Ground-source heat pump systems were a hot topic in HVAC discussions during 2009. All signs indicate that 2010 will be another banner year for this technology.

Hydronic heating pros should be familiar with what GSHP systems have to offer. Specifically, how can water-to-water ground-source heat pumps be integrated with modern hydronic heating? To that end, this and several future columns will be devoted to the subject. We’ll start by looking at the basic thermodynamics of a water-to-water GSHP. After that, we’ll discuss how this heat source is optimally matched with other state-of-the-art hydronic hardware.

## Endless Loop

All heat pumps move heat from a material at a lower temperature to a material at a higher temperature. The “source” from which lower-temperature heat is taken can be just about anything. Many heat pumps extract heat from outside air and are appropriately called “air-source” heat pumps. Ground-source heat pumps extract heat from ground water or a fluid circulated through tubing buried in the ground.Ground-source heat pumps operate using a standard vapor-compression refrigeration cycle. As the refrigerant moves around the cycle, it changes from vapor to liquid and vice versa in a continuous process. When liquid refrigerant evaporates, it absorbs heat from its surroundings. Conversely, when refrigerant vapor condenses back to a liquid, it releases heat to its surroundings.

Figure 1 shows the principle components in a water-to-water GSHP and gives the condition of the refrigerant at several locations within the system.

Liquid refrigerant enters the evaporator as a low-temperature, low-pressure liquid. It passes across the surface of copper tubing through which water or a mixture of water and antifreeze flows. Because the liquid refrigerant is several degrees colder than the water, it absorbs heat from it. The absorbed heat causes the cold refrigerant to vaporize.

The hot gas flows on to the condenser, where it passes across another copper coil carrying water from the hydronic distribution system. Because the refrigerant gas is warmer than the water, heat moves from the gas to the water. This causes the refrigerant to condense back to a liquid, but still remain at a relatively high pressure.

Finally, the liquid refrigerant flows from the condenser to the thermal expansion valve. As it flows through this valve, its pressure is reduced and its temperature immediately drops. The refrigerant is now back to the same condition it started from at the base of the evaporator. It’s ready to repeat this cycle as long as the compressor is running.

Although the specific components used in water-to-water heat pumps vary from one manufacturer to another, the goal is always the same: to move heat from the low-temperature “source” to the higher-temperature “load” using as little electrical energy as possible.

## Energy In Equals Energy Out

Ground-source water-to-water heat pumps live by the first law of thermodynamics. Simply stated, the total energy flowing into a heat pump always equals the total energy flowing out of that heat pump.Some energy comes in as low-temperature heat from the “source” (i.e., ground loop, ground water, etc). Energy also enters the heat pump in the form of electricity to run the compressor. These two energy input streams always add together to form the energy output stream, which is imparted to the stream of water flowing through the heat pump’s condenser.

Mathematically, this energy balance can be written as Formula 1.

**Formula 1**

Where:

Qout = rate of heat output from heat pump condenser (Btu/hr.)

Qsource = rate of heat absorption from low temperature source (Btu/hr.)

Qelectrical = rate of electrical energy input to operate heat pump (Btu/hr.)

You can visualize these energy streams as shown in Figure 2.

## How's It Running?

When dealing with boilers, we often discuss thermal efficiency. It’s the ratio of the heat output divided by the heating value of the fuel being consumed. The higher the efficiency the better, but no combustion-based boiler will ever meet or exceed 100 percent thermal efficiency.With heat pumps, the performance indicator is called coefficient of performance (or COP for short). COP is the ratio of the heat output rate from the heat pump divided by the electrical energy input rate to operate the heat pump. Mathematically, it’s just a ratio as given by Formula 2.

**Formula 2**

When both the top and bottom of the fraction have the same units, they cancel out to give a pure number. Since we usually measure electrical power in watts rather than Btu/hr., we can modify Formula 2 so that watts can be entered and then converted to Btu/hr. The result of this formula (Formula 3) is a pure number (e.g., it has no units).

**Formula 3**

Where:

Qout = rate of heat output from heat pump condenser (Btu/hr.)

W = watts of electrical power entering heat pump

The heat pump’s COP drops quickly as the temperature of the source water from which heat is extracted decreases. It also drops as the temperature at which the load operated increases. Thus, low-temperature heating loads such as heated floor slabs with low-resistance coverings, or no coverings, are a good match for water-to-water GSHP systems.

## Any Two Out Of Three

If any two of the three energy flows present in an operating heat pump are known, the third energy flow can be determined by simple addition or subtraction. For example, if you need to know the heat output of a ground-source heat pump, you could determine the rate of heat coming to the heat pump from the source water and add this to rate of electrical energy input to operate the unit. For a water-to-water heat pump, you could also measure the flow rate and temperature change of water as it passes through the condenser and directly calculate the rate of heat delivery using Formula 4.**Formula 4**

Where:

D = density of water passing through condenser (lb./ft.3)

c = specific heat of water passing though condenser (Btu/lb./degree F)

fL = flow rate of water passing through condenser (gpm)

TLout = temperature of water leaving condenser (degrees F)

TLin = temperature of water entering condenser (degrees F)

The formulas require the density and specific heat of the fluid flowing through the evaporator. These can be read from the graph in Figure 4. Use the average of the evaporator inlet and outlet temperature to estimate density. The specific heat of water and glycol-based solutions doesn’t vary much within the narrow temperature range at which it is used in these systems. Thus, it can be treated as a constant (c for water = 1 Btu/lb./degree F, and c for a 30 percent solution of propylene glycol is 0.92 Btu/lb./degree F).

If you have a wattmeter, just take the measurement. If you don’t have such an instrument, you can use a standard multimeter along with multiplication to get a good estimate of input wattage. Measure the voltage and current to the heat pump, then convert using Formula 5.

You can also use this measured data to calculate the COP of the heat pump as shown in Figure 5.

Getting accurate temperature measurements (within +/- 0.1 degree) is possible with modern profession instruments that use strap-on RTD, thermistor or thermocouple probes. Don’t rely on an infrared gun to “shoot” these temperatures. They just aren’t accurate enough for the narrow temperature range being measured.

Getting flow rates is usually more of a challenge than getting accurate temperatures. If the system happens to have an accurate flow meter installed in either the earth loop or hydronic distribution system, getting a flow reading is easy. Remember, you only need flow on one side of a water-to-water heat pump to use the formulas given above. Too bad most GSHP installers won’t spring for the cost of a flow meter.

An “indirect” way of estimating flow rate makes use of special fittings called “Pete’s Plugs.” These devices, shown in Figure 6, are commonly installed at the source flow connections on the evaporator. They allow a narrow temperature probe or pressure probe to be temporarily inserted through a neoprene gasket. When the probe is removed, the gasket is “self-healing.” The brass cap is screwed on to prevent any drips when probes are not inserted.

Once the pressure drop across the evaporator coil is known, the corresponding flow rate can be estimated from a graph supplied by the heat pump’s manufacturer. This method is simple and relatively inexpensive, but not as accurate as reading flow directly from a quality flow meter. Still, it’s an effective technique for field-estimated performance.

Here’s an example: A technician uses his instruments to take the temperature, differential pressure and electrical readings shown in Figure 7. He also references a manufacturer’s graph of the pressure drop across the evaporator coil as a function of flow rate. He looks up the density of the 30 percent propylene glycol solution used in the earth loop and finds it to be 64.5 lb./ft.3 at an average temperature of 41 degrees F. The specific heat of this solution is 0.92 Btu/lb./degree F. Use these readings and physical properties to determine:

- a. The heat output from the heat pump; and

b. The current COP of the heat pump.

Start by calculating the electrical wattage to the heat pump:

Next, estimate the flow rate through the evaporator using the pressure drop vs. flow rate curve provided by the manufacturer. For the graph in Figure 7, a pressure drop of 3.0 psi corresponds to a flow rate of 7.5 gpm.

At this point, we know all the numbers necessary to calculate both heat output and COP.

The heating output is:

The COP is:

## Do The Math:

These formulas and their associated data can turn the measured thermal and electrical operating characteristics of the heat pump into performance numbers. Those numbers can then be compared to the manufacturer’s published performance data to verify if the unit is operating reasonably close to its rated performance.Significant differences between measured performance and rated performance (under the same operation conditions) would indicate that additional diagnostics are in order. If you’re interested in applying these heat sources, you should know how to verify they are operating properly.