and mostly it is used nowadays in heavy duty mechanical devices. Reciprocating Compressor Types
  • 6.   Different parts of Reciprocating compressor are listed below:  Suction valve.  Suction Chamber.  Piston & Piston Rod.  Cylinder.  Discharge valve.  Discharge Chamber. Reciprocating Compressor
  • 7.   For low speed compressors (upto 330 rpm) and medium speed compressors (330-600 rpm), pistons are usually made of CAST IRON.  Upto 7” diameter cast iron pistons are made of solids. Those of more than 7” diameters are usually hollow (to reduce cost).  Carbon pistons are sometimes used for compressing oxygen and other gases that must be kept free of lubricant. Piston
  • 8.   Generally, the piston rod is fastened to the piston by means of special nut that is prevented from unscrewing. The surface of the rod has suitable degree of finish designed to minimize wear on the sealing areas as much as possible. The piston is provided with grooves for piston rings and rider rings. PISTON ROD
  • 11. Piston Rings  Piston rings provide a seal that prevents or minimizes leakage through piston and liner. Metal piston rings are made either in one piece, with a gap or in several segments. Gaps in the rings allow them to move out or expand as the compressor reaches operating temperature. Rings of heavy piston are sometimes given bronze, Babbitt or Teflon expanders or riders. Lubrication is a must for metallic rings. Teflon rings with Teflon rider bands are sometimes used to support the piston when the gas do not permit use of a lubricant.
  • 12. Valves  There are two valves namely suction and delivery valve.  The valves are of automatic type. They open due to the effect of the differential pressure between cylinder and the suction or discharge chambers, and close due to the force of springs acting on the plates plus the differential pressure across the valves.
  • 13.  Principle of Operation  Fig shows single-acting piston actions in the cylinder of a reciprocating compressor.  The piston is driven by a crank shaft via a connecting rod.  At the top of the cylinder are a suction valve and a discharge valve.  A reciprocating compressor usually has two, three, four, or six cylinders in it. 13
  • 14. 14  As the piston travels toward the bottom dead center, the volume of the cylinder increases and due to the pressure difference the suction valve is opened.  The pressure inside the cylinder is slightly less than suction line pressure.So, the volume of the gas starts increasing as the piston moves towards BDC.  So, the piston continues its motion towards BDC till the area above piston in the cylinder become full of fluid(gas) & then the suction valve gets closed.
  • 15.  Now when the crankshaft moves further and complete its revolution the piston also moves in opposite direction this time towards TDC.  Now, again due to the Pressure difference between the delivery line and inside of the cylinder the delivery valves open in the delivery stroke.  So, at point 3,the piston reaches the top dead center TDC.  At top dead center, as the piston comes to a complete stop prior to reversing direction, the pressure across the valve is equal.  So, the discharge valve is closed.
  • 16. 16  At point 2, the pressure inside the cylinder has become slightly greater than discharge line pressure.  This causes the valve opening allowing the gas to flow out of the cylinder.  The volume continues to decrease toward point 3, maintaining a sufficient pressure difference across the discharge valve to hold it open.
  • 17. 17  Now Again, As the piston moves towards BDC, the gas pressure inside the cylinder becomes less than the suction line pressure, so the suction valve opens again.  The cycle then starts over again.  The shape of the re-expansion line (Line 3-4) is dependent on the same compression exponent that determines the shape of the compression line.
  • 18.  The states of the refrigerant in a reciprocating compressor can be expressed by four lines on a PV diagram as shown in Fig
  • 20.   They are used to generate High pressurised air.  They have one low pressure compressor and one high pressure compressor and in between them there is an INTERCOOLER.  Firstly, air goes into low pressure compressor and compressed. Then this compressed air goes to INTERCOOLER(heat exchanger) where its temperature is decreased by Rejection of heat at Constant Pressure. Multi Stage(Two Stage) Reciprocating Compressor Work Saved
  • 21.   Then the air is passed to the high pressure compressor to get further compressed.  Highly pressurized air is thus obtained from the delivery valve of high pressure compressor.
  • 22.   Reciprocating compressors are typically used where high compression ratios (ratio of discharge to suction pressures) are required per stage without high flow rates, and the process fluid is relatively dry.  P.E.T bottling industries, gas filling stations usually use reciprocating compressors. 22 Application of compressors
  • 23.   Processing equipment, Oxygen Generators Oil Atomization use compressors of required capacity. 23