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Re: [EnergyPlus_Support] DX Cooling coil single speed



Dear Sir,
            I am using simple algorithm for inside wall and simple combined algorithm for outside wall. and I got the coeficient 
also. Now using this coeficient how to calculad surface load. What is u value that you have mentioned earlier.

With Regards,
--------------------------------------------
On Thu, 7/7/16, sandip gupta sandipgupta_nh@xxxxxxxxxxx [EnergyPlus_Support] <EnergyPlus_Support@xxxxxxxxxxxxxxx> wrote:

 Subject: Re: [EnergyPlus_Support] DX Cooling coil single speed
 To: EnergyPlus_Support@xxxxxxxxxxxxxxx
 Date: Thursday, 7 July, 2016, 11:15 AM
 
 
  
 
 
 
   
 
 
     
       
       
       Dear Sir,
 
        The coefficient that r  required I am going to use
 from e+ as it is constant for a particular building
 construction I guess.
 
 U only tell me the formula that relates the coefficent with
 Temperature for surface load.
 
 
 
 Regards.
 
 --------------------------------------------
 
 On Thu, 7/7/16, Jean Marais jeannieboef@xxxxxxxxx
 [EnergyPlus_Support]
 <EnergyPlus_Support@xxxxxxxxxxxxxxx> wrote:
 
 
 
 Subject: Re: [EnergyPlus_Support] DX Cooling coil single
 speed
 
  To: EnergyPlus_Support@xxxxxxxxxxxxxxx
 
  Date: Thursday, 7 July, 2016, 10:27 AM
 
  
 
  
 
   
 
  
 
  
 
  
 
    
 
  
 
  
 
      
 
        
 
        
 
        Like I said, it depends what
 
  algorithm you have selected for calculating the
 convection
 
  coefficients (both the outside and inside).
 
  Search the documents for TARP to find one. How
 
  all the others are called, you will find in a table
 listing
 
  them all.
 
  On 6 Jul 2016 18:57,
 
  "sandip gupta sandipgupta_nh@xxxxxxxxxxx
 
  [EnergyPlus_Support]"
 <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  wrote:
 
  
 
  
 
  
 
  
 
  
 
  
 
  
 
  
 
  
 
  
 
  
 
  
 
  
 
   
 
  
 
   
 
  
 
  
 
  
 
    
 
  
 
  
 
      
 
        
 
        
 
        Dear sir,
 
  
 
                I feel that I am taped into this subject 
 
  
 
  Surface Inside Face Convection Heat Transfer Coefficient
 is
 
  it the property of the surface or does it changes with
 
  temperature set point change. 
 
  
 
  I will tell you my main objective 
 
  
 
  I want to get maximum number of variables from from e+
 to
 
  matlab so that my calculation burden is reduced but I
 want
 
  to know the relation which will guide me 
 
  
 
  to find the change in Zone Air Heat Balance Surface
 
  Convection Rate for a given outdoor temperature and set
 
  point temperature.
 
  
 
  In every time step i am taking the feedback of the
 variables
 
  from e+ to matlab that I csan do easily I know how to do
 it.
 
  
 
  
 
  But tell me how the relation is obtained for every time
 step
 
  i will do the calculation.
 
  
 
  
 
  
 
  Regards,
 
  
 
  
 
  
 
  --------------------------------------------
 
  
 
  On Wed, 6/7/16, Jean Marais jeannieboef@xxxxxxxxx
 
  [EnergyPlus_Support]
 <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  wrote:
 
  
 
  
 
  
 
  Subject: Re: [EnergyPlus_Support] DX Cooling coil single
 
  speed
 
  
 
   To: EnergyPlus_Support@xxxxxxxxxxxxxxx
 
  
 
   Date: Wednesday, 6 July, 2016, 9:35 PM
 
  
 
   
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
   
 
  
 
       
 
  
 
         
 
  
 
         
 
  
 
         Convection heat transfer is equal
 
  
 
   to the heat transfer across the surface and can be
 
  easily
 
  
 
   calculated using the u-value of the surface including
 
  film
 
  
 
   resistances in W/(m2*K).
 
  
 
   The problem is that the film resistances change
 
  
 
   at each time step due to changing convection
 
  coefficients.
 
  
 
   Depending on what algorithm you chose to use (TARP,
 DOE,
 
  
 
   etc.) these are calculated for each surface using
 
  parameters
 
  
 
   such as orientation, local air velocity assumptions,
 
  volume
 
  
 
   aspect ratios, etc. 
 
  
 
   Also, the energy transfer can use a conduction
 
  
 
   FiniteDifference (condFD) method or CTF (default)
 method
 
  to
 
  
 
   take capacitive effects into account.
 
  
 
   Additionally, other equipment may be defined
 
  
 
   that either transfer energy directly to the air node
 via
 
  
 
   convection or to all the surfaces first which in turn
 
  
 
   changes their surface temperatures and heat transfer
 
  across
 
  
 
   them.
 
  
 
   Again, there are several things going on that
 
  
 
   converge on a solution. This is exactly why we use
 
  
 
   EnergyPlus. Don't calculate this with Matlab,
 
  instead
 
  
 
   feed the results of the heat transfers from e+ to
 Matlab
 
  if
 
  
 
   you require them.
 
  
 
   
 
  
 
   
 
  
 
   On 6 Jul 2016 3:27 pm,
 
  
 
   "sandip gupta sandipgupta_nh@xxxxxxxxxxx
 
  
 
   [EnergyPlus_Support]"
 <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  
 
   wrote:
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
   
 
  
 
       
 
  
 
         
 
  
 
         
 
  
 
         Dear sir,
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   Actually I am desigining a controller in matlab and
 
  through
 
  
 
   BCVTB I am sending the set point to E+. Now Most of the
 
  
 
   variables I am using from reporting variable. The only
 
  
 
   problem I am now facing is with calculation of  
 
  
 
   
 
  
 
     ZSF1:Zone Air Heat Balance Surface Convection Rate
 
  [W]
 
  
 
   and  Air Heat Balance Outdoor Air Transfer Rate [W]. 
 
  
 
   
 
  
 
   Can u help me with the related formulas used to
 
  calculate
 
  
 
   the above values. So that I can develop a suitable
 
  logic.
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   Regards,
 
  
 
   
 
  
 
   --------------------------------------------
 
  
 
   
 
  
 
   On Wed, 6/7/16, Jim Dirkes
 jim@xxxxxxxxxxxxxxxxxxxxxxxxxxx
 
  
 
   [EnergyPlus_Support]
 <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  
 
   wrote:
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   Subject: Re: [EnergyPlus_Support] DX Cooling coil
 single
 
  
 
   speed
 
  
 
   
 
  
 
    To: "EnergyPlus_Support@xxxxxxxxxxxxxxx"
 
  
 
   <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  
 
   
 
  
 
    Date: Wednesday, 6 July, 2016, 6:09 PM
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
      
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
        
 
  
 
   
 
  
 
          
 
  
 
   
 
  
 
          
 
  
 
   
 
  
 
          Sandip,Have you
 
  
 
   
 
  
 
    reported Output:Variables such
 
  as:Output:Variable,*,Cooling
 
  
 
   Coil
 
  
 
   
 
  
 
    Electric Power,hourly; !- HVAC Average
 
  
 
   [W]Output:Variable,*,Cooling Coil Sensible Cooling
 
  
 
   
 
  
 
    Rate,hourly; !- HVAC Average [W]
 
  
 
   
 
  
 
    Another consideration is
 
  
 
   
 
  
 
    to create Meter:Custom for specific
 
  
 
   
 
  
 
    variables.
 
  
 
   
 
  
 
    These may make your
 
  
 
   
 
  
 
    evaluation simpler than using manual
 
  
 
   
 
  
 
    calculations. 
 
  
 
   
 
  
 
    On Tue, Jul 5, 2016 at 4:32
 
  
 
   
 
  
 
    PM, sandip gupta sandipgupta_nh@xxxxxxxxxxx
 
  
 
   
 
  
 
    [EnergyPlus_Support]
 <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  
 
   
 
  
 
    wrote:
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
      
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
        
 
  
 
   
 
  
 
          
 
  
 
   
 
  
 
          
 
  
 
   
 
  
 
          Dear Sir,
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Thank you for your kind reply.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    My main aim is to find the relation between Power
 
  
 
   
 
  
 
    consumption by HVAC system for a given desired room
 
  
 
   
 
  
 
    temperature and outdoor room temperature.I have
 already
 
  
 
   used
 
  
 
   
 
  
 
    the performance curve to get the power consumption
 
  using
 
  
 
   
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Q.total=Q.total.rated*EIR*RTF
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Where RTF=PLR/PLF
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    and PLR=actual sensible cooling load /steady state
 
  
 
   sensible
 
  
 
   
 
  
 
    cooling rate
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    What is the formula to calculate actual sensible
 
  cooling
 
  
 
   
 
  
 
    load and steady state sensible cooling rate where can
 I
 
  
 
   find
 
  
 
   
 
  
 
    this values is reporting XLS sheet.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    How actual sensible cooling load and steady state
 
  
 
   sensible
 
  
 
   
 
  
 
    cooling rate are related to Desired Set Point
 
  
 
   Temperature
 
  
 
   
 
  
 
    and and Outdoor temperature.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    With Regards,
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Sandip Gupta
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
      
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    --------------------------------------------
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    On Wed, 6/7/16, Jean Marais jeannieboef@xxxxxxxxx
 
  
 
   
 
  
 
    [EnergyPlus_Support]
 <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  
 
   
 
  
 
    wrote:
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Subject: Re: [EnergyPlus_Support] DX Cooling coil
 
  single
 
  
 
   
 
  
 
    speed
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     To: EnergyPlus_Support@xxxxxxxxxxxxxxx
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   Date: Wednesday, 6 July, 2016, 1:06 AM
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
       
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
         
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
           
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
           
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
           Dear Sandip,
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     DX equipment models mostly use a set of 4
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     curves that are generated using regression analysis
 
  
 
   from
 
  
 
   
 
  
 
    a
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     matrix of performance data provided by the
 
  
 
   manufacturer.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     This matrix describes how the equipment performs
 under
 
  
 
   a
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   wide variety of different operating conditions. The
 
  
 
   
 
  
 
    curves
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     are each in their own right normalized around a set
 of
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     "rating point" values. 
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     There are two tools available that I have seen
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     to help you setup (and possibly understand better)
 the
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     performance curves in conjunction with appropriate
 
  
 
   
 
  
 
    rating
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     point values (they go hand in hand). One is a
 
  
 
   
 
  
 
    spreadsheet
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     tool that comes with e+ and can usually be found in
 
  
 
   your
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   launch bar. The other is from DesignBuilder. I use my
 
  
 
   
 
  
 
    own,
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     but only I understand how it works.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Be forewarned that this topic is probably the
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     most advanced that the non-source-code writing
 
  
 
   
 
  
 
    simulation
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     community can come up against. If you are a beginner
 
  e+
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     user, my advice would be NOT to start with the most
 
  
 
   
 
  
 
    complex
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     issues first. If you have gained a basic
 understanding
 
  
 
   
 
  
 
    about
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     part-load (part of "rated full load")
 
  
 
   
 
  
 
    performance
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     together with the other factors influencing HVAC
 
  
 
   
 
  
 
    performance
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     (like the humidity in the air and the temperatures of
 
  
 
   
 
  
 
    both
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     air and cooling medium, as well as bypass factor)
 that
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     should be enough for now.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     The equation you wrote is one of several that
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     are solved simultaneously using algorithms that
 
  
 
   converge
 
  
 
   
 
  
 
    on
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     a solution. I'm sorry there is no easy answer.
 The
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     interdependencies are simply too complex to solve by
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     hand.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Perhaps you state what you wish your model
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     should demonstrate. Then state what you have done and
 
  
 
   
 
  
 
    what
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     you observed, followed by what you cannot interperate
 
  
 
   or
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     generate for results.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Kindly yours,
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     On 5 Jul 2016 2:15 pm,
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     "sandip gupta sandipgupta_nh@xxxxxxxxxxx
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     [EnergyPlus_Support]"
 <EnergyPlus_Support@xxxxxxxxxxxxxxx>
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     wrote:
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
      
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
       
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
         
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
           
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
           
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
           Dear sir,'
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
                  While calculating the power consumption
 
  of
 
  
 
   a
 
  
 
   
 
  
 
    DX
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Cooling Coil Single Speed.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Step 1: Total Cooling Capacity as a function of
 
  
 
   
 
  
 
    temperature
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     is calculated. Here from where does the Wet Bulb
 
  
 
   
 
  
 
    temperature
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     comes from is it the sensor value.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Step 2: Total Cooling Capacity as a function of flow
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     fraction  is calculated.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Step 3: Qtotal = Qtotal,rated * (TotCapTempModFac) *
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     (TotCapFFModFac) is calculated but from where do we
 
  get
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Qtotal,rated. Pls help.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     EnergyPlus� Version 8.5 Documentation Engineering

 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Reference Page Number 785 calculations.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Please help me out how to calculate the power
 
  
 
   consumption
 
  
 
   
 
  
 
    of
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   HVAC system for different set point temperature. Does
 
  
 
   
 
  
 
    the
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     above calculations satisfy my requirements.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     I would be very very thankful to you if you kindly
 
  
 
   solve
 
  
 
   
 
  
 
    my
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     doubts and problems.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     With Warm Regards,
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     Sandip Gupta.
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
         
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
          
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
         
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
         
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
     
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
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    -- 
 
  
 
   
 
  
 
    James V Dirkes II, PE,
 
  
 
   
 
  
 
    BEMP, LEED AP
 
  
 
   
 
  
 
    CEO/President
 
  
 
   
 
  
 
    The Building Performance Team Inc.
 
  
 
   
 
  
 
    1631 Acacia Dr, GR, Mi 49504
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Direct: 616.450.8653
 
  
 
   
 
  
 
    jim@xxxxxxxxxxxxxxxxxxxxxxxxxxx
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Website l  LinkedIn |
 
  
 
   
 
  
 
    May
 
  
 
   
 
  
 
   
 
  
 
   
 
  
 
   2016 ASHRAE Journal article on energy modeling
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    Either I win � or I learn. 

 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
        
 
  
 
   
 
  
 
         
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
        
 
  
 
   
 
  
 
        
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
    
 
  
 
   
 
  
 
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------------------------------------
Posted by: sandip gupta <sandipgupta_nh@xxxxxxxxxxx>
------------------------------------

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