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Demystifying Transformers: Baluns and Ununs

Introduction

Baluns and ununs are essential in RF signal chains for many applications. RF balun designs are most commonly associated with core-and-wire transformers, but can also be realized through coaxial and coupled stripline technologies. The behavior of baluns and ununs was introduced in Part 1 of this series, where we established that both these devices are designed for impedance matching purposes. The major difference between them is that baluns are designed to match impedances between balanced and unbalanced circuits, whereas ununs provide impedance matching between two unbalanced circuits.

Part 1 of our Demystifying RF Transformers series discusses the basic theory and applications of RF transformers. This article aims to provide a deeper investigation into baluns and ununs with the main focus on baluns due to their greater prevalence in real-world applications.

Common Balun Applications

The most common use for baluns is when a single-ended power amplifier is used to drive a balanced load. Examples include dipole antennas or single-ended antennas such as whips, which are needed to feed an additional front-end amplifier (see figure 1). In the past, baluns were also widely used in the CATV industry, for example when matching between a 300Ω dipole antenna for broadcast TV with a 75Ω coaxial cable. With the development of RF Integrated Circuits (RFICs), baluns are now also widely used to improve noise immunity and common mode rejection. The growth in 5G applications has also led to tremendous demand for small, wideband baluns to interface with highly integrated radio transceivers using differential inputs and outputs.

Ununs are often used if an unbalanced feedline is driving an unbalanced antenna, and there is an impedance mismatch between the feedline and the antenna. A whip antenna with a low input impedance would benefit from an impedance transforming unun to efficiently couple a 50Ω feedline with the antenna.

Demystifying Transformers: Baluns and Ununs
Figure 1: Unbalanced to balanced circuit conversion (left) and balanced to unbalanced conversion (right).

Introduction to Balun Theory and Balanced and Unbalanced Systems

Before tackling balun theory, it is important to understand the differences between balanced and unbalanced two-terminal sources and loads. In a balanced circuit, signals travel along two paths, each with equal impedance to ground. The impedance of a balanced system is defined by the impedance between the two paths, whereas in an unbalanced system, one terminal is connected to ground.

Figure 2 illustrates the difference between signal response in a balanced and unbalanced circuit. The unbalanced circuit shows the voltage established between a single line and ground. The amount of current flowing between ground and the source is equal to the current in the circuit. The balanced circuit shows a differential signal flowing where the voltage is the potential difference between the two lines. In this case, the current flowing to ground on one line is equal to the current flowing from ground on the other line.

Demystifying Transformers: Baluns and Ununs
Figure 2: Unbalanced circuit (left) and balanced circuit (right).

Common Two-Terminal Systems:

  • RF Feedlines
    • Coaxial cables (75Ω or 50Ω) unbalanced
    • High-speed data lines (100Ω or 120Ω)
    • Ladder lines (450Ω)
    • Open wire lines (600Ω)
  • Loads
    • Receivers
    • Antennas during transmission
    • Meter or test instrument with a receiver
  • Signal Sources
    • Antennas during reception
    • Transmitters
    • Signal generators
    • Meters or test instruments with a generator

Understanding the difference between common mode signals and differential signals is crucial for understanding the importance of baluns. In a balanced circuit, common mode signals are those that are equal in magnitude and polarity between the two lines. Differential signals, on the other hand, are equal in magnitude, but opposite in polarity. In general, differential signals are much more robust. This is due to the fact that differential signaling has inherent noise immunity. In a typical system, external noise is equally present on both lines of a balanced configuration and appear as a common mode signal. A differential signal is represented by the difference in voltage between the two lines. Since the common mode signal is equal on both lines, it is cancelled out.

Balun Modes & Technologies

There are two main modes of baluns: current baluns and voltage baluns (see Figure 3). Current baluns operate by forcing equal currents on both balanced lines, effectively eliminating common-mode currents. Voltage baluns force equal voltage on each balanced line; this is ultimately a better fit for impedance matching applications.

Like most transformers, baluns can be fabricated using core-and-wire transmission lines (e.g. coax), Low Temperature Co-fired Ceramic (LTCC), and Monolithic Microwave Integrated Circuit (MMIC) technologies. There are two main versions of core-and-wire baluns: isolation transformers and autotransformers, both of which are voltage baluns (Figure 4). Above a few gigahertz, it is often necessary to use transmission line baluns to achieve desirable performance. One of the best-performing varieties of transmission line balun is the Marchand balun (Figure 5). Many of Mini-Circuits’ LTCC and MMIC baluns use the Marchand balun topology.

Demystifying Transformers: Baluns and Ununs
Figure 3: Voltage balun (left) and current balun (right).

 

Core-and-Wire Baluns (Isolation & Autotransformer Baluns)

Isolation balun transformers are RF transformers with the unbalanced side tied to ground and the balanced side connected to the load. Similarly to standard RF transformers, the ratio of windings can also be used to create an impedance transformation. Figure 4 illustrates an autotransformer balun with  balanced inputs at either end of the winding, a center tap to ground, and one end of the winding creating the unbalanced port. One major benefit of this type of transformer is that the input and output are electrically separated, allowing a degree of protection for systems that are prone to ground loops in their ground-level voltages.

Autotransformers have a different configuration from that of typical RF transformers, since this topology has only a single conductive path. Autotransformer baluns can be fabricated by winding a single wire around a ferrite core, or by cross-wiring the primary and secondary windings. A tap point between the two ends of the winding is used to access different voltage potentials respective to the transformer input voltage. This configuration incorporates a DC current path to ground for each terminal, dissipating any static build-up.

Demystifying Transformers: Baluns and Ununs
Figure 4: Diagram of an autotransformer balun.
Demystifying Transformers: Baluns and Ununs
Figure 5: Diagram of a Marchand balun.

 

Transmission Line Baluns and Ununs

Transmission line balun transformers are typically constructed of a transmission line such as a coaxial cable wrapped around a ferrite core, and in some cases merely air. This 1:1 type of balun transformer creates a high choking reactance on the outer conductor of the coaxial cable, effectively reducing common-mode signals while allowing the internal currents of the coaxial transmission line to pass unimpeded (i.e. a Guanella Balun). Additionally, configurations include a bifilar capacitively coupled balun using two wires wrapped around each other as well as capacitively and magnetically coupled transmission lines wrapped around each other and then wrapped around a common core. The purpose of using a magnetic core with broadband transmission line couplers is to enable low frequency operation.

Broadband balun transformers are also constructed with various impedance transformations using several transmission lines in series and parallel arrangements. In this case, the impedance transformation is 1:n2, where n is the number of series-parallel transmission lines. Quarter-wave and half-wave transmission line balun transformers are also possible, although these types of baluns are best suited to applications with a narrow operating frequency range.

LTCC and MMIC Baluns

Balun production can also involve the use of planar metal structures with technologies such as LTCC and MMIC. This choice of design and fabrication is often proprietary. Generally, the main benefit of these designs is the small footprint that can be readily integrated into a microwave assembly. Unlike other baluns, LTCC- and MMIC-based baluns are produced using high-precision assembly machines and seminconductor manfacturing methods that yield much higher repeatability.

Key Balun Performance Parameters

Baluns share most of the same performance parameters as RF transformers, but the unique construction and use of baluns introduces additional considerations. These parameters include:

  1. Phase balance
  2. Amplitude balance
  3. Common-mode rejection ratio
  4. Balanced port isolation
  5. DC/ground isolation
  6. Group delay flatness

Phase & Amplitude Balance

Phase and amplitude balance (or unbalance) are a measure of how equal and opposite a balun’s balanced output voltage and current are. In essence, any unbalance in a balanced line’s voltage/current phase or amplitude yields additional losses and stray currents. Phase balance measures how closely the phase difference between the inverted input and non-inverted input are to an ideal 180° out of phase. The amplitude balance is the absolute value of the output power on each balanced line. For these parameters, each balanced line should be as close to equal as possible. The determining factors for phase and amplitude balance in real baluns include material properties, fabrication methods, and match between the output lines. Modern high-performance baluns are generally specified for no more than a few degrees of phase unbalance and a few dB of amplitude unbalance.

Common-Mode Rejection Ratio

The Common-Mode Rejection Ratio (CMRR) is a measure of how well common-mode signals are attenuated from the balanced port to the unbalanced port. This ratio is dependent on amplitude and phase unbalance. A balun with better amplitude and phase balance will also exhibit enhanced CMRR. A generally accepted guideline is that a 0.1 dB improvement in amplitude balance, or a 1 degree improvement in phase balance, will enhance the CMRR of a balun by roughly 1 dB.

Balanced Port Isolation & DC/Ground Isolation

Balanced port isolation is a measure of the ratio of input signal strength to output signal strength from one balanced port to another (insertion loss). More often than not, this parameter is not very high in most balun designs. DC isolation is a measure of the DC conductivity between the unbalanced port and balanced ports while ground isolation is a measure of the isolation between the unbalanced port ground and the ground (or pseudo ground) of the balanced ports. These isolation figures are important to determine a device’s immunity to noise and interference. The isolation potential of a balun is often limited by the balun topology.

Group Delay Flatness

Group delay is the time it takes for the frequency components of a signal to pass through a device. The flatness of the group delay is a way to gauge the amount of distortion the broadband or high-speed signals will encounter passing through a device. It is generally desirable for every frequency component of a signal to pass simultaneously. In the case of a balun, good broadband matching is related to good group delay performance. Baluns with better return loss will typically demonstrate better group delay flatness.

Important Balun & Unun Applications

Baluns were originally used to provide impedance matching and to present balanced outputs to balanced antennas fed by unbalanced transmission lines. With the advent of solid state electronics, the outputs and inputs of many solid state devices (e.g. amplifiers, mixers, DACs/ADCs) present unbalanced ports. Though unbalanced outputs can readily be connected to common transmission lines such as coaxial cables, differential signaling lines are generally less susceptible to noise and crosstalk. Many of these lines are also less expensive than coaxial cables for long distance transmission.

For example, balancing push-pull amplifiers and mixers enables designs with reduced spurious content and enhanced CMRR, i.e. double-balanced mixers (see Figures 6 and 7). Note that the center taps on the baluns in Figure 7 are used for biasing the balanced amplifier. Another common application is the balancing and impedance matching of wideband converters to unbalanced sources, which generally exhibit port impedances that are very different from those of converter ports (see Figure 8).

Demystifying Transformers: Baluns and Ununs
Figure 6: Double-balanced mixer using baluns on the input and output.
Demystifying Transformers: Baluns and Ununs
Figure 7: Balanced amplifier with baluns on the input and output.
Demystifying Transformers: Baluns and Ununs
Figure 8: an ADC with differential input transformed into single-ended output.

 

Conclusion

Baluns have become highly useful devices that address many challenges of RF/microwave systems, transitioning unbalanced circuits (single-ended or ground referenced) to balanced circuits (full differential). Baluns also provide impedance matching between these circuits and enhance the CMRR of interconnect and devices. Baluns can be fabricated using a variety of technologies, including core-and-wire transformers, transmission line transformers, and even low-profile, small-footprint LTCC and MMIC technologies.

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References

  1. Understanding, Building, and Using Baluns and Ununs, CQ Communications, 2003 by Jerry Sevick W2FMI
  2. More on the 1:1 Balun, Jerry Sevick
  3. https://www.minicircuits.com/app/AN20-001.pdf
  4. https://www.minicircuits.com/app/AN20-002.pdf
  5. https://www.minicircuits.com/appdoc/TRAN14-2.html
  6. RF and Microwave Transformer Fundamentals featured in Microwave Products Digest 10-2009

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