90.424—Dilute sampling procedures—CVS calibration.

(a) The CVS is calibrated using an accurate flowmeter and restrictor valve.

(1) The flowmeter calibration must be traceable to the National Institute for Standards and Testing (NIST) and serves as the reference value (NIST “true” value) for the CVS calibration. (Note: In no case should an upstream screen or other restriction which can affect the flow be used ahead of the flowmeter unless calibrated throughout the flow range with such a device.)

(2) The CVS calibration procedures are designed for use of a “metering venturi” type flowmeter. Large radius or American Society of Mechanical Engineers (ASME) flow nozzles are considered equivalent if traceable to NIST measurements. Other measurement systems may be used if shown to be equivalent under the test conditions in this section and traceable to NIST measurements.

(3) Measurements of the various flowmeter parameters are recorded and related to flow through the CVS.

(4) Procedures using both PDP-CVS and CFV-CVS are outlined in the following paragraphs. Other procedures yielding equivalent results may be used if approved in advance by the Administrator.

(b) After the calibration curve has been obtained, verification of the entire system may be performed by injecting a known mass of gas into the system and comparing the mass indicated by the system to the true mass injected. An indicated error does not necessarily mean that the calibration is wrong, since other factors can influence the accuracy of the system (for example, analyzer calibration, leaks, or HC hangup). A verification procedure is found in paragraph (e) of this section.

(c) PDP-CVS calibration. (1) The following calibration procedure outlines the equipment, the test configuration, and the various parameters which must be measured to establish the flow rate of the CVS pump.

(i) All the parameters related to the pump are simultaneously measured with the parameters related to a flowmeter which is connected in series with the pump.

(ii) The calculated flow rate, in cm 3 /s, (at pump inlet absolute pressure and temperature) can then be plotted versus a correlation function which is the value of a specific combination of pump parameters.

(iii) The linear equation which relates the pump flow and the correlation function is then determined.

(iv) In the event that a CVS has a multiple speed drive, a calibration for each range used must be performed.

(2) This calibration procedure is based on the measurement of the absolute values of the pump and flowmeter parameters that relate the flow rate at each point. Two conditions must be maintained to assure the accuracy and integrity of the calibration curve:

(i) The temperature stability must be maintained during calibration. (Flowmeters are sensitive to inlet temperature oscillations; this can cause the data points to be scattered. Gradual changes in temperature are acceptable as long as they occur over a period of several minutes.)

(ii) All connections and ducting between the flowmeter and the CVS pump must be absolutely void of leakage.

(3) During an exhaust emission test the measurement of these same pump parameters enables the user to calculate the flow rate from the calibration equation.

(4) Connect a system as shown in Figure 5 in Appendix B of this subpart. Although particular types of equipment are shown, other configurations that yield equivalent results may be used if approved in advance by the Administrator. For the system indicated, the following measurements and accuracies are required:

Calibration Data Measurements

Parameter	Symbol	Units	Sensor-readout tolerances
Barometric pressure (corrected)	PB	kPa	±.340 kPa.
Ambient temperature	TA	°C	±.28 °C.
Air temperature into metering venturi	ETI	°C	±1.11 °C.
Pressure drop between the inlet and throat of metering venturi	EDP	kPa	±0.012 kPa.
Air flow	QS	m3/min.	±0.5 percent of NIST value.
Air temperature at CVS pump inlet	PTI	°C	±1.11 °C.
Pressure depression at CVS pump inlet	PPI	kPa	±0.055 kPa.
Pressure head at CVS pump outlet	PPO	kPa	±0.055 kPa.
Air temperature at CVS pump outlet (optional)	PTO	°C	±1.11 °C.
Pump revolutions during test period	N	Revs	±1 Rev.
Elapsed time for test period	t	s	±0.5 s.

(5) After the system has been connected as shown in Figure 5 in Appendix B of this subpart, set the variable restrictor in the wide open position and run the CVS pump for 20 minutes. Record the calibration data.

(6) Reset the restrictor valve to a more restricted condition in an increment of pump inlet depression that will yield a minimum of six data points for the total calibration. Allow the system to stabilize for three minutes and repeat the data acquisition.

(7) Data analysis:

(i) The air flow rate, Qs, at each test point is calculated in standard cubic feet per minute 20 °C, 101.3 kPa from the flowmeter data using the manufacturer's prescribed method.

(ii) The air flow rate is then converted to pump flow, Vo, in cubic meter per revolution at absolute pump inlet temperature and pressure:

Where:

Vo = Pump flow, m3/rev at Tp, Pp.

Qs = Meter air flow rate in standard cubic meters per minute, standard conditions are 20 °C, 101.3 kPa.

n = Pump speed in revolutions per minute.

Tp = Absolute pump inlet temperature in Kelvin, =PTI 273 [°K]

Pp = Absolute pump inlet pressure, kPa. = PB−PPI

Where:

PB = barometric pressure, kPa

PPI = Pump inlet depression, kPa.

(iii) The correlation function at each test point is then calculated from the calibration data:

Where:

Xo = correlation function.

Δp = The pressure differential from pump inlet to pump outlet [kPa]

Δp = Pe−Pp.

Where:

Pe = Absolute pump outlet pressure [kPa], Pe = PB PPI

(iv) A linear least squares fit is performed to generate the calibration equation which has the form:

Where:

Do and M are the intercept and slope constants, respectively, describing the regression line.

(8) A CVS system that has multiple speeds should be calibrated on each speed used. The calibration curves generated for the ranges will be approximately parallel and the intercept values, Do, will increase as the pump flow range decreases.

(9) If the calibration has been performed carefully, the calculated values from the equation will be within ±0.50 percent of the measured value of Vo. Values of M will vary from one pump to another, but values of Do for pumps of the same make, model, and range should agree within ±three percent of each other. Calibrations should be performed at pump start-up and after major maintenance to assure the stability of the pump slip rate. Analysis of mass injection data will also reflect pump slip stability.

(d) CFV-CVS calibration. (1) Calibration of the CFV is based upon the flow equation for a critical venturi. Gas flow is a function of inlet pressure and temperature:

Where:

Qs = flow rate [m3/min.]

Kv = calibration coefficient

P = absolute pressure [kPa]

T = absolute temperature [°K]

The calibration procedure described in paragraph (d)(3) of this section establishes the value of the calibration coefficient at measured values of pressure, temperature, and air flow.

(2) The manufacturer's recommended procedure must be followed for calibrating electronic portions of the CFV.

(3) Measurements necessary for flow calibration are as follows:

Calibration Data Measurements

Parameter	Symbol	Units	Tolerances
Barometric Pressure (corrected)	P B	kPa	±.34 kPa
Air temperature, into flowmeter	ETI	°C	±.28 °C
Pressure drop between the inlet and throat of metering venturi	EDP	in. H2 O	±.05 in H2 O
Air flow	Q S	m3/min	±.5 percent of NIST value
CFV inlet depression	PPI	(kPa)	±.055 kPa
Temperature at venturi inlet	T V	°C	±2.22 °C

(4) Set up equipment as shown in Figure 6 in Appendix B of this subpart and eliminate leaks. (Leaks between the flow measuring devices and the critical flow venturi will seriously affect the accuracy of the calibration.)

(5) Set the variable flow restrictor to the open position, start the blower, and allow the system to stabilize. Record data from all instruments.

(6) Vary the flow restrictor and make at least eight readings across the critical flow range of the venturi.

(7) Data analysis. The data recorded during the calibration are to be used in the following calculations:

(i) Calculate the air flow rate (designated as Qs) at each test point in standard cubic feet per minute from the flow meter data using the manufacturer's prescribed method.

(ii) Calculate values of the calibration coefficient for each test point:

Where:

Qs = Flow rate in standard cubic meters per minute, at the standard conditions of 20 °C, 101.3 kPa.

Tv = Temperature at venturi inlet, °K.

Pv = Pressure at venturi inlet, kPa = PB − PPI

Where:

PPI = Venturi inlet pressure depression, kPa.

(iii) Plot K v as a function of venturi inlet pressure. For choked flow, K v will have a relatively constant value. As pressure decreases (vacuum increases), the venturi becomes unchoked and K v decreases. (See Figure 7 in Appendix B to Subpart D.)

(iv) For a minimum of eight points in the critical region, calculate an average K v and the standard deviation.

(v) If the standard deviation exceeds 0.3 percent of the average K v , take corrective action.

(e) CVS system verification. The following “gravimetric” technique may be used to verify that the CVS and analytical instruments can accurately measure a mass of gas that has been injected into the system. (Verification can also be accomplished by constant flow metering using critical flow orifice devices.)

(1) Obtain a small cylinder that has been charged with 99.5 percent or greater propane or carbon monoxide gas (CAUTION—carbon monoxide is poisonous).

(2) Determine a reference cylinder weight to the nearest 0.01 grams.

(3) Operate the CVS in the normal manner and release a quantity of pure propane into the system during the sampling period (approximately five minutes).

(4) The calculations are performed in the normal way except in the case of propane. The density of propane (0.6109 kg/m 3 /carbon atom) is used in place of the density of exhaust hydrocarbons.

(5) The gravimetric mass is subtracted from the CVS measured mass and then divided by the gravimetric mass to determine the percent accuracy of the system.

(6) Good engineering practice requires that the cause for any discrepancy greater than ±two percent must be found and corrected.

CFR

90.424—Dilute sampling procedures—CVS calibration.