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Optimizing Control and Modulation Methods for DC-DC Converters

  • Contents

Overview: This article presents a review of control and modulation methods for DC-DC power converters. The focus is on high-performance power converters, but the methods are applicable to any DC-DC power converter.

 

Pulse-width modulation (PWM) and small-signal-based feedback controls forms the basis of many commercial controller executions for DC-DC converters. Alternatively, many large-signal approaches are available. This article aims to provide a review of control and modulation methods, as well as methods for controller tuning, for DC-DC switching power converters.

Do conventional control methods maximize efficiency?

New, higher-level controls are inspired by the development of fast wide-bandgap switches in addition to the ongoing progress in digital signal processing and sensors. Fast processors and digital signal processing make new computational techniques for power converter control possible. Traditional methods of control almost never maximize available performance. The focus here is on high-performance converters, a rapidly expanding industry.

Role of Converter Topology

The converter topology serves as a constraint in the control process. In theory, with the right constraints, a single control method can be applied to a wide variety of circuits. Power regulation for digital electronics is very often done by voltage regulation.

 

Using LED lighting encourages the use of current-regulated loads. Most battery chargers have settings for regulating both the voltage and the current. DC sources and loads in microgrids, as well as digital loads, benefit from droop relationships.

 

The methods presented are not limited to these converter types; rather, they can be used with any DC-DC converter. Hard-switched converters, state feedback control, and large-signal tuning are all highlighted.

Control Objectives for DC-DC Converters

Table 1 summarizes the four different types of goals that DC-DC converter controls should meet. Both static and dynamic conditions are part of the operational necessities. Control is not always related to other operational needs, such as electromagnetic interference (EMI), efficiency, and dependability.

 

The need for fault management and protection are typically dealt with independently. Some large-signal controllers can directly manage many requirements in Table 1 that appear to be independent. The entire set of specifications shown in Table 1 is related to converter design.

Table 1. Converter Objectives With Control Implications. Source: IEEE Open Journal of Power Electronics

 

Inductor and capacitor selection affect the ripple bands and slew rate limits. Layout and parasitics both have an impact on EMI. However, it is theoretically possible to define a cost function J(x) that is connected to all of the operating variables and converter parameters, as shown in equation (1)

 

 

where ai are weights, x are independent variables, and fi(x) are functions of x and other parameters. The root-mean-square (RMS) current and flux (associated with losses), the output voltage error and ripple, the rise time of the load current, the peak voltage stresses of the device, the peak junction temperature, and the switching frequency variation are examples.

 

To take into account various operating points, converter topologies, and component considerations, the multi-objective optimization of power converters is formulated as a geometric program, a type of convex optimization problem. To increase the power density of DC-DC converters, it is also possible to incorporate electromagnetic effects and thermal management into the electrical design.

 

Similar terms could have been used to define a performance index, which is the opposite of a cost function. An optimization problem can be formed from a design or control problem, and the cost function must be minimized.

Control Methods to Address Timing Problem

The timing issue is simple to frame but difficult to solve in practice. With simplified requirements, it is easy to solve for simple converters. However, the difficulty of the issue increases with the inclusion of further specification details and uncertainty. It does inspire particular methods.

 

The goal of trajectory-based controls is to reformulate the timing problem as one with state variables. Alternatively, fast response relied on dedicated circuits like clamps. A converter is even modified with additional switches and devices to achieve faster disturbance rejection.

Challenges with Solving the Timing Problem

Because there is no simple solution to the generic switch timing problem, designers are limited to feasible methods. This typically adds two additional restrictions to those listed in Table 1.

 

There are limitations on the converter's operating regime. Setting a mandatory minimum switching frequency is a typical example. The foundation for control design and operation is a simplified model of the converter. Implementing a small-signal linearization of an averaged model is a classic example.

 

The first restriction reduces the amount of timing flexibility and makes the issue a cycle-by-cycle duty ratio. The second results in model-limited control, which may prevent access to the converter's full dynamic capabilities.

Factors Affecting the Control Methods

The block diagram of a fundamental feedback and feedforward buck converter control system is shown in Fig. 1. To prevent ripple effects, the feedback sensing block is band limited. Additional signal conditioning and analog-to-digital converters (ADCs) are required for digital control.

 

For accurate output regulation or tracking, output feedback is necessary. Control or current-regulated loads can both benefit from inductor current feedback. Either output feedback or state feedback can be used to control a converter.

 

Using input voltage, load current, or other data, feedforward action can improve disturbance rejection, lower audio susceptibility, and lower output impedance. To produce the gate signal for the controllable switch, the controller drives a modulator. A limiter function is necessary for the modulator in a boost converter.

 

Fig. 1. Feedback control of a buck converter. Source: IEEE Open Journal of Power Electronics

Small-Signal Control

There are a wide variety of uses for small-signal controllers. Network analyzers and other testing tools support the useful connection to conventional frequency-domain design procedures. Small-signal controllers have distinct soft start and inrush management, protection management, and strategies to adapt to a broad load range due to the need to design for a specified operating point. Improvements in dynamic performance are the subject of a large body of research.

 

The advantage of connecting to well-established frequency-domain design tools is a benefit of small-signal models and tuning. However, small-signal methods and models do not offer a systematic way to run dynamic response up to slew rate limits and do not take into account nonlinear factors like duty ratio saturation or current limits. Also, small-signal controls require independent blocks for large-signal startup and fault protection.

Large-Signal Control

Large-signal controllers, on the other hand, can facilitate changes between seemingly incompatible operating states. Conversions can make use of the slew rate capabilities of the converter. Both switching boundaries and operating points can be applied to the problem of starting up and handling faults.

 

Large-signal controllers provide useful alternatives for applications requiring fast dynamic response or a broad range of load conditions. Geometric controls can be visualized as involving multi-segment boundaries for functions like startup and fault protection.

 

To conclude, the robustness and sensitivity issues between small-signal and large-signal methods are actually fairly consistent. Knowing the parameters is helpful for both; feedforward is advantageous for both; the model performs best when it is accurate and complete; and adaptation to changing circumstances is helpful for both.

Summarizing the Key Points

  • New, higher-level controls for power converters are possible due to the development of fast wide bandgap switches, digital signal processing, and sensors.

 

  • Converter topology serves as a constraint in the control process, but with the right constraints, a single control method can be applied to a wide variety of circuits.

 

  • Pulse-width modulation and small-signal based feedback controls are commonly used for converters, but large-signal approaches are also available.

 

  • Geometric controls based on piecewise-linear large-signal analysis can provide the quickest dynamic response for high-performance DC-DC converters.

 

  • Low-cost digital controls make it possible to sample quickly and switch boundary controls, and high-performance DC-DC converters may benefit from the use of online adaptive geometric controls.

Reference

Kapat, Santanu, and Philip T. Krein “A Tutorial and Review Discussion of Modulation, Control, and Tuning of High-Performance DC-DC Converters Based on Small-Signal and Large-Signal Approaches.” IEEE Open Journal of Power Electronics 1 (2020): 339–71. https://doi.org/10.1109/ojpel.2020.3018311.

Rakesh Kumar, Ph.D.

Rakesh Kumar holds a Ph.D. in electrical engineering, specializing in power electronics. He is a Senior Member of the IEEE Power Electronics Society, Class of 2021. He writes high-quality, long-form technical articles for global B2B semiconductor brands. Feel free to reach out to him at rakesh.a@ieee.org! Checkout his complete portfolio @muckrack.com/rakesh-kumar-phd | @linkedin.com/in/rakesh-kumar-phd

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